Jamb 2024 Physics Likely Questions & Answers

 Physics 

JAMB 

Questions

655 

Physics 

1. In a resonance tube experiment, a tube of fixed 5. length in closed at one end and several turning 

forks of increasing frequency used to obtain  

resonance at the open end. If the turning fork with  

the lowest frequency which gave resonance had a  

frequency ƒ1 and the next turning fork to give  

resonance had a frequency ƒ2, find the ratio ƒ2/ ƒ1. 

1. 8 B. 3 

Brick 

Cord 

Pull 

Fig. 2 

1. 2 D. ½ 
2. 1/3 
3. Which of the following is NOT a vectorquantity A. Force B. Altitude 
4. Weight D. Displacement 
5. Acceleration. 

P1 

P3 O O3 

O2 

P2 

Fig. 1 

Consider the three forces acting at O and in  equilibrium as shown in Fig. 1. Which of the  following equation is/are CORRECT? 

1. P1 cos 01 = P1 cosO2
2. P3 = P1 cos O1 + P2 cos O2

III. P1 sin O1 = P2 sin O2 

1. I only B. II only C. III only D. II and III only E. I and III only 

Which of the following statements about friction  it NOT correct? 

1. The force of kinetic friction is less than  the force of static friction. 
2. The force of kinetic friction betweentwo  surfaces is independent of the areas in  

contact provided the normal reaction is  

unchanged. 

1. The force of rolling friction between two  surfaces is less than the force of sliding  

friction. 

1. The angle of friction is the angle between  the normal reaction and the force friction. 
2. Friction may be reduced by lubrication. 

A brick at rest on a horizontal table is pulled by a  horizontal cord, as shown in Fig. 2. The force of  friction on the brick 

1. Increase if the pull increases but the brick  does not move. 
2. Is directly horizontal to the right 
3. Decreases if an identical brick is placed  on the first. 
4. Is zero if the brick is pulled hard enough  tomake itslide. 
5. Change if the brick is turned on its side. 
6. The force with which an object is attracted to the  earth is called its 
7. Acceleration B. Mass 
8. Gravity D. Impulse 
9. Weight. 
10. The refractive index of a liquid is 1.5. If the velocity  of light in vacuum is 3.0 x 108m s-1, the velocity of  light in the liquid is 
11. 1.5 x 103ms-1
12. 2.0 x 103ms-1
13. 3.0 x 103ms-1
14. 4.5 x 103ms-1
15. 9.0 x 103ms-1
16. If the relative density of a metal is 19, what will be  the mass of 20cm3 of the metal when immersed in  water? 
17. 380g B. 400g 
18. 360g D. 39g 
19. 180g 
20. Which of the following statements about liquid  pressure is NOT correct? The pressure 
21. At a point in a liquid is proportional to  the depth. 
22. At any point in a liquid isthe same at the  same level. 
23. Is exerted equally in all directionsat any  point. 
24. Of a liquid at any point on the wall of its
    

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container acts in a direction  

perpendicular to thewall. 

1. At a particular depth depends on the  shape of the vessel. 
2. A ship traveling towards a cliff receives the echo  of its whistle after 3.5 seconds. A short while later,  it receives the echo after 2.5 seconds. If the speed  of sound in air under the prevailing conditions is  250m s-1, how much closer is the ship to the cliff? 
3. 10 m B. 125 m 
4. 175 m D. 350 m 
5. 1,000 m 
6. Which of the following is NOT correct? I. The pitch of a sound note depends on  the frequency of vibrations. 
7. The intensity of a sound note is  proportional to the amplitude of  

vibrations. 

III. Beats are produces by two sources of  sound because one wave is travelling  

faster than the other. 

1. When two sources of sound of  frequencies 500 Hz and 502 Hz are  

sounded together, a neat frequency of 2  

Hz is observed. 

1. The first harmonic of a note has double  the frequency of the fundamental note. 
2. If the pressure on 1000cm3 of an ideal gas is  doubled while its Kelvin temperature is halved,  then the new volume of the gas will become 
3. 25 cm3 B. 50 cm3
4. 100 cm3 D. 200 cm3
5. 400 cm3
6. A train has an initial velocity of 44m/s and an  acceleration of –4m/s2. Its velocity after 10 seconds  is 
7. 2m/s B. 4m/s 
8. 8m/s D. 12m/s 
9. 16m/s. 
10. Which of the following conditions are necessary  and sufficient for total internal reflection to take  place at the boundary between two optical media? I Light is passing from optically denser  medium to optically less dense medium. 

II Light is passing from optically less dense  medium to optically denser medium. 

III Angle of incidence is greater.  

IV Angle of incidence iflesser. 

1. I and IIonly 
2. II and II only 
3. III and IV only 
4. I and IIIonly 
   
5. C. 

I and II I and II 

1. D. 

II and III III and IV 

1. II and Iv only 
   
2. IV and V. 
3. Which of the following statements about defects  ofvision is/ areCORRECT 
4. For a long sighted person, close objects  appear blurred. 
5. For a sort sighted person, distant objects  appear blurred. 

III. Short sight is corrected by using a pair of  converging lenses. 

1. I onl B. II only 
2. I and II onl 
3. II and IIIonly 
4. I, II andIII. 
5. The range of wavelengths of the visible spectrum  is 400nm – 700nm. The wavelength of gamma rays  is 
6. Longer than 700nm 
7. Shorter than 700nm but longer than  400nm 
8. 550nm 
9. Shorter than 400nm 
10. Infinite 
11. A man of mass 50kg ascends a flight of stairs 5m  high in 5 seconds. If acceleration due to gravity is  10m s-2, the power expendedis 
12. 100W B. 300W 
13. 250W D. 400W 
14. 500W 
15. Which of the following arrangements in the  sequence shown can be used to obtain a pure  spectrum of whitelight? 
16. Source, slit, converging lens, prism,  converging lens, screen. 
17. Source, slit, diverging lens, screen. 
18. Source, converging lens, prism, diverging  lens, screen. 
19. Source,slit, prism, diverging lens, screen 19. 10V 

I12Ù 

I2

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2Ù I3 

I42Ù 

I51Ù Fig. 3. 

20V 1Ù

20V 

currents in each resistor is 

1. 1 A B. 4 A 
2. 16A D. 18A 
3. 36A 
4. In the circuit shown in Fig. 4, T is a resistor whose  resistance falls astemperature increases. L1and L2 are lamps. Assuming the cell has negligible internal  resistance, as the temperature of T increases 
5. L1 becomes brighter, L2 becomes dimmer. B. L1 and L2 becomes brighter. 
6. L1 becomes dimmer, L2 becomesbrighter. D. L1 becomes brighter, L2 does not change. E. L becomes dimmer, L does not change. 
   

The diagrams in Fig.3 show three circuits. The 

2 1 

internal resistances of the batteriesare negligible. 1L  

Which of the currents is the largest? T 

T 

1. I1 B. I2
2. I3 D. I4
3. I5
4. A milliameter with full scale deflection of 100mA  

has an internal resistance of 5 ohms. It would be  

converted to an ammeter with a full scale deflection  

of 1A by connecting a resistance of 

L2 

1. 5 

/ 

ohm in series with it  

Fig. 4. 

/ 

99 

ohm in parallel with it 25. Which of the diagrams in Fig. 5 gives the correct 

1. 599 
2. 99/ ohm in parallel withit 

5 

1. 99/ ohm in series with it 

5 

1. 2 ohmsin series with it 
2. It is usual to transmit electric power at high voltage  and low current. Which of the following are  possible advantages of the method. 

I Heat losses are reduced because the  currents are small. 

II Thin wires can be used because small  currents are flowing. 

III The power can flow faster because the  voltage is high. 

1. I only 
2. I and IIonly 
3. II and IIIonly 
4. I and IIIonly 
5. I, II andIII. 

resultant R of two vectors P and  

Q? 

P P 

R 

I II 

R 

Q 

Q 

P P 

R 

III IV 

R 

22. The linear expansivity if brass is 2 x 10-1 0C-1. Ifthe P  volume of a piece of brass is 100cm3at 00C, what 

will be its volume at 1000C? 

R fig 5. 

10. 10.02 cm3 B. 10.04 cm3 V Q C. 10.06 cm3 D. 10.20 cm3
11. 102.00cm3
12. A 24V potential difference is applied across a  

parallel combination of four 6-ohm resistors. The 

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1. I B. II 
2. III D. IV 
3. V 
4. The electrochemical equivalent of a metal is 0.126  x 10-6 kg/C. The mass of the metal that a current of  5A deposit from a suitable bath in 1 houris 
5. 0.0378 x10-3kg 
6. 0.227 x 10-3kg 
7. 0.378 x 10-3kg 
8. 0.595 x 10-3kg 
9. 2.268 x 10-3kg 
10. Ripples on water aresimilar to light waves in that  they both 
11. Have the samewavelength 
12. Are longitudinal 
13. Cannot be reflected 
14. Travel at the same speed 
15. Can be refracted and diffracted. 
16. A piece of wood is floating on water. The forces  acting on the wood are 
17. Upthrust and reaction. 
18. Weight and reaction 
19. Weight and upthrust 
20. Upthrsut and viscosity 
21. Weight and viscosity. 
22. Of the following derived units, the one that is not a unit of power is 

end. Calculate the unstretched length of the spring  assuming Hooke’s law is obeyed. 

9. 9.33 cmB. 10.00cm 
10. 10.66cm D. 12.00cm 
11. 15.00cm 
12. Each of the diagrams in Fig. 6 represents two  current carrying conductors situated close to each  other. In which two diagrams are the forces  between the two wires attractive? 

I 

II 

III 

1. Joule/second IV B. Ampere/volt 
2. Amphere2volt 
3. Ohm2/volt 
4. Volts2/ohm. 
5. A force of 16N applied to a 4.0kg block that is at  rest on a smooth horizontal surface. What isthe 

velocity of the block at t = 5 seconds? V A. 4 m/s B. 10 m/s 

1. 20 m/s D. 50 m/s 
2. 80 m/s 
3. 1,000 identical drops of oil of density 5000kg/m3 have a total mass of 5 x 10-4kg. One of the drops  

Fig .6 

forms a thin film of area 0.5m2 on water. The  thickness ofthe film is 

1. 2x 10-8m B. 2 x 10-9m  
2. 2x 10-7m D. 3x 10-9m 
3. I andV C. II and IVD. E. III andIV 
4. I and III  II andV 
   
5. 2.8x 10-8m. 
6. The total length of a spring when a mass of 200g is  hung from its end is 14cm, while its total length is  16cm when a mass of 30kg is hung from the same 
7. Which of the following statementsis CORRECT? I The mass number is equal to the total number of protrons and electrons in an 

atom. 

II The atomic number is equal to the number  of protrons in an atom

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III The number of electrons in an atom is  equal to the total number of protons and  

neutrons in the nucleus. 

1. I only B. II only 
2. III only D. I and II only E. II and III only. 
3. A short response time is obtained in a liquid-in glass thermometer when the 
4. Bulb islarge and thick-walled. 
5. Stem islong and thin. 
6. Bulb issmall and thick-walled. 
7. Bulb is high densityand the bore islarge. E. Bulb isthin-walled and the liquid is a good  conductor of heat. 
8. A machine has a velocity ratio of 5. It requires a  50kg weight to overcome a 200kg weight. The  efficiency is 

P 

R 

Fig. 7 

In Fig. 7 above, QR is a vertical conductor and the  current I flows from R to Q. P is a point on the  horizontal plane and it to the South of the wire.  The direction of the magnetic filed at P due to the  current is 

1. 4% B. 5% A. Upward B. North C. 40% D. 50% C. South D. West E. 80% E. East 
   
2. If the normal atmospheric pressure in a laboratory  supports a column of mercury 0.76m high and the  relative density of mercury is 13.8, then the height  of water column which atmospheric pressure will  support in the same laboratory at the same time is 
3. 0m B. 10m 
4. 13m 
5. 14m 
6. 18m 
7. An electric current of3A flowing through an electric  heating element of resistance 20 embedded in  1,000g of an oil raisesthe temperature ofthe oil by  100C in 10 seconds, then the specific heat capacity  of the oil is 
8. 1.8 J/g B. 0.6 J/g 
9. 0.18 J/g 0C D. 1.8 J/g 0C  E. 0.06 J/g0C 
10. The difference of potential between the terminals  of a cell is 2.2 volts. When a 4 ohm resistor is  connected across the terminals of this cell, the  potential difference is 2 volts. What is the internal  resistance of the cell? 
11. 0.10 ohms B. 0.25 ohms C. 0.40 ohms D. 2.50 ohms E. 4.00 ohms. 
12. Q 

I 

41. Which of the following best describes the energy  changes which take place when a steam engine  drives a generator which lights a lamp? 
42. Heat Light Sound  Kinetic 
43. Kinetic Light Heat  Electricity 
44. Heat Kinetic Electricity  Heat and Light 
45. Electricity Kinetic Heat Light 
46. Heat Sound Kinetic  Electricity. 
47. Which of the following statements clearly describe  the behaviour of the fire alarm shown in Fig. 8  below given that the linear expansivities of copper  and steel are 2.0 x 10-5/0C and 1.2 x 10-5/0C  respectively? 

Electric  

bell

Copper 

P Steel Q 

Fig. 8. 

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I The bimetallic strip will not be able to  close the circuit when there isfire 

II The bimetallic strip will close thecircuit  when there isfire 

III If the copper and steel are interchanged,  the circuit will close when there isfire. 

1. I only B. II only 
2. III only D. I and III 
3. II andIII 
4. Four equal resistors R1, R2, R3 and R4 are connected  in series asshown in Fig 9 below. V1, V2and V3are  voltmeters connected as indicated. Which of the  following relationsis CORRECT? 
5. V1 = V3 = V2 .2 
6. V1 = 2V2 =V3 C. V = ½ V = V2

1 3 

1. V1 – V3 =V2
2. V2 – V1 = V3 .2 
3. Which of the following may be used todetermine  relative humidityin a physics laboratory? 

I Manometer 

II Wet-and-dry bulb hygrometer  

III Hair hygrometer 

IV A hydrometer 

1. I only 
2. II and IIIonly 
3. II only 
4. III only 
5. II, III and IV only 
6. PQ is a thin rod on a horizontal table, RS is a plane  mirror inclined at 450C to the horizontal as shown  in Fig. 10 above. The image of PQ as seen in the  mirror by the eye, Tis 
7. Horizontal 
8. Parallel to the mirror 
9. At infinity 
10. Vertical 
11. Highlymagnified. 
12. The speed oflight in vacuum is 3.0 x 108m s-1. Ifthe  refractive index of a transparent liquid is 4/3 then  the speed of light in the liquid is 
13. 0.44 x 108ms-1
14. 2.25 x 108ms-1
15. 3.0 x 108ms-1
16. 4.0 x 108ms-1
17. 4.33 x 108ms-1
18. Ifthe force on a charge of 0.2 coulomb in an electric  field is 4N, then the electric field intensity of the  field is 
19. 0.8 B. 0.8 N/C C. 20.0N/C D. 4.2 N/C 
20. 20.0C/N 
21. The specific latent heat of vapourization of a  substance is always 
22. Lessthan itsspecific latent heat offusion. B. Greater than its specific heat offusion. C. Equal to its specific latent heat offusion D. All of the above depending on thenature  of the substance 
23. None of the above 
24. Longitudinal waves do notexhibit 
25. Refraction B. Reflection C. Diffraction D. Polarization E. Rarefaction 

Fig. 11 above shows an inverted U-tube with the  open end, O of one limb below the level, W, of the  water in a tank. In order that water should begin to  flow from the tank it is necessary that 

1. The U-tube is completelyfilled with water  and P should be higher than W. 
2. P should be lower than O and W 
3. P should be lower than W and O should  reach to the bottom of the vessel. 
4. The U-tube is completelyfilled with water  and P should be lower than W. 
5. The U-tube is completely filled with water  and O should reach the bottom of the  

vessel.

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Physics 1984 

1. The distance travelled by a particle starting from  rest is plotted against the square of the time elapsed  from the commencement of motion. The resulting  graph is linear. The slope ofthis graph is a measure  of 
2. Initial displacement 
3. Initial velocity 
4. Acceleration 
5. Half the acceleration 
6. Half the initialvelocity 

P T 

Q R S 

0.1N 0.4N 

Fig. 1 

In Fig. 1, PT is a uniform metre rule pivoted at R,  the 70cm mark. Two forces 0.1N and 0.4N are  applied at Q, the 60cm mark and S. the 85cm mark.  Ifthe metre rule is kept in equilibrium by the forces  and its weight, then the weight ofthe metre rule is 

1. 0.25 N B. 0.30 N 
2. 0.35 N D. 0.50 N 
3. 0.56 N
4. For which of the underlisted quantities is the  derived unit ML2T-2correct? 

I Moment of a force 

II Work 

III Acceleration 

1. I only B. II only 
2. III only D. I and II 
3. II andIII 
4. What volume of alcohol with a density of 8.4 x  102kg m-3 will have the same mass as 4.2m3 of petrol  whose density is 7.2 x 102kg m-3? 
5. 1.4 m3 B. 3.6 m3
6. 4.9 m3 D. 5.0 m3
7. 5.8 m3
8. For correcting long sight defectsin the human eye  we require a 
9. Converging lens 
10. Diverging lens 
11. Microscope 
12. Periscope 
13. Plain glass sheet. 
14. For a concave mirror to form a real diminished  image, the object must be placed 
15. Behind themirror 
16. Between the mirror and infocus 
17. Between the focus and the center of  curvature 
18. At the center of curvature 
19. At a distance greater than the radius of  curvature. 
20. The unit quantity of electricity is called A. The ampere 
21. The volt 
22. The coulomb 
23. The ammeter 
24. Electromotive force. 
25. The resistance of a wire depends on A. The length of thewire 
26. The diameter of the wire 
27. The temperature of the wire 
28. The resistivity of thewire 
29. All of the above. 
30. What is the resistance ofthe circuit shown in Fig.  2. 

2Ohms 

2Ohms 

3 Ohms 

4Ohms 

Fig. 2 

1. 4 Ohms B. 11 Ohms C. 19/ Ohms D. 17/ Ohms 5 4 
2. 8Ohms 
3. Two cells, each of e.m.f. 1.5V and an internal  resistance 2Ohms are connected in parallel.  Calculate the current flowing when the cells are  connected to a 1 Ohmsresistor. 
4. 0.75 Ohms B. 1.5 Ohms C. 0.5 Ohms D. 1.0 Ohms E. 0.6 Ohms 
5. Which of the following components is NOT  contained in a dry cell?A 
   

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1. Carbon rod 
2. Paste of magnesiumdioxide 
3. Paste of ammoniumchloride 
4. Zinc case 
5. Copper rod. 
6. Which of the following can be described  as high tension transmission? 
7. High resistance and low voltage 
8. Low current and high voltage 
9. High current and low voltage 
10. High voltage and zero current 
11. High current and lowresistance. 
12. All the heat generated in a 5 ohms resistor by 2A  flowing for 30 seconds is used to evaporate 5g of  liquid at its boiling point. Which of the following  is the correct value of the specific latent heat of  the liquid? 
13. 120 J B. 60 J g-1 C. 120 J g-1 D. 1 500 J 
14. 1 500 Jg-1
15. When vibration occurs in an air column, the  distance between a node and an antinodes is equal  to 
16. One-quarter of the wavelength 
17. One-half of the wavelength 
18. The wavelength 
19. Twice the wavelength 
20. Four-times the wavelength. 
21. Which of the following statements is (are) NOT correct? 

I Pressure changes do not affect the speed  of sound in air 

II The velocity of sound increases with  temperature 

III The quantity of a note depends only on  its frequency. 

1. I only B. II only 
2. III only D. I and IIIonly 
3. II and IIIonly. 
4. Of two identical turning forks with natural  frequency 256 Hz, one isloaded so that 4 beats per  second are heard when they are sounded together.  What is the frequency of the loaded turning fork? 
5. 260Hz B. 252Hz 
6. 248Hz D. 264Hz 
7. 258Hz 
8. Dew point is the temperature at which water  vapour in the atmosphere 
9. Has a relative of fifty percent. 
10. The lower and upper fixed points marked on a  mercury-in-glass thermometer are 210mm apart.  The end ofthe mercury column in the tube is 49mm  above the lower fixed point in a room. What is the  temperature of the room in degreesCelsius? 
11. 55.30C B. 23.3 0C 
12. 49.00C D. 16.1 0C 
13. 76.70C 
14. If a solid changes directly into a gas when heat is  applied the process is called 
15. Vaporization 
16. Evaporation 
17. Sublimation 
18. Ionization 
19. Conversion. 
20. A plane inclined at an angle of 300to the horizontal  has an efficiency of 60%. The force parallel to the  plane required to push a load of 120N uniformly  up the plane is 
21. 60 N B. 100N 
22. 120N D. 200N 
23. 240N 
24. A body of mass 5kg initially at rest is acted upon  by two mutually perpendicular forces 12N and 5N  as shown in Fig. 3. If the particle moves in the  direction QA, calculate the magnitude of the  acceleration. 
25. 0.40ms-2B. 1.40m s-2
26. 0.26ms-2 D. 2.60m s-2
27. 3.40ms-2

A 

12N 

è 

O 

5N 

Fig. 3 

20 

10 

Force  

1. Turns into steam 
2. Solidifies into icepellets C. First condenses into liquid form D. Is just sufficient to cause cooling 

(N)

0 5 1 0 15 20 Fig. 4 Distance (m) 

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body by the force during the first 10 metres of  motion is 

1. 100J B. 150J 
2. 200J D. 300J 
3. 600J 
4. A simple pendulum, 0.6m long, has a period of 1.5 s. what is the period of a similar pendulum 0.4m  long in the same location? 
5. 1.4 2/ s B. 1.5 3/ 

3 2 

2. 2.25 s D. 1.00 s 
3. 2.00 s 

A force varying linearly with the distance acts on  a body as shown in Fig. 4. The work done on the  body by the force during the first 10 metres of  motion is 

1. 100J B. 150J 
2. 200J D. 300J 
3. 600J 
4. A simple pendulum, 0.6m long, has a period of 1.5 s. what is the period of a similar pendulum 0.4m  long in the same location? 
5. A particle moves in a circular orbit ofradius 0.02m.  If the speed of the particle is 0.88m s-1, calculate its  frequency in cycles per second. 
6. 2.0 B. 7.0 
7. 8.8 D. 14.0 
8. 17.6 
9. Heat is supplied uniformly at the rate of 100W to 1.0 x 10-2kg of a liquid for 20 seconds. If the 

temperature of the liquid rises by 50C, then the  specific heat capacity of the liquid is 

2. 2.0 x 102J kg-1 K-1
3. 2.0 x 102J kg-1
4. 4.0 x 104J kg-1 K-1
5. 4.0 x 104J kg-1
6. 8.4 x 103J kg-1 K-1
7. A given mass of an ideal gas occupies a volume V  at a temperature T and under a pressure P. If the  pressure is increase to 2P and the temperature  reduced to 1/2T, then the percentage change in  the volume of the gasis 
8. 0 % B. 25 % 
   
9. 1.4 “ 2/ s B. 1.5 “3/ C. 75 % D. 300 % 3 2 
10. 2.25 s D. 1.00 s E. 400 %
    
11. A small steel needle is carefully floated on water in  a beaker. When a few drops of kerosene are  introduced into the water the needle sinks. Which  of the following statements correctly explain(s) the  observation? 

I There is a tension on the water surface. II Kerosene reduces the density of water so that the needle becomes denser than 

water. 

III Kerosene reduces the surface tension of  water. 

1. I only B. II only 
2. III only D. I and II 
3. I and III 
4. Which of the following statements describes an  atom accurately? 

I Atoms of all elements are identical 

II An atom contains a nucleus and number  of electrons. 

III Due to the electronsin the atom, an atom  is negatively charged. 

IV Electronsin the atom move in circular  orbits round the nucleus. 

1. I and II B. II and III C. III and IV D. II and IV E. I, II and III 
2. Which of the following properties of matter  CANNOT be utilized for temperature measurement?  The 
3. Length of a liquidcolumn 
4. Volume of a gas at constant pressure. C. Pressure of a gas at constant volume D. Resistance of a metallic wire 
5. Current produced in a photoelectric  effect. 
6. The image and object distances of a converging  mirror are related by the equation 1/ = 1/ + 1/ and ƒ v u the magnification of the image is m = v/u. Which  of the graphs below represents the relation  between m and v? 
7. D. 

m m 

v v 

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B C. Increasing the speed ofrotation. m m D. Making the field magnet longer. E. Using low resistance copper coil. 

v v 

II 

C.. 

m 

34. I S 

N

v 

31. Which of the following statements about the  compound microscope and astronomical telescope  

is (are) correct? 

I The final image of a compound  

microscope is located atinfinity. 

III 

Earth’s  magnetic  field 

Fig. 5 

II The final image of the astronomical  

telescope is always erect. 

III The objective lens of a compound  

microscope has a very short focal length. 

1. I only B. II only 
2. III only D. I and III 
3. II andIII 
5. A coin is placed at the bottom of a cube of glass  tcm thick. If the refraction index of the glass is ø,  how high does the coin appear to be raised to an  observer looking perpendicularly into the glass?  A. 1 .

t – ø 

Ashort bar magnet is placed in the earth’s magnetic  field as shown in Fig. 5. Which ofthe points II and  II is (are) possible position(s) of a natural point? A. I only B. II only C. III only D. I and II E. I, II andIII 

4 UF 

3 UF 

1. t(ø – 1)

ø 

1. t>ý 1 + 1/ø?ý 
2. t .

ø 

1. t 
2. The electromotive force obtained from a simple  dynamo may be increased by 
3. Increasing the cross-sectional area of the  coil. 
4. Winding the coil on a soft-iron armature  so as to increase the magnetic flux  

through the coil. 

4 UF 2 UF 

Fig. 6 

In the circuit in Fig. 6, calculate the effective  capacitance between X and Y. 

1. ¾ UF 
2. 2 10/ UF 

13 

1. 12 UF 
2. 4 12/ UF 

13 

1. 13 UF 
2. Agun ofmass 2.0kg fires a bullet ofmass 1.6 x 10-2kg  due East. If the bullet leaves the nozzle of the gun 
   

665 

with a velocity of 150m s-1, what is the recoil  velocity of the gun? 

1. 150 m s-1 dueWest 
2. 1.2 x 10-4 m s-1 due West. 
3. 1.2 m s-1 due West 
4. 1.2 m s-1 dueEast 
5. 150 m s-1 dueEast 
6. Normal atmospheric pressure at sea-level is 105N  m-2and the acceleration due to gravity is  approximately 10m s-1. If the atmosphere has a  uniform density of 1kg m-3, its height is 
7. 100 m 
8. 1000 m 
9. 10 000m 
10. 100 000m 
11. 1000 000m 
12. Which of the following is a correct explanation of  the inertia of a body? 
13. Ability to overcome the earth’sgravity B. Reluctance to stop moving 
14. Readiness to start moving 
15. Reluctance to start moving and its  readiness to stop moving once it has  

begun to move 

1. Reluctance to start moving and its  reluctance to stop moving once it has  

begun to move. 

39. If a water pump at Kainji Dam is capable oflifting  1000kg of water through a vertical height of 10m in  10s, the power of the pump is 
40. 1.0 kW B. 10.0 kW 
41. 12.5kW D. 15.0 kW 
42. 20.0kW 

(g = 10m s-2) 

40. What isthe apparent colour of a RED SHIRT when  viewed in PURE green light? 
41. Red B. Green 
42. Yellow D. Black 
43. Blue 
44. The spectrum of white light consists of coloured  lights arranged in the following order 
45. Blue, red, green. Yellow, indigo, violet,  orange. 
46. Red, orange, yellow, green, blue, indigo,  violet. 
47. Red, orange, yellow, indigo, green, blue,  violet. 
48. Indigo, green, blue, violet, yellow, red,  orange. 
49. Yellow, blue, green, violet, orange,indigo,  red. 
50. Cathode rays are 
51. High-energy electromagneticwaves B. Protons 
52. Streams of electrons 
53. Neutrons 
54. Radio waves 
55. A device that convertssound energy into electrical  energy is 
56. The horn of a motor car 
57. An A.C.generator 
58. A microphone 
59. The telephone earpiece 
60. Aloudspeaker. 
61. Which of the following  

I â-particles 

II Protons 

III Neutrons 

IV á-particles 

may be found in light nuclei? 

1. I andII 
2. I and III 
3. II and IV 
4. II and III 
5. I, II, andIII. 
6. Radio waves have a velocity of 3 x 108m s-1. Aradio  station sends out a broadcast on a frequency of  800 kHz. The wavelength of the broadcastis 
7. 375.0m 
8. 267.0m 
9. 240.0m 
10. 37.5m 
11. 26.7m 

X 

4Ohms  

Y 

6Ohms 

Fig. 7

In the diagram above (Fig. 7), X and Y are  resistances 45 ohms and 65 ohms respectively. If  power dissipation in X is 10W, then power  dissipation in Y is 

2. 2.4 W B. 4.0 W 
3. 6.0 W D. 6.7 W 
4. 15.0W 
   

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47. What is the cost of running five 50W lamps and  four 100W lamps for 10 hours if electrical energy  costs 2 kobo per kWh? 
48. N 0.65 B. N 0.13 C. N 3.90 D. N 39.00 E N 234.00 
49. Which of the following statements is (are) NOT  true about the emission of photoelectrons from  metallic surfaces? 

I All metallic surfaces emit the same  number of photoelectrons in a givenlight. 

II Most metallic surfaces in visible and  infrared light. 

III A metallic surface emits photoelectric only  iffrequency of the incident light is higher  

than its own characteristic threshold  

frequency. 

1. I only B. II only 
2. I and II D. II andIII E. III only 
3. A galvanometer of resistance 5.0Ù has full-scale  deflection for a current of 100mA. Howwould its  range be extended to 1.0A by placing a resistance  of 
4. 5/ Ohms in parallel 
5. Fig 8 above represents an insulated cylindrical coil  or copper wire wound round a paper tube. The  

ends of the coil are connected to a sensitive  galvanometer. When a magnet was plunged into  the coil it was observed that the galvanometer  needle gave a deflection. Which of the following  correctly describes this experiment? 

1. The effect illustrated is induced  electromotive force. 
2. The strength of the current produced is  inversely proportional to the speed with  

which the magnet is plunged into the coil. 

1. The direction of the current is always  such as to enhance the change producing  
3. The galvanometer gave a permanent 
   

/

9 

1. 95 Ohms in series deflection. 
   
2. 45 Ohms in parallel D. 45 Ohms inseries E. 9/ Ohms in parallel. 5 
3. On removing the magnet from the coil the  

galvanometer deflected in the same  

direction. 

Physics 1985 

1. Which of the following is NOT a fundamental S.I.  unit? 
2. Metre B. Ampere 
3. Kelvin D. Second 
4. Radian 
5. A simple pendulum with a period of 2.0s has its  length doubled. Its new period is 
6. 1.00 s B. 1.41s 
7. 0.35 s D. 2.83s 
8. 4.00 s 
9. Which of the following statements are true about  the spring balance and the chemicalbalance? 

I Both are used to measure the mass of an  object. 

II Either of them may be used to measure  the weight of an object. 

III The spring balance works on the principle  of Hooke’slawwhile the chemical balance  works on the principle of moments. 

IV A change in gravity changes the readings  of a spring balance but not that of a  chemical balance. 

1. I and IV B. II andIII C. III and IV D. I, II, and III E. I and III. 
   

667 

4. Which of the following types of motion are  oscillatory? 

I A driving board when used by adriver. II Themotion ofthe balance wheel of a wrist  watch. 

III The motion of the turn-table of a record  player. 

IV The motion of the center of a ten kobo  piece as it rolls down an inclinedplane. 

1. The motion of the needle of a D.C.  ammeter into which a lowA.C. current is  

passed. 

1. I and II only B. I, II andIII C. II, IIIand IV D. I, II andV E. III,IV, andV. 
2. A metal block of mass 5kg lies on a rough horizontal  platform. If a horizontal force of 8N applied to the  block through its centre of mass just slides the  block on the platform, then the coefficient of  limiting friction between the block and the platform  is 
3. 0.16 B. 0.63 
4. 0.80 D. 1.60 
5. 2.00 
6. Which of the following is NOT a force? 
7. Friction 
8. Tension 
9. Upthrust 
10. Weight 
    

10 

8 

 

1. Impulse. 
2. Two masses 40g and 60g respectively, are attached  firmly to the ends of a light metre rule. The centre  of gravity of the system is 

Velocity 

(ms-1) 6 

4 

2 

0 1 2 3 

Time (s) 

4 5 6 

Fig 1 

1. At the mid-point ofthe metre rule B. 40cmfrom the lighter mass 
2. 40cm from the heavier mass 
3. 60cm from the heavier mass 
4. indeterminate because the metre-rule is  light. 

P 

The graph Fig. 1 above describes the motion of a  particle. The acceleration of the particle during the  motion is 

1. 0.00m s2 B. 0.25m s-2 C. 4.00m s 2 D. 8.00m s-2

10 20 300 80 

10. 10.00m s-2 N 

M 

L R O 

6. If a car starts from rest and moves with a uniform  
   

acceleration of 10m s-2for ten seconds, thedistance  it covers in the last one second of the motion is  A. 95 m B. 100m 

30kg 

Fig 2 

1. 500m D. 905m 
2. 1000m 
3. A block of mass 2.0kg resting on a smooth  horizontal plane is acted upon simultaneously by  two-forces, 10N due North and 10N due East. The  magnitude of the acceleration produced by the  forces on the block is 
4. 0.10m s-2 B. 7.05m s-2
5. 10.00m s-2 D. 14.10m s-2
6. 20.00ms-2

In Fig. 2 above. MN is a light uniform metre rule  pivoted at O, the 80cm mark. A load of mass 3.0kg  issuspended on the rule at L, the 10cm mark. Ifthe  rule is kept in equilibrium by a string RP, fixed at P  and attached to the rule at R, the 20cm mark, then  the tension T in the string is 

1. 25 N B. 50 N C. 250 N D. 5 000N E. 25000N 

A 0.05kg bullet traveling at 500m s-1 horizontal  strikes a thick vertical wall.Aload ofmass 3.0kg is

668 

suspended on the rule at L, the 10cm mark. If the  rule is kept in equilibrium by a string RP, fixed at P  and attached to the rule at R, the 20cm mark, then  tension T in the string is 

1. 25 N B. 50 N C. 250 N D. 5 000N E. 25000N 
2. A force of 100N stretches an elastic string to a  total length of 20cm. If an additional force of 100N  stretches the string 5cm further, find the natural  length of the string. 
3. 15cm B. 12cm 
4. 10cm D. 8 cm 
5. 5 cm 
6. Two drivers G and H are at depths 20m and 40m  respectivelybelowthe water surface in a lake. The  pressure on G is P1 while the pressure on H is P1. If  the atmospheric pressure is equivalent to 10m of  water, then the value of P2/P1is 
7. 0.50 B. 0.60 
8. 1.67 D. 2.00 
9. 3.00 
10. The areas of the effort and load pistons of a  hydraulic press are 0.5m2and 5m2respectively. If a  force F1of 100N is applied on the effort piston, the  force F2 on the load is 
11. 10 N B. 100 N 
12. 500 N D. 1000 N 
13. 5 000N 
14. A metal cube of volume 103mm3is lowered into a  measuring cylinder containing water. If the internal  cross-sectional area of the cylinder is 1.5 x 102 mm2,  by how much does the water level rise in the 

cylinder? 

19. Two liquids, P at a temperature of 200C and Q at a  temperature of 800C have specific heat capacities  of 1.0J kg-1 0C-1and 1.5J kg-1 0C-1respectively. If equal masses of P and Q are mixed in a lagged  calorimeter, then the equilibrium temperature is  A. 440C B. 500C 
20. 560C D. 600C 
21. 700C 
22. A quantity of gas occupies a certain volume when  the temperature is – 730C and the pressure is 1.5  atmospheres. If the pressure is increased to 4.5  atmospheres and the volume is halved at the same  time, what will be the new temperature of the gas?  A. 5730C B. 3270C 
23. 3000C D. 1100C 
24. 270C 
25. In a gas experiment, the pressure of the gas is  plotted against the reciprocal of the volume of the  gas at a constant temperature. The unit ofthe slope  of the resulting curve is 
26. Force B. Force/m 
27. Work D. Force/m3 E. Energy/m2. 
28. Water shows anomalous behaviour 
29. Below00C 
30. Between 00C and40C 
31. At exactly40C 
32. Between 40C and1000C 
33. Above 1000C 
34. Two thermos flasks of volume Vx and Vy are filled  with liquid water at an initial temperature of 00C.  After some time the temperatures were found to  be èx, èy respectively . given that 
    
35. 6.67 x100mm B. 8.50 x 102mm Vx = 2 and èx = ½ 
    
36. 1.15 x103mm D. 2.50 x 103mm  E. 1.50×105mm 

Vy èy 

The ratio of the heat flow into the flasks is 

17. A uniform cylindrical block ofwood floatsin water A. 1/ B. ½ 
    

with one-third of its height above the waterlevel.  In a liquid ofrelative density 0.8, What fraction of  its height will be above the liquid level? 

4 

1. 4 D. 1 E. 2 
   
2. 1/ C. 1/ E. 5/ 

6 3 6 

1. 1/ D. 4/ 
2. A good calorimeter should be of 

5 

1. Low specific heat capacity and low heat  

5

conductivity. 

1. Lowspecific heat capacity and high heat 
   
2. A thin aluminum plate has a surface area of1,500m2 at 200C. What will be its surface area when it is  cooled to – 200C? 

(Take the linear expansivityof aluminium to be 2.5  x 10-5K-1) 

1. 1.503m2 B. 1.500 m2 C. 1.498m2 D. 1.497 m2 E. 1.490m2

conductivity. 

1. High specific heat capacity and lowheat  conductivity 
2. High specific heat capacity and lowheat  conductivity, 
3. Dull surface and low heat conductivity. 
   

669 

25. Which ofthe following statementsisNOT correct? 
26. Boiling occurs when the saturated  vapour pressure of the liquid involved  

equals the externalpressure. 

1. Both the boiling point and the saturated  vapour pressure of a given liquiddepend  

on the external pressure. 

1. The saturated vapour pressure rises with  increase in temperature. 
2. The saturated vapour pressure is  independent of the volume available for  

the vapour. 

1. It is possible to boil water at a lower  temperature than 1000C at highaltitude. 
2. Which of the following phenomena CANNOT be  explained by the molecular theory of matter? 
3. Expansion B. Conduction C. Convection D. Radiation E. Evaporation. 
4. In order to find the depth of the sea. A ship sends  out a sound wave and receives an echo after one  second. If the velocity ofsound in water is 1500m/s,  what is the depth of the sea? 
5. 0.75km B. 1.50km 
6. 2.20km D. 3.00km 
7. 3.75km 
8. When a sound wave passes from air into water its A. Speed and frequency increase but its  wavelength remains the same. 
9. Speed and wavelength increase but its  frequency remains thesame 
10. Speed decreases. 
11. Speed remains the same but its frequency  and wavelength change. 
12. Speed increases but its frequency and  wavelength decrease. 
13. Ifthe fundamental frequencyof a closed pipe organ  on a day when the speed of sound is 340m s-1is  170 Hz, then the length ofthe pipe is 
14. 50cm B. 70cm 
15. 100cm D. 150cm 
16. 200cm 
17. An object is placed 15cm in front of a concave  mirror ofradius 40cm. The image formed is 
18. Virtual and 60cm behind the mirror 
19. Real and 60cmin front ofthe mirror 
20. Virtual and atinfinity 
21. Real and at infinity 
22. Virtual and 40cmfromthemirror. 
23. A 450triangular glass prism can be used as a  reflector of light because 
24. Refraction never takes place in such a  prism 
25. The angle of reflection equals the angle  of incidence. 
26. The refractive index of glass is less than  1 
27. It is transparent 
28. The critical angle for glass is less than  450
29. A convexmirror is used as a driving mirror because  I Its image iserect 

II It has a large field of view 

III It has a long focal length  

Identify the CORRECT statement(s). 

1. I and IIIonly 
2. I and IIonly 
3. II and IIIonly 
4. I, II and III only 
5. I only 
6. Two rays of light from a point below the surface of  water are equally inclined to the vertical and are  inclined to each other at 600in water. What is the  angle between the rays when they emerge into  air? 

(Take the refractive index of water to be 4/3)  

41. 41.80 B. 44.10
42. 60.00 D. 83.60
43. 120.0. 
44. A narrow beam of white light can be split up into  different colours by a glass prism. The correct  explanation isthat 
45. White light is an electromagnetic wave 
46. The prism has all the colours ofthe white light C. White light has undergone total internal  reflection in the prism 
47. Different colours of white light travel with  different speeds in glass. 
48. White light consists of yellow, green and red  colours. 
49. A charge of one coulomb liberates 0.0033g of  copper in an electrolytic process. How long will it  take a current of 2A to liberate1.98g of copper in  such a process. 
50. 5 minutes B. 30 minutes C. 50 minutes D. 60 minutes E. 120 minutes 
51. If the distance between two stationary charged  particles is doubled, the magnitude of the  electrostatic force between them will be
    

670 

1. Passing on an electric current through a  solenoid. 
2. Repeated stroking of the specimen with  a magnet 
3. Repeated stroking of the specimen in  opposite directions with two magnets 
4. Heating of the specimen 
5. Hammering of the specimen in the earth’s  magnetic field’s 
6. Which ofthe following will convert a milliammeter  to a voltmeter? 
7. Low series resistance 
8. Low parallelresistance 
9. High series resistance 
10. High parallel resistance 
11. Parallel resistance equal to milliameter  resistance. 
12. Which of the graphs A – E (Fig. 3) representsthe  current-voltage (I – V) relationship for a cell with  internal resistance? 
14. An electric kettle, connected to a 240V mains,  produces 6.0 x 105J of heat energy to boil a quantity  of water in 5 minutes. Find the resistance of the  kettle. 
15. 14.4 ohms B. 28.8 ohms C. 144 ohms D. 288 ohms E. 2 880 ohms 
16. On which of the following doesthe operation of a  moving coil ammeterdepend? 

I Electromagnetic induction. 

II Force on a current-carrying  

conductor in a magnetic field. 

III Magnetic effect of anelectric current. A. I only B. II only 

1. III only D. II andIII E. I, II andIII 

10 Ohms 

I 5Ohms

Fig. 4 

In Fig. 4, current (I) passes through the parallel  

combination. If the power dissipated in the 5 ohms  

V 

I 

V 

I 

V 

resistor is 40W, then the power dissipated in the  10 ohms resistor is 

1. 10 W B. 20 W 
2. 40 W D. 80 W 
3. 100W 
4. Which ofthe following statementsis NOT correct? 
5. A galvanometer can be converted to an  
6. E. I 

V 

Fig. 3 

I 

V 

ammeter with a different range by  

connecting a high resistance in series. B. An electric current always produces a  magnetic field 

1. Maxwell’s screw rule states that if a  corkscrew moves in the direction of the  current, the hand turns in the direction of  the lines offorce. 
2. Electromagnets are used in electric bells  and telephone receivers. 
   
3. A wire P has half the diameter and half the length  of a wire Q of similar material. The ratio of the  resistance of P to that of Q is 
4. 8 : 1 B. 4 :1 
5. 2 : 1 D. 1 :1 
6. 1 :4 
7. The lines offorce round a straight current  carrying conductor arecircular. 
8. A transformer has a primary coil with 500 turns  and secondary coil with 2500 turns. When the  voltage input to the primary coil is 120V, the output  is 
   

671 

1. 6000V B. 600 V 
2. 240V D. 60 V 
3. 24 V 
4. Which of the following statements about  electrolysis is NOT correct? 
5. The substances in solution in the  electrolyte become ionized. 
6. Ions are electrically charged and are  attracted towards electrodes when a  

potential difference is applied. 

1. Ions may be discharged at the electrodes,  forming bubbles or deposits. 
2. The mass deposited depends upon the  length of time for which currentflows. 
3. The mass of gas set free or metal  deposited is proportional to the square  

of the current. 

48. Which ofthe following statementsisNOT correct? A. The average range of distinct vision for a  normal eye is from the far distance  

(infinity) up to about 25cm in front ofthe  

eye. 

1. Longsighted people have difficulty in  making the eye lens sufficiently powerful  

to the focus on nearby objects. 

1. Shortsighted people cannot  accommodate distant objects. 
2. Longsighted people need diverging  spectacles lenses. 
3. A person with long sight has his eye-ball  too short and the image of an object is  

therefore formed behind the retina. 

49. Which of the following features is NOT a  characteristic of naturalradioactivity? 
50. Radioactivityis a nuclear phenomenon. B. Radioactivity is exhibited only by  elements of mass number greater 206. 
51. The radioactivity of an element is affected  by electric and magnetic fields in the  

surroundings. 

1. The radioactive element is transformed  into a new element. 
2. What is the number of neutrons in the Uranium  isotope 238 X? 

92 

1. 92 
2. 146 
3. 238 
4. 330 
5. 119 
   

Physics 1986 

1. Which of the following represents the correct  precision if the length of a piece ofwire is measured  with a metrerule? 
2. 35 mm 
3. 35.0mm 
4. 35.00mm 
5. 35.01mm 

Force 

0 Extension 

Fig. 1 

Figure 1 is a graph of force against extension for a  spiral spring. The force constant of the spring is  given by the. 

1. Slope of the linear portion of thegraph. B. Length of the linear portion of the graph. C. Area under the linear portion ofthe graph. D. Area under the entiregraph. 
2. A heavy object is suspended from a string and  lowered into water so that it is completely  submerged. The object appears lighter because 
3. The density of water is less than that of  the object. 
4. The pressure is low just below thewater  surface. 
5. It experiences an upthrust. 
6. The tension in the string neutralizes part  of the weight.
   

672 

4. Which of the following is a derived unit? A. Kilogramme B.Metre 
5. Kelvin D. Newton 
6. Two objects, one having three times the mass of  the other, are dropped at the same time from at tall  building. When they are above the ground, the  two objects will have the same 
7. Momentum 
8. Kinetic energy 
9. Potential energy 
10. Acceleration. 

In Fig. 3, the forces F1, F2, F3, acting at O are in  equilibrium. If the magnitude of F1is 10.0N and  , 

the magnitude of F2is 5.0N, find the magnitude of  F3.A. 26.4N B. 15.0N 

13. 13.2N D. 10.0N 
14. When a box of mass 400g is given an initial speed  of 5m s-1, it slides along a horizontal floor a distance  of 3m before coming to rest. What isthe coefficient  of the kinetic friction between the box and the  floor? 

(g = 10m s-2) 

6. Which ofthe following isin a neutral equilibrium? A. A heavy weight suspended on a string. 
7. A cone resting on its slantedge. 
8. A heavy based table lamp. 
10. The beam of a balance in use. 
11. A ball is thrown vertically into the air with an  initial velocity u. What is the greatest height  reached? 
12. U/ g 

2 

1. 3u2/2g 
2. u2/g 
3. u2/ g. 

2 

8. Which of the following assumptions is made in a  simple pendulum experiment? The 
9. 5/ C. 1/ 
11. 5/ 

6 

12 

1. 2/ 

3 

3

W N 

1200N 

1. Suspending string isinextensible 
2. Bob has a finitesize 
3. Bob has a definite mass 
4. Initial angle of oscillation must be large. 

10cm 

Q R P 

10g 

Fig. 2 

A uniform metre rule QR is balanced on a knife  edge which is 55cm from R. when a mass of 10g is  hung at P asshown in Fig. 2, the mass of the metre  rule is 

1. 550g B. 350g 
2. 70g D. 35g 
3. F1

10.0N 

600 

F2 

O 5.0N 

F3Fig. 3 

Figure 4 represents a block-and-tackle pulley  system on which an effort of W Newtons supports  a load of 120.0N. Ifthe efficiencyofthe machine is  400, then the value of Wis 

28. 28.0N B. 48.0 N 
29. 50.0N D. 288.0N 
30. A constant force of magnitude F acts on an object  of mass 0.04kg initially at rest at a point O. Ifthe  speed of the object when it has moved 50m from O  is 500m s-1, what isthe value of F? 
31. 0.4 N B. 100.0 N C. 250.0 N D. 1 000.0N 
32. A rectangular tank contains water to a depth of  2m. ifthe base is 4m x 3m, calculate the force on the  base. 

(Density of water = 103kg m-3, g = 10m s-2)  A. 2.4 x105N B. 2.4 x 104N C. 2.0 x104N D. 1.7 x103 N 

15. A 1000kg elevator is descending vertically with an  acceleration of 1.0ms-2, if the acceleration due to  gravity is 10.0m 5s, the tension in the suspending  cable is 
16. 1.0 N B. 10.0 N C. 9 000.0 N D. 11 000.0N 
    

673 

16. A ball attached to one end of a string moves  anticlockwise around a circle whose centre is O. If  the string suddenly breaks when the ball is at point  P, along which of the following paths willit move? 

F3 

16. A B 
17. Change the state of a unit mass lead at its  melting point. 
18. Change the state of a unit mass of lead at  its boiling point. 
19. Which of the following is common to evaporation  and boiling? They 
20. Take place at any temperature. 
    

C 

O P 

D 

O P

1. Are surface phenomena. 
2. Involve change of state 
3. Take place at a definite pressure. 
4. Mercury is suitable as a barometric fluid because  

O 

P 

O P 

it 

1. Expands uniformity 
2. Is opaque 
3. Is several times denser than water 
   
4. The mode of heat transfer which does not requires  material mediumis 
5. Conduction B. Radiation C. Convection D. Propagation 
6. The expansion of solids can be considered a  disadvantages in the 
7. Balance wheel of a watch 
8. Fitting of wheels onrims 
9. Firealarm 
10. Thermostat. 

100 

© 

1. Is a good conductor of heat 
2. Which of the following properties makes metals  ideal for cooking utensils? 
3. High coefficient ofexpansion 
4. Good conduction of heat 
5. Low specific heat capacity 
6. Poor radiation of heat. 
7. A gas occupies a volume of 300cm3at a  temperature of 270C. What is its volume at 540C,  when the pressure is constant? 
8. 150cm3 B. 273cm3
9. 327cm3 D. 600cm3
10. When two objects P and Q are supplied with the  
    

e r

u t

a r

e

p 

90 80 70 60 

same quantity of heat, the temperature change in  P is observed to be twice that of Q. The mass of P  is half that of Q the ratio of the specific heat  capacity of P to Q is 

1. 1 : 4 B. 4 : 1 
   

m 

e 

T

5 10 

Time (min) 

Fig.5 

1. 1 : 1 D. 2 : 1
2. Which of the following is true of sound? A. Sound travels faster in air at 200Cthat at 300C. B. The frequency of a given sound wave  changes when it crosses the boundary  

In an experiment in which molten naphthalene is  allowed to cool. The cooling curve in Fig. 5 was  obtained. The temperature 800C is known as the A. Cooling temperature 

1. Boiling point 
2. Melting point 
3. Vaporization point 
4. The specific latent heat of fusion of lead is the  amount of heat required to 
5. Melt lead at its melting point 
6. Heat a unit mass of lead through 10C. 

separating twomedia.. 

1. The wavelength of a given sound wave in air  decreases as the temperature increases. D. Sound waves cannot be reflected. 
   

674 

27. 33. A pencil is placed vertically between a concave  mirror and its focal point. The image of the pencil  

in themirror will be 

60o Reflected ray 

1. Real inverted anddiminished B. Virtual, inverted andenlarged C. Real, erect and enlarged. 
   

Incident ray AIR 

Glass 

Refracted Ray 

In Fig. 6, a ray oflight in air strikes a glass plate at  an angle of incidence of 600C. The reflected ray is  observed to be perpendicular to the refracted ray.  What is the refractive index of the glass? 

1. 1.73 B. 1.50 
2. 0.87 D. 0.57. 
3. A lens of focal length 12.0cm forms an upright  image three times the size of a real object. The  distance between the object and the image is 
4. 8.0 cm B. 16.0 cm 
5. 24.0 cm D. 32.0 cm 
6. In which of the following arrangements is the  wavelength in an increasing order? 
7. Gamma rays, infra-red rays, X-rays,  radiowaves. 
8. Gamma rays, X-rays, infra-red rays,  radiowaves. 
9. Radiowaves, X-rays, gamma rays, infra-red  rays. 
10. Infra-red rays, radiowaves, X-rays, gamma  rays. 
11. If the refractive index of glass is 1.5, what is the  critical angle at the air-glassinterface? 
12. sin-1 ½ B. Sin-1 2/3 
13. Sin-1 ¾ D. Sin-1 8/9 
14. A dentist obtains a linear magnification of 4 of a  hole in a tooth by placing a concave mirror at a  distance of 2.0cm from the tooth. The radius of  curvatureof the mirror is 
15. 5.3cm B. 3.2cm 
16. 2.7cm D. 1.6cm. 
17. What is the effect of the increase in the size of the  hole of a pin-hole camera on the image? It 
18. Gives a blurredimage. 
19. Corrects for chromatic aberration 
20. Magnifies the image 
21. Brings the image into the sharper focus. 
22. Virtual, erect and enlarged. 
23. A wave of frequency 10 HZ forms a stationary  wave pattern in a medium where the velocity is  20cm s-1. the distance between adjacent nodes is A. 1.0cm B. 1.5cm 
24. 2.0cm D. 5.0cm 
25. 35. 

Fig. 7 

In Fig. 7, a resonance tube experiment is performed  using one turning fork. As the water level is  lowered the first resonance is obtained when the  length of the air column l = ë/4. The second  resonance is obtained when l equals 

1. /2 
2. 3 /4
4. 3 /2.
5. Which of the following is true of the loudness of  sound? It 
6. Depends on the square of the amplitude of  the vibrating body. 
7. Is proportional to the distance of the observer  from the source of the sound. 
8. Is greatest in vacuum 
9. Is independent of frequency. 
10. A man clapping his hands at regular intervals  observes that the echo of a clap coincides with  the next clap. If the reflecting cliff is 160m away  and the speed of sound is 320m s-1, what is the  frequency of the clapping? 
11. IHz B. 2Hz 
12. 4Hz D. 8Hz.
    

675 

38. The vibration of an air column producesthe sound  in the 
39. Piano B. Guitar 
40. Flute 
41. School handbell. 

5

5 

20 

E 

Fig. 8. 

In Fig. 8, E is an accumulator with negligible internal  resistance. Ifthe e.m.f. is 9.0V, then the total current  is 

1. 0.3A B. 0.8A 
2. 1.0A D. 1.8A 

R 

41. Which of the following if NOT a part of the a.d.c.  electric motor? 
42. Field-magnet 
43. Armature 
44. Commutator 
45. Transfomer. 
46. Which ofthe following isstored by a dryLeclanche  cell? 
47. Electrical power 
48. Kinetic energy 
49. Electric current 
50. Chemical energy. 
51. Which of the following arrangements will produce  an equivalent resistance of 1.5Ù from three 1Ù  resistors? 

1 1 1 

1 1

1

1

1

1

1

1

40. 40. 

3 2A 

A 

6

12V 

Fig. 6. 

44. Which of the following is true of magnetism? A. Iron fillings cling mainly round the ends  of a barmagnet. 
45. The freely suspended bar magnet comes  to rest in the geographic north-south  

direction. 

1. Like poles attract. 
2. Lodestone is a non-magneticoxide. 
3. The angle between the magnetic meridian and the  geographic meridian at a locality on the earth is  the 
4. Longitude of the locality. 
5. Angle ofinclination at the locality 
6. Latitude of thelocality 
   

In Fig. 9, the valueof R is D. Angle of declination of the locality. 

46. 3 Ohms 46. The sign of the charge on a charged glass rod may B. 4 Ohms be determined with 
47. 5 Ohms A. A charged electroscope D. 6 Ohms B. An uncharged electroscope C. A galvanometer 
48. An electrometer. 

676 

47. The diagrams below depict the current inducedin  a coil as a result of the relative motion between it  and a bar magnet. Which ofthe diagrams illustrates  the direction of the induced current? 

N S 

N S 

N S 

N S 

48. Ifthe inclination at Ibadan is 700S, this meansthat A. The angle between the geographic meridian  and the magnetic meridian at Ibadan is 70
49. The earth’s resultant magnetic intensity at  Ibadan makes angle 70 with the horizontal  direction 
50. A magnetic needle will be inclined at 70to the  vertical at Ibadan. 
51. The north pole of a magnetic needle dips  downwards at Ibadan. 
52. The wavelength of ultraviolet radiation is400nm.  If the speed of light in air is 3 x 108m s-1, then the  frequency of the ultraviolet radiation is 
53. 1.3x 10-15Hz B. 7.5x 105Hz C. 1.2x 1011Hz D. 7.5x 1014Hz. 
54. Which of the following is most strongly deflected  by a magneticfield? 
55. gammarays 
56. alphaparticles 
57. beta-particles 
58. X-rays. 
    

Physics 1987 

1. Which of the following units is equivalent to kg  
   

ms-1? 

1. Ns-1 B. Nms 
2. Ns D. Js-1
3. A man walks 8km north and then 5kmin a direction  600east of north. Find the distance from hisstarting  point. 

A.11.36km B.12.36km 

C.13.00km D14.36km. 

4. 8 

) 

1 

–

s 

6 

m 

(

Y 

4 

T 

I

C 

2 

O 

L 

E 

0 

V 

1.0 2.0 3.0 4.0 Q  

TIME (s) 

The velocity – time graph above describes the  motion of a particle between two points P and Q.  What is the distance between P and Q? 

17. 17.0m B. 18.0m 
18. 22.5m D. 30.0m 
19. A jet engine develops a thrust of 270Ns when the  velocity of the exhaust gases relative to the engine  is 300m s-1. What isthe mass ofthe material ejected  per second? 
20. 81.00kg B. 9.00 kg 
21. 0.90 kg D. 0.09 kg 

5.

677 

9. A body rolls down a slope from a height of 100m. 
10. Its velocity at the foot of the slope 20ms-1. What percentage of its initial potential energy is 

converted into kinetic energy? 

1. 40% B. 35% 
2. 20% D. 15% 

(g = 10ms-2) 

M1 

10 [g= 10 ms-1] 

M2 

Fig. 1 

Figure 1 above shows two connected bodies of  masses m1and m2in equilibrium under gravity.The  tension in the upper string is 

1. (m –m )g B. m g 

1 2 1 

1. m2g D. (m1 + m2)g. 
2. An elevator of mass 4800kg issupported bya cable  which can safely withstand a maximum tension of  

Q1 

Water with hig  

h

Kinetic energy 

Q2 

Water with low  

Kinetic energy 

E 

Electrical Energy 

Fig. 3. 

60 000N. the maximum upward acceleration the  elevator can have is 

2. 2.5m s-2 B. 5.0m s-2
3. 7.5m s-2 D. 10.0ms-2 (g = 10m s-2) 

10m 

Fig. 2. 

A 50.0kg block is dropped on a string from a point  10m above (Fig. 2). If the force constant of the  spring is 4.0 x 104 Nm-1, find the maximum  compression of the spring. 

1. 1.25m B. 0.50m 
2. 0.25m D. 0.05 m  

(g = 10ms-2) 

8. A constant force of 40N acting on a body initially  at rest gives an acceleration of 0.1ms-2for 4s.  Calculate the work done by the force. 
9. 8 J B. 10 J 
10. 32 J D. 160J 

Figure 3 above represents the main sequence of  energy conversion at Kainji dam. The efficiency  of the system is 

1. Q1 .

Q2 

1. E .

Q1 

1. E .

(Q1 – Q2) 

1. E .

(Q1 + Q2) 

11. The coefficient os static friction between a 40kg  crate and a concrete surface is 0.25. Find the  magnitude of the minimum force needed to keep  the crate stationary on the concrete base inclined  at 450to the horizontal.[g = 10ms-2] 
12. 400N B. 300N 
13. 283N D. 212N 
14. If a beaker is filled with water, it is observed that  the surface of the water is not horizontal at the  glass-water interface. This behaviour is due to A. Friction B. Viscosity C. Surface tension D. Evaporation. 
15. The mechanical advantage (MA) of an inclined  plane depends on 
16. Its length 
17. Its height] 
18. The product of its length and height D. The ratio of its length and itsheight. 
    

678 

14. A load of5N gives an extension of0.56cmin a wire  which obeys Hooke’s law. What is the extension  caused by a load of 20N? 
15. 1.12cm B. 2.14cm 
16. 2.24cm D. 2.52cm. 
17. A cube of side 10cm and mass 0.5kg floats in a 

I III P diagramP 

liquid with only 1/ of its height above the liquid V V 5 

surface. What is the relative density of the liquid? A. 0.125 B. 0.250 

1. 0.625 D. 2.500. 
2. The distance between the fixed points of centigrade  thermometer is 20cm. What isthe temperature when  the mercury level is 4.5cm above the lower mark? 

II IV P P 

V V 

22. 22.50C B. 29.00C A. I, II B. II, III C. 90.00C D. 100.00C C. II, IV D. III, IV
    
23. A metallic strip ofiron and brass was heated. Which  ofthe following diagrams accurately illustrates the  shape of the strip after heating? 

Brass 

21. Hot water is added to three times its mass of water  at 100C and the resulting temperature is 200C. What  isthe initial temperature ofthe hot water? 
22. 22,000J of heat is required to raise the temperature  of1.5kg of paraffin from 200C. Calculate the specific  
    

dagram 

Iron 

Iron 

Brass 

heat capacity ofparaffin. 

1. 1000C B. 800C A. 1466J kg-10C-1
2. 500C D. 400C B. 2933J kg-10C-1
3. 4400J kg-10C-1
   

Brass 

Iron 

Iron 

Brass 

1. 5866J kg-10C-1
2. Calculate the amount of heat required to convert  2kg of ice at –20C to water at 0 0C. (Specific heat  capacity of ice = 2090J kg-1 0C-1, specific latent heat  of fusion = 333kJkg-1). 
   
3. The length of a side of a metallic cube at 200Cis  5.0cm. Given that the linear expansivity of the  metal is 4.0 x 10-5 k-1Find the volume of the cube  at 1200C. 
4. 126.50 cm3 B. 126.25 cm3 C. 126.00 cm3 D. 125.00 cm3
5. As a result of air at the top of a barometer, the  height of the mercury column is 73.5cm when it  should be 75.0cm; the volume of the space above  the mercury is 8.0 cm3 Calculate the correct  barometric height when the barometer reads 74.0cm  and the volume of the space above the mercuryis 

6.0 cm3. 

72. 72.0cm B. 74.5cm 
73. 75.1cm D. 76.0cm 
74. A fixed quantity of gas is subjected to various  pressures P and the corresponding volumes V  measured at a constant temperature. Which ofthe  following graphs best represent the results? 
75. 666J B. 8 360J  C. 666000J D. 674360J. 
76. In which of the following are the substances  arranged in descending order of their thermal  conductivities? 
77. Copper, steel, glass 
78. Steel, copper, glass 
79. Steel, glass, copper 
80. Copper, glass,steel. 
81. The vacuum in the Thermos flask helps toreduce  heat transfer by 
82. Convection and radiation 
83. Convection and conduction 
84. Conduction and radiation 
85. Radiation only. 
86. Which of the following phenomena explains the  fact that a house whose roof is coated with white 
    

679 

paint will be cooler in the hot season than one  coated with black paint? 

of water is 1.33. what is the actual depth of the  pool? 

1. Conduction B. Convection A. 0.75 m B. 1.013 m C. Refraction D. Reflection. C. 1.330 m D. 13,3000 m 
   
2. A wave has a frequency of 2 Hz and a wavelength  of 30cm. The velocity of the wave is 
3. 60.0ms-1 B. 6.0m s-1 C. 1.5m s-1 D. 0.6m s-1
4. A ray of light is incident at an angle of 300 on one  top surface of a parallel-sided glass block of  refractive index 1.5. The ray finally emerges from  the lower surface. What is the angular deviation  of the emergentray? 
   
5. A boat at anchor is rocked by waves whose crests A. 600 B. 390
   

are 100m apart and whose velocity is 25m s-1. At what interval does the wave crest reach the boat? 

1. 280 D. 00
   

Which tone? 

2,500.00s 

4.00s 

of the following 

instruments 

75.00s 

0.25s 

has a pure 

37. Four lenses are being considered for use as a  microscope objective. Which of the following focal  lengths is most suitable? 
38. -5mm B. +5mm 
39. –5cm D. +5cm 
    
40. Guitar 
    
41. C. D. 

Vibrating string  Turning fork Siren. 

38. If the angle of declination in a place is 100E,  calculate the true geographic bearing if the compass reads N400E. 
    
40. The lowest note emitted by a stretched string has 

a frequency of 40 Hz. How many overtones are 

there between 40 hZ and 150 Hz? 

1. 1 B. 2 
2. 3 D. 4. 

N500E N300E 

4 

N400E N250E 

P 

31. When the length I of a piece ofwire under constant  39

tension is varied, the relationship of the frequency  

of vibration f with l is 

1. f & l B. f & 1/2

1 Q 

l 

1. f & l D. f &1/ l 
   
2. Which of the following statements supports the  assumption that light travels in straightlines? A. Light can bediffracted 
3. A source of light produces distinct  shadows of opaque objects 
4. A source of light produces interference  patterns on a suitably placed screens. 
5. Light can be reflected. 
6. If an object is placed in front oftwomirrorsinclined  at 900, howmanyimages will be formed? 
7. Five B. Four 
8. Three D. Two. 
9. An object 3.0cm high is placed 60.0cm from a  converging lens whose focal length is 20.0cm.  Calculate the size ofthe image formed. 
10. 0.5cm B. 1.5cm 
11. 2.0cm D. 6.0cm 
12. A pool of water appears to be 1.0m deep when  viewed vertically from above. Ifthe refractive index 

4 

Fig. 4. 

In Fig. 4 above, a voltage V is applied across the  terminals P and Q. the voltage across the 1 resistor  is 

1. V . B V  

8 4 

1. V . D V

3 2 

40. Two capacitances of 6uF and 8 uF are connected  in series. What additional capacitance must be  connected in series with this combination to give  a total of 3 uF? 
41. 3 uF B. 16 uF 
42. 24 uF D. 30 uF. 
    

680 

41. 46. A galvanometer of resistance 20 isto be provided 41. M N with a shunt that 1/ of the whole current in a 10 

circuit passes through the galvanometer. The  

resistance of the shunt is 

2. 2.00 B. 2.22 
3. 18.00 D. 18.22 
   

P– 

Fig. 5 

In Fig. 5 above, M and N are insulated metal  spheres in contact. A negatively charged ebonite  rod P is brought near M. when M and N are separated and the rod is taken away, which of the  following statements is CORRECT? 

1. Both M and N have acquired negative  charges 
2. Both M and N have acquired positive  charges 
3. M has acquired negative charge and N  positive charge 
4. M has acquired positive charge and N  negative charge. 
5. When a transformer has more secondarywindings  than primary winding, it 
6. Has a smaller seconder current 
7. Has a greater power output 
8. Is a step-down transformer 
9. Increases the total energy output. 
10. A current of 0.5A flows through a resistor when  connected to a 40-V battery. How much energy is  dissipated in 2minutes? 
11. 1 200J B. 1 500J 
12. 2 400J D. 96 000J. 
13. The direction ofthe magnetic field at a point in the  vicinity of a bar magnetis 
14. Always towards the north pole of the  magnet 
15. Always away from the south pole of the  magnet 
16. Along the line joining the point to the  neutral point 
17. In the direction the north pole of a  compass needle would point. 
18. When two parallel wires carry currents in opposite  directions, the force on either wire is 
19. Awayfrom the other wire 
20. Zero, because the currents cancel each  other 
21. Twice as much as when the currents are  in the samedirection 
22. Towards the other wire. 
23. What type of reaction is represented by the  following scheme? 

2 X + 2 Y 3 Z + 1 n + energy 

1 1 3 0 

1. Fusion reaction 
2. Fission reaction 
3. Chain reaction 
4. Radioactivite decay. 
5. Which of the following statements is TRUE of  photoelectric effect? 
6. It cannot occur in liquids 
7. The energy of the emitted electron is  independent of the work function of the  

surface 

1. The energy of the emitted electron  depends on the wavelength of the  

incident light 

1. The greater the intensity of the incident,  the greater the energy of the emitted  

electron. 

49. Isotopes are nuclei which have 
50. The same number of neutrons and  electrons 
51. Equal number of electrons and protons C. The same atomic number but different  number of neutrons 
52. The same number oftotal particles. 
53. A radioactive sample initially contains N atoms.  After three half-lives the number of atoms that have  disintegrated is 
54. N

8 

1. 3N

8 

1. 5N

8 

1. 7N

8 

681 

Physics 1988 

1. Which of the following diagrams correctly represents the relationship between the time (T) 1. of swing of a simple pendulum and its length (l)? 
2. Which of the following are the correct SI units of  the quantities indicated? 

I N (Force) 

1. Nm-1(Torque) 

III Watt (power) 

IV kg ms-2(Momentum). 

1. I and IIonly 
2. I. II and IIIonly 
3. I, II and IVonly 
4. I and IIIonly. 
5. A lorry travels 10km northwards, 4km eastwards,  6km southwards and 4km westwards to arrive at a  point T. What is the total displacement? 
6. 6km south B. 4kmnorth C. 6kmnorth D. 4kmeast. 
7. Two forces whose resultant is 100N, are at right  anglesto each other. If one ofthem makes an angle  of 300 with the resultant, determine its magnitude.  A. 8.66N B. 50.0N 
8. 57.7N D. 86.6N 
9. Which of the following quantities are scalars?  I Electrical potential 

II Torque 

III Momentum 

IV Kinetic energy 

1. II and IIIonly 
2. I and Iionly 
3. III and Iv only 
4. I and Iv only. 
5. A particle starts from rest and moves with a constant  acceleration of 0.5m s-2. The distance covered by  the particle in 10sis 
6. 2.5m B. 5.0m 
7. 25.0m D. 50.0m 
8. When taking a penalty kick, a footballer applies a  force of 30.0N for a period of 0.05s. If the mass of  the ball is 0.075kg, calculate the speed with which  the ball movesoff. 
9. 4.50m s-1 B. 11.25m s-1 C. 20.00m s-1 D. 45.00m s-1
10. A 20-toothed gear wheel drives a 60-toothed one,  ifthe angular speed ofthe smaller wheel is 120 rev  s-1, the angular speed of the wheel is 
11. 3 rev s-1 B. 40 rev s-1 C. 360 rev s –1 D. 2 400 rev s-1
12. 99. 

x(m) 3 

1 

2 

f(s) 

The figure above show the displacement – time  graphs for three different motions. Which of the  following statements is correct? 

1. Graph 2 corresponds to the highest  velocity 
2. Graph 1 corresponds to zero velocity C. Graph 3 correspondsto a particle moving  in the negative x direction. 
3. Graph 2 correspondsto a particle moving  in the positive xdirections. 

y 

x 

z

682 

The figures above show three different ways of  hanging a heavy picture from a hook. The tension  in the string would be 

1. Greatest in X 
2. Greatest in Y 
3. Greatest in Z 
4. Same in each one. 
5. Howlong will it take a 60kg man to climb a height  of22m ifhe expended energy at the rate of0.25kW? A. 5.3s 
6. 34.5s 

15.15. 

13.4cm 

To gas  

supply 

3.5cm 

diagra 

m 

41. 41.6s 
42. 52.8s 

[g = I0ms-2] 

12. A force, 10N, drags a mass 10kg on a  horizontal table with an acceleration of  0.2m s-2. If the acceleration due to gravity  is 10m s-2, the coefficient of friction  between the moving mass and the table  is 

When one arm of a U-tube manometer is connected  to a gas supply, the levels of mercury in the two  arms of the U-tube are as shown in the diagram  above. If the atmospheric pressure is 76.0cm Hg, 

the gas pressure is 

62. 62.6cmHg B. 72.5cm Hg C. 79.5cmHg D. 85.9cm hg 
63. The product PV where P is pressure and V is  volume has the same unit as 
    
64. 0.02 B. 0.08 A. Force B. Power C. 0.20 D. 0.80 C. Energy D. Acceleration 
    
65. Which of the following graphs correctly describes  the variation of the mechanical advantage with  load for a simple machine whose velocity ratio is  3? 

MA MA 

Load Load 

MA MA 

17. The amount of heat needed to raise the temperature  of 10kg of copper by1K is its 
18. Specific heat capacity 
19. Heat capacity 
20. Latent heat 
21. Internal heat. 
22. A tap supplies water at 250C while another supplies  water at 750C. If a man wishes to bathe withwater  at 40C, the ratio of the mass of cold water to the  mass of hot water required is 
23. 1 : 3 B. 15 : 8 
24. 7 : 3 D. 3 : 1 
25. Which of the following graphs clearly illustrates  the temperature change which takes place as a  piece of ice at – 100C is heated slowly? 
26.  

Load Load 

14. A body whose mass is 2kg and has a volume of  500cm just floats when completely immersed in a  liquid. Calculate the density of the liquid. 
15. 4.0x 102kgm-3
16. 4.0x 103kgm-3
17. 1.0x 103kgm-3
18. 1.0x 106kgm-3

ToC 

0 t(min) ToC 

0 t(min) 

ToC 

0 t(min)ToC 

0 t(min) 

683 

20. When heat is applied to one end of a metal rod, the  molecules at the other end soon begin to vibrate  with greater amplitude than before because heat  has been transfer by 
21. Radiation B. Convection C. Conduction D. Evaporation. 
22. Which of the following media allow the  transmission of sound waves through them? 

I Air 

II Liquids 

III Solids 

1. I and II only 
2. I and III only 
3. II and III only 
4. I, II andIII. 

X 

Y

The diagram above shows two waveforms X and Y.If the frequency is 30 HZ, what isthe frequency  ofY? 

1. 12Hz B. 19Hz 
2. 60Hz D. 75Hz 
3. Which of the following properties is/are common  to all waves? 

I Diffraction 

II refraction 

III Interference 

1. I only B. III only 
2. I and III only D. I, II andIII. 
3. A piano wire 0.5m long has a total mass of 0.01kg  and is stretched with a tension of 800N. Calculate  the frequency of the wire when it sounds its  fundamental note. 
4. 200 Hz B. 100 Hz 
5. 4 Hz D. 2 Hz. 
6. A note is called an octave of another note when A. Its frequency is twice that of the first note B. Its frequency is half that of the first note C. The notes have the same fundamental  frequency 
7. Its periodic time istwice that of the first note. 
8. Which of the following factors affects the speed  of sound in air? 

I Temperature 

II Pressure 

III Frequency. 

1. I only B. II only 
2. I and II only D. II and IIIonly. 
3. The speed of sound in air at sea-level is 340m s-1 while that oflight is 300,000km s-1. Howfar (to the  nearest metre) from the center of thunderstorm is  an observer who hears a thunder 2s after a  lightning flash? 
4. 170m B. 340m 
5. 600m D. 680m. 
6. A slight loading of a turning fork has the effect of A. Decreasing its amplitude 
7. Increasing its amplitude 
8. Decreasing its frequency 
9. Increasing its frequency 
10. Two strings of the same length and under the same  tension give notes of frequencies in the ratio 4 : 1.  The masses of the strings are in the corresponding  ratio of 
11. 2 : 1 B. 1 :2 
12. 1 ; 4 D. 1 :16 
13. To obtain a magnification of 2.5, how far should an  object be placed from the pole of a thin converging  lens offocal length 10.20m? 
14. 0.13m B. 0.25m 
15. 0.28m D. 0.50m 

M1 

60o 

diagram 

M2 

684 

In the figure above, what isthe angle ofreflection  ofthe ray oflight at mirror M2? 

opaque object when viewed through the  arrangement of the filters above is 

1. 900 B. 600 A. Yellow B. Red C. 450 D. 300 C. Black D. Blue 
   
2. An object is place 10 cm in front of a concave  mirror of focal length 15cm. What is the positive  and nature of the image formed? 
3. 30cm and virtual 
4. 6cm and real 
5. 6cm and virtual 
6. 30cm and real. 
7. Which of the following phenomena explain the  formation of amirage 

I Reflection 

III Refraction 

III Diffraction 

3 

Magnetic 

2 

-X 1 4

north 

1. I and IIonly 
2. II and IIIonly 
3. I and IIIonly 
4. I, II andIII. 
5. When white light is dispersed by a spectrometer,  the component having the shortest wavelength is A. Orange B. Green 
6. Violet D. Red. 
7. Which of the following statementsis TRUE of ultra violet, visibleand infra-red rays? 
8. They are all electromagnetic waveswith  the same wavelength. 
9. Ultra-violet rays have shorter wvelenghts  than infra-red rays and produce  

fluorescence. 

1. Infra-red rays have shorter wavelength  than visible light and produce the  

sensation of heat. 

1. The wavelengths increase in the  sequence: visible, ultra-violet, infra-red. 

White 

object 

E F G 

E, F and G are yellow, red and cyan transparent  light filters respectively. The colour of a white 

The wire X in the figure above is at right angles to  the plane of the paper and carries a current into  the paper. At which of the point labeled 1 – 4 will  the magnetic flux density due to this current be in  the same direction as that of the horizontal  component of the earth’s magnetic field? 

1. 1 B. 2 
2. 3 D. 4. 
3. A spectrum of sunlight is said to be impure when A. It is made of only threecolours 
4. It has no red colour in it 
5. The different colours in itoverlap 
6. It does not contain white light. 
7. A cell of internal resistance 2 ohms supplies  current to a 6-ohm resistor. The efficiency of the  cell is 
8. 12.0% 
9. 25.0% 
10. 33.3% 
11. 75.0% 
12. When a resistance R is across a cell, the voltage  across the terminals of the cell is reduced to two thirds of its nominal value. The internal resistance  of the cell is 
13. 1 R

3 

1. 1 R

2 

1. 2 R

3 

1. R 
   

685 

41R X 

A 

E

In the circuit above, the ammeter reads a current of  3 amps. When Ris 5 ohms and reads 6 amps when  R is 2 ohms. The value of the unknown resistance  X is 

1. 1 B. 2 
2. 3 D. 4 
3. Which of the following combinations of 2 ìF  capacitors will give an effective capacitance of 3  ìF acrossterminal XY? 
4. A household refrigerator is rated 200 watts. If  electricity costs 5k per kWh, what is the cost of  operating it fo 20 days? 
5. N 4:80 B. N 48:00 C. N 480:00 D N 4 800:00 
6. Which of the following instruments consumesthe  highest current? 

Voltage Power 

Instrument Rating Rating 

1. Electric iron 250V 1kW B. Television set 220V 110W C. Torch light 6V 30W D. Immersion 

heater 110V 500W 

45. Which of the following ammeters may be used to  measures alternating current? 

I Moving-coil ammeter 

II Moving-iron ammeter 

III Hot-wireammeter. 

1. I and IIonly 
2. II and IIIonly 
3. I and IIIonly 
4. I, II andIII. 
5. The principle of operation of an induction coil is  based on 
6. Ohm’slaw 
7. Ampere’s law 
8. Faraday’slaw 
9. Coulomb’slaw. 
10. A dynamo primarily converts 
11. Mechanical energy into electrical energy B. Electrical energy into kinetic energy C. Potential energy into kinetic energy D. Kinetic energy into potential energy. 
12. In a certain fusion reaction, a deuteron (2 H)  1 

interacts with a triton (3 H) and produces an á 1 

particle (4 He) and a second product. The second  2 

product is 

1. A proton B. An electron C. A neutron D. A gamma ray. 
2. Which of the following symbolic representations  is correct for an atom X with 22 electrons and 43  neutrons? 
3. 4 3 X 

2 2 

1. 2 2 X 

4 3 

1. 6 5 X 

4 2 

1. 6 5 X 

2 2 

. 

A particle is injected perpendicularly into an  electric field. It travels along a curved path as  depicted in the figure above. The particle is 

1. A gamma ray B. An electron C. A neutron D. A proton. 
   

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Physics 1989 

1. Which of the following is a set of vectors? 
2. Force, mass and moment 6. B. Acceleration, velocity andmoment 
3. Mass, weight and density 
4. Mass, volume and density 
5. The magnitude of the resultant of two mutually  perpendicular forces, F1 and F2 is 13N. If the  

magnitude of F1 is 5N, what is the magnitude of  

F2? 

2. 2.6 N B. 8.0 N 
3. 12.0 N D. 18.0 N 
4. Two points on a velocity-time graph have co ordinates (5s, 10m s-1) and (20s, 20m s-1). Calculate  the mean acceleration n between the two points.  
5. 0.67ms-1 B. 0.83ms-2
6. 1.50ms-2 D. 2.00ms-2

4.7. diagram 

q r 

p s 

The figure above shows a uniform circularobject,  centre Rand diameter PS. Acircular section, centre  Q and diameter PRis cut away from it. If PQRS is a  straight line, where is the centre of gravity of the  figure? 

1. Q B. R 
2. A point between P and R 
3. A point between R and S. 

A simple pendulum of mass m moves along an arc  of a circle radius R in a vertical plane as shown in  the figure above. What is the work done by gravity  in a downward swing through the angle Qto 00? 

1. mgRsinQ 
2. mgR(1 – cosQ 
3. mgR 
4. mgR(1 -sin Q) 

A block of mass m is held in equilibrium against a  vertical wall by a horizontal force. If the coefficient  of friction between the block and the wall is u, the  minimum value ofthe horizontal force is 

1. umg 
2. (1 – u)mg 
3. (1 + u)mg 
4. mg

u 

5. Which of the following graphs representsmotion  with uniform velocity? 
6. A thin film of liquid is trapped between two glass  plates. The force required to pull the plates apart  will increase ifthe 
7. Surface tension of the liquid is reduced B. Perpendicular distance between the  plates is increased. 
8. Area of the liquid surface in contact with  the plates is increased 
9. Pressure of the air is decreased.
   

687 

9. A block-and-tackle system is used to lift a load of  20N through a vertical height of 10cm. If the  efficiencyof the system is 40%, how much work is  done against friction? 
10. 80J B. 120J 
11. 300J D. 500J 

In the figure above, W1 = 200g and W2 = 450g.  Calculate the extension ofthe spring per unit load.  [g = 10ms-2] 

6. 6.0x 10-5mN-1
7. 2.5x 10-4mN-1
8. 6.0x 10-4mN-1
9. 2.5x 10-2mN-1
10. Which ofthe following devices are used tomeasure  pressure? 

I Aneroid barometer 

II Hydrometer 

III Hygrometer 

IV Manometer. 

1. I and III B. II andIII C. III and IV D. I andIV. 
2. A piece of wood of mass 40g and uniform cross sectional area of 2cm2floats upright in water. The  length of the wood immersedis 
3. 80cm B. 40cm 
4. 20cm D. 2cm 
5. The pressure on the gas of constant gas  thermometer at the ice point is 325mm of mercury  and at the steam point 875mm of mercury. Find the  temperature when the pressure ofthe gas is 190mm  of mercury. 
6. 30k 
7. 243k 
8. 37.0cm 
9. A mass of gas at 70C and 70cm of mercury has a  volume of 1200cm3. Determine its volume at270C  and pressure of 75cm of mercury. 
10. 1 200 cm3
11. 1 378 cm3
12. 4 320 cm3
13. 4 629 cm3
14. An electric heater is used to melt a block of ice,  mass 1.5kg. If the heater is powered by a 12V  battery and a current of 20A flows through the  coil, calculate the time taken to met the block ofice  at 00C. (Specific latent heat offusion ofice = 336 x  103J kg-1). 
15. 76.0min 
16. 35.0min 
17. 21.0min 
18. 2.9min. 
19. From the kinetic theory of gases, temperature is a 
20. Form of energy and is proportional to the total  kinetic energy of the molecules. 
21. Form of energy and is proportional to the  average kinetic energy of themolecules. 
22. Physical property and is proportional to the  total kinetic energy ofthe molecules. 
23. Physical property and is proportional to the  average energy of themolecules. 
24. Which of the following correctly represents the  variation of the saturated vapour pressure of water  with temperature? 
    
25. 300k 19. A vibrator of frequency 60 Hz is used in 
    
26. 303k 
27. A column of air 10.0cmlong istrapped in a tube at  270C. What is the length of the volume at 1000C? 
28. 12.4cm 
29. 13.7cm 
30. 18.5cm 

generating transverse stationary waves in a long thin  wire. If the average distance between successive nodes  on the wire is 45cm, find the speed of the transverse  waves in the wire. 

1. 27ms-1 B. 54ms-1 C. 90ms-1 D. 108ms-1
   

688 

The air column as shown in the figure above is set  into vibration by the turning fork. In this state of  resonance, the waves in the air column will be A. Stationary and transverse 

1. Stationary and longitudinal 
2. Progressive and transverse 
3. Progressive and longitudinal. 
4. When the tension in a sonometer wire isdoubled,  the waves in the air column will be 
5. B. ½ 

1/ 2 

1. D. 2 

2 

22. In a sound wave in air, the adjacent rarefactions  and compressions are separated by a distance of  17cm. If the velocity of the sound wave is 340ms-1,  determine the frequency. 
23. 10 Hz B. 20 Hz 
24. 1 000Hz D. 5780 Hz 
25. In which of the following diagrams is the length of  the tube equal to one wavelength? 
26. An object is placed 5.6 x 10-4m in front of a  converging lens of focal length 1.0 x 10-8m. The  image formedis 
27. Real, erect and magnified 
28. Virtual, erect and magnified 
29. Real, inverted andmagnified 
30. Virtual, erect anddiminished. 
31. The magnification of the image of an object placed  in front of a convex mirror is 1/ . If the radius of  3 

curvature ofthe mirror is 24cm, what isthe distance  between the object and its image? 

1. 8 cm B. 16cm 
2. 24cm D. 32cm 
3. The plane mirrors in a kaleidoscope are usually  placed 
4. At an angle of600
5. Parallel to oneanother 
6. Perpendicular to one another 
7. At n angle of450
8. A far sighted person cannot see objects that are  less than 100cm away. If this person wants to read  a book at 25cm, what type and focal length of lens  does he need? 
9. Convex, 20cm 
10. Concave, 20cm 
11. Convex, 33cm 
12. Concave, 33cm. 
13. When a yellow card is observed through a blues  glass, the cord would appear 
14. Black B. Green 
15. Red D. White 
16. Dispersion of light by a glass prism is due to the 
    
17. 24. 

diagram 

Light of wavelength 5000 x 10-8cm travelsin free 

1. Different hidden colours of the glass B. Different speeds of the various colours  in glass 
2. Defects in the glass 
3. High density of glass. 
4. Which of the following pairs is NOT part of the  electromagnetic spectrum? 

I Radio waves 

II Beta rays 

III Gamma rays 

IV Alpha rays 

space with a velocity of 3 x 108m s-1. What is its  wavelength in glass of refractive index 1.5? A. 3333×10-8cm 

1. 5000×10-8cm 
2. 6666×10-8cm 
3. 7500×10-8cm 
4. I and II B. III andIV C. I and III D. II and IV. 
5. Two insulated charged spheres of different sizes  and carrying opposite charges are connected  together by a metallic conductor. Current will flow  from one sphere to the other until both spheres
   

689 

1. Carrythe same magnitude and sign of charge. 
3. Are at the samepotential. 
4. Are at the same temperature. 
5. Are ofthe same size. 
6. When a number of identical small magnets are  arranged in a line, the strength of the resultant  magnet 
7. Is largest when they are arranged end to  end 
8. Is greatest when they are arranged  parallel with like poles adjacent to each  

other. 

1. Depends only on the number of magnets  provided they areparallel. 
2. Is greater when the magnets are arranged  on a wooden surface than on a metal 

surface. 

34. A bar magnet is most effectively demagnetized by A. Placing it in a N – 5 position and hitting it with  

a hammer. 

1. Subjecting it to an electric current from a  

battery 

In the above circuit diagrams, A is the ammeter  and V the voltmeter. Which ofthe circuitsis correct  for finding the value of the resistance R? A. I B. II 

1. III D. IV. 
   
2. Bringing its north pole in contact with the north pole of a very strong magnet 
3. Heating the magnet. 
4. The resistance of a 5m uniform wire of cross sectional area 0.2 x 10-6m2is 0.425. What is the  

resistivity of the material of the wire? 

1. 1.10 x 10-6Ohms m 
2. 4.25 x 10-6Ohms m 
3. 2.40 x 10-7Ohms m 
4. 1.70x 10-8Ohmsm 
5. Three resistors, with substances 250Ohms  500Ohms and 1 kOhms are connected in series. A  6V battery is connected to either end of the  combination. Calculate the potential difference  between the ends of the 250Ohms resistor. 
6. 0.20V B. 0.86V 
7. 1.71V D. 3.43V. 
8. A calibrated potentiometer is used to measure the e.m.f. of a cell because the 
9. Internal resistance of a cell is small compared  with that of thepotentiometer. 
10. Potentiometer has a linearscale. 
11. Potentiometer takes no current from the cell D. Resistance of the potentiometer is less than  that of avoltmeter. 

Three 2 – u F capacitors are arranged as shown in  the above circuit. The effective capacitance  between E and F is 

1. 0.75 uF 
2. 1.33 uF 
3. 3.00 uF 
4. 6.00 uF 
5. The function of a 5-A fuse included in a circuit  supplying a household refrigerator with power is  to keep the 
6. Temperature of the refrigerator low and  constant. 
7. Current supplied to the refrigerator  below 5A. 
8. Voltage supply constant 
9. Current supplies to the refrigerator  constant and above 5A. 

4

4

690 

The total power drawn from the cell in the circuit  diagram above is 

1. 12W B. 24W 
2. 32W D. 40W
3. Settle in anydirection 
4. Settle in a fixed direction only if  conductor PQ is a magnetic material 
5. Settle in a fixed direction whether  conductor PQ is a magnetic material or  

not 

1. Be stationary. 
2. A radioactive substance has a half-life of 2 years.  If the initial mass is 40g, which of the following  rows correctly gives the mass of substance left at  the times stated? 

2Years 3year 4Years 5Years 

A  

20g 

	10g
20g	10g
20g	15g

42. Which of the following correctly represents the  relationship between the temperature rise è and  the current l in and experiment to illustrate the  beating effect of the electric current? 
43. An ammeter of resistance 0.1 ohms has a full 

B  

C  

D 

30g 0g 30g 

20g 10g 0g 

When a radiation strikes a metal surface, electrons  maybe ejected from the metal. The maximumkinetic  energy which may be acquired by an ejected  electron depends on the 

1. Intensity of the radiation 
2. Source of the radiation 
3. Wavelength of the radiation 
4. Detection device for the electron. 

Which of the following is TRUE of the particles  emitted in radioactive disintegration? 

1. The alpha particle is the helium nucleus 
   

H 

3 

2 

scale deflection of 50 mA. Determine the  

resultant full-scale deflection of the meter when  

a shunt of 0.0111Ohms is connected across its  

terminals. 

1. 400mA B. 450mA 
2. 500mA D. 550mA. 
4. The electrochemical equivalent ofsilver is 0.0012g/ C. If 36.0g ofsilver is to be deposited byelectrolysis  on a surface by passing a steady current for 5.0  minutes, the current must be 
5. 6 000A B. 100A 
6. The alpha particle islighter than the beta particle 
7. The alpha particle is deflected morethan  the beta particle in a magnetic field 
8. The beta particle is deflected more than  alpha particle in a magnetic field. 

Eight alpha decays and six beta decays necessary  before an atom of 23 8 U achieves stability. The  9 2 

final product in the chain has an atomic number of A. 70 B. 78 C. 82 D. 90. 

1 A 

46. 10 A D. 

A beam of radiation is passed between a pair of  charged plates indicated in the diagram above.  Beam P is undeflected while Q is deflected to the  left. P and Q respectively could be 

The figure above shows a conductor PQ carrying  a current I in the direction shown. At a particular  position near the conductor is a compass needle K. Neglecting the earth’s magnetic field, the  compass needle will 

1. Alpharays Betta-rays II x-rays Betta-rays III. gammarays Alpha-rays  IV x-rays Alpharays. A. I only B. III only C. I and II D. III and IV. 
   

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Physics 1990 

.1. 

1. mv .

M 

1. Mv .

M -m 

1. Mv .

M +m 

1. mv .

M -m 

What is the reading of the vernier scale above? 6. 

1. 1.88 cm B. 1.80 cm 
2. 1.28 cm D. 1.97 mm 
3. Which of the following is a fundamental unit? 
4. Newton B. Watt 
5. Joule D. Second 

What is the average velocity of the sprinter whose  

velocity-time graph is shown in the figure above? 

85. 85.0m s-1 B. 17.0ms-1
86. 8.5m s-1 D. 1.7m s-1
87. Which of the following statements are 
    

Two horizontal forces, 10N and 8N and another  

force F, inclined at 300to the vertical acting as  

shown in the diagram above, keep the body P in  

equilibrium. The weight of the body is 

1. 2 3 N

3 

1. 3N 
2. 4 3 N

3 

1. 2 3 N
2. A car moving with a speed of 90km h was brought  uniformly to rest by the application ofthe brakes 8. X 

in 10s. How far did the car travel after the brakes 

were applied? 

1. 125 m B. 150 m 
2. 250 m D. 15 km 
3. A particle of mass M which is at rest splits up into  two. If the mass and velocity of one of the particles  

are m and v respectively, calculate the velocity of  

the second particle. 

correct about an object in equilibriumunder parallel forces? I The total clockwise moments of the  forces about any point equals the total anticlockwise moments about the same point. 

II The total forces in one direction equals  the total forces in the opposite direction III The resolved components along the x axis equalsthe resolved component along  the y-axis. 

1. I and II only B. I and III only C. II and III only D. I, II andIII. 

2m 

Y5N

Z 

692 

A force of 5N acts at a point Y on a rod XYZ as  shown in the diagram above. If XY is 2m, what is  the moment of the force about pointX? 

1. 0Nm B. 3Nm 
2. 7Nm D. 10Nm. 
3. To keep a vehicle moving at a constant speed v,  requires power P, from the engine. The force  provided by the engine is 
4. P B. 1/2v  

v 

1. pv D. p/v2
2. P

V2 

10. A stone of mass m kg is held h meters above the  floor for 50s. The work done in joules over the  period is 
11. mh B. mgh 
12. mgh/50 D. 0 
13. A body of mass 10kg rests on a rough inclined  plane whose angle of tilt è is variable. is gradually  increased until the body starts to slide down the  plane at 300. The coefficient of limiting friction  between the body and the plane is 
14. 0.30 B. 0.50 
15. 0.58 D. 0.87. 
16. An inclined plane which makes an angle of 300 with the horizontal has a velocity ratio of 
17. 2 B. 1 
18. 0.866 D. 0.50. 
19. What is the length of the liquid column in a  barometer tube that would support anatmospheric  pressure of 102000 Nm-2if the density of the liquid  is 2600 kgm-3? [g = 10 ms-2]. 
20. 0.75m B. 0.76m 
21. 3.92m D. 39.23m. 
22. 40cm3 ofliquid is mixed with 60m3 of another liquid Q. If the density ofP and Q are 1.00kg m3and 1.6kg  m3respectively, what isthe density of the mixture? A. 0.05 kg m-3 B. 1.25 kg m-3
23. 1.30 kg m-3 D. 1.36 kg m-3
24. The resistances of a platinum wire at the ice and  steam points are 0.75 ohm and 1.05 ohm  respectively. Determine the temperature at which  the resistance ofthe wire is 0.90 ohm 
25. 43.00C B. 50.00C 
26. 69.90C D. 87.00C 
27. A bar of initial length l0 is heated through a  temperature change Ä t to a new length l. The  linear expansivity, á, ofthe bar is 
28. l – l0 .

l Ä t 

1. l – l0 .

l0 Ä t 

1. l0 (1 + Ät) 
2. l – l0 .

l (1 + Ät) 

17. The pressure of a gas when cooled at constant  volume will decrease because themolecules 
18. Collide less frequently with the walls of  the container. 
19. Have the same average kineticenergy C. Break up into smaller molecules 
20. Decrease in number. 
21. 1kg of copper is transferred quickly from boiling  water to a block of ice. Calculate the mass of ice  melted, neglecting heat loss. 
22. 60g B. 67g 
23. 120g D. 133g 
24. Which of the following conditions will make water  boil at a temperature of 1000C when the atmospheric  pressure is 750mm Hg? 
25. Increase the external pressure 
26. Reduce the external pressure 
27. Heat more rapidly at the same pressure. D. Reduce the external pressure by a quarter. 
28. Which of the following statements are correct? I Land and sea breezes are natural  convection currents. 

II Convection may occur in liquids or gases  but not in solids. 

III The vacuum in thermos flask prevents  heat loss due to convection only. 

1. I and IIonly 
2. II and IIIonly 
3. I and IIIonly 
4. I, II andIII. 
5. A light wave of frequency 5 x 1014 Hz moves  through water which has a refractive index of 4/ .  3 

Calculate the wavelength in water if the velocity  oflight in air is 3 x 108 ms-1 

4. 4.5x 10-7m B. 6.0 x 10-7m  C. 1.7x 10-6m D. 2.2x 10-6m 
5. A wave disturbance traveling in air enters a medium  in which its velocity is less than that in air. Which  of the following statements is true about the wave  in themedium? 
6. Both the frequency of the wave and the  wavelength are decreased.
   

693 

1. The frequency of the wave is decreased  while the wavelength isincreased. 
2. The frequency of the wave is unaltered  while the wavelength isdecreased. 
3. The frequency of the wave is decreased  while the wavelength isunaltered. 
4. Shadows and eclipse result fromthe A. Refraction oflight 
5. Rectilinear propagation oflight 
6. Defraction oflight 
7. Reflection of light 
8. An object which is 3cm high is placed vertically  10cm in front of a concave mirror. If this object  produces an image 40cm from the mirror, the height  of the image is 
9. 0.75 cm B. 4.00 cm C. 8.00 cm D. 12.00cm 
10. A boy looks at the image of an object in a plane  mirror. He observes two images, a main bright one  and the other faint. The observed images result  from 
11. Reflection only 
12. Refraction only 
13. Diffraction and interference 
14. Reflection and infraction. 
15. Which ofthe following diagrams correctlyillustrates  the path of a ray light through a glass prism? 
16. What must be the distance between an object  and a converging lens of focal length 20cm to  produce an erect image two times the object  height? 
17. 20cm B. 15cm 
18. 10cm D. 5cm 
19. Which of the following correctly represents the  diagram for locating the image P of an object O in  a lens if F is the focal point of the lens? 
20. I and II only B. II and III only C. III and Iv only D. I and Iv only 
21. For a short sighted person, light rays from a point  on a very distant object isfocused 
22. In front of the retina 
23. On the retina by a converging lens 
24. Behind the retina by a diverging lens D. In front of the retina a distance 2F from  the lens. 
25. When light is incident on an object which is  magenta in colour, which of the following colours  be absorbed? 
26. Red and blue B. Green only C. Red and green D. Red only. 
27. In a resonance tube experiment, the effective length  of the air column for the first resonance is 20cm  when set into vibration by a tuning fork of  frequency 480 Hz. Neglecting end effect, the  velocity of sound in air is 
28. 106 Hz B. 213 Hz 
29. 318 Hz D. 425 Hz 
30. An organ pipe closed at one end is 80cm long.  Determine the frequency of the fundamental note  assuming that the speed ofsound in air is 340ms-1. A. 5.1N B. 7.1N 
31. 14.0N D. 19.6N 
32. One of the properties of the earth’s magnetic field  is that the 
33. North pole liesin the northern hemisphere B. Geographic and magnetic meridians  coincide 
34. Earth’s magnetic flux is entirely horizontal  at a place where the magnetic vertical dip  

is zero. 

1. Earth’s magnetic flux is entirely vertical  at a place where the magnetic dip is zero. 
2. Which of the following statements are true of an  insulated charged bodycarrying a positive charge?  I It contains excess positive charges 

II It creates an electricfield 

III It possesses potential energy  

IV It carries electriccurrent.

694 

1. I and IV only B. I and II only C. I, II and II only D. I,II,III andIV. 
2. Which of the following is a vector? 
3. Electric charge 
4. Electric field 
5. Electric potential difference 
6. Electric capacitance. 
7. Three cells each of e.m.f. 1.5V and an internal  resistance of 1.0 Ohms are connected in parallel  across a load resistance at 2.67 Ohms. Calculate  the current in the load? 
8. 0.26A B. 0.41A 
9. 0.50A D. 0.79A. 
10. When a known standard resistor of 2.0 Ohms is  connected to the 0.0cm end of a meter bridge the  balance point is found to be 55.0cm. what is the  value of the unknown resistor? 
11. 1.10 Ohms B. 1.64 Ohms C. 2.44 Ohms D. 27.50 Ohms 
12. The total energy required to send a unit positive  charge round a complete electrical circuit is the A. Kinetic energy 
13. Potential difference 
14. Electromotive force 
15. Electrical energy 
16. Which of the following graphs of current against  voltage illustrates Ohm’slaw? 
17. Heat dissipation 
18. Production of eddy currents 
19. Excessive current discharged 
20. Excessive voltage discharged. 
21. A lamp is rated 240V, 60W. The resistance of the  filament is 
22. 960 Ohms B. 16 Ohms C. 15Ohms D. 4 Ohms 
23. A 0 – 10 mA galvanometer with a coil resistance of  30 Ohms can be converted to a 0 –10A ammeter by  using 
24. 0.03 ohms seriesresistor 
25. 0.03 ohms shunt resistor 
26. 9.99 ohms shunt resistor 
27. 9.99 ohms seriesresistor 
28. The number of neutrons contained in the nucleus  of 32 8 U is 9

A.292 B. 146 

1. 238 D. 330 
2. What precaution should a manufacturer take to  ensure that energy loss in a transformer is  minimized? 
3. The winding of the transformer should  be made of high resistancewires. 
4. The core should be made of thin sheets  ofmetal. 
5. No magnetic material should be used to  make the core. 
6. The flux linking the primary with the  
   

v 

I

v 

I 

secondary coils should be minimum. 

48. A substance has a halflife of 3 min. after 6 min, the  count rate was observed to be 400. What was its  count rate at zerotime? 
49. 200 B. 1200 
    

v v 

I I 

41. Which of the following is an essential physical  property of the wires used for making fuses? A. Low density 
42. High thermal conductivity 
43. Low electricalresistivity 
44. Low melting point. 
45. Which of the following is most suitable for  protecting the circuit of a 2000W electric iron  connected to a 250V mains? 
46. 13A B. 8A 
47. 5A D. 3A 
48. Electrical power is transmitted at a high voltage  rather than low voltage because the amount of  energy loss is reduced due to 
49. 1600 D. 2 400 
50. Which ofthe following graphsrepresents a voltage  current characteristics curve for a diode? 
51. The photocell works on the principle of the A. Voltaiccell 
52. Emission of electrons by incident  radiation 
53. Emission of protons by incident  electrons. 
    

695 

1. Photographic plate. Physics 1991
   
2. Which ofthe following is the most suitable for use  as an altimeter? 
3. A mercurybarometer 
4. A fortin barometer 
5. A mercurymanometer 
6. An aneroid barometer. 
7. A body of weight W N rests on a smooth plane  inclined at an angle Q0to the horizontal. What is  the resolved part of the weight in newtons along  the plane? 

Find the tensionT1in the diagram above if the  system is in equilibrium. 

1. 200/ 3 N
2. 100/ 3 N 
3. 300/ 3 N 
4. 100 N 

[g = 10m s-2] 

7. A spring of force constant 1500 Nm-1is acted upon  by a constant force of 75N. Calculate the potential  energy stored in the spring. 
   
8. W sin Q B. W cosQ A. 1.9J B. 3.2J C. W secQ D. W tanQ C. 3.8J D. 5.0J 
   
9. A small metal ball is trown vertically upwards from  the top of a tower with an initial velocityof20ms-1. If  the ball took a total of 6s to reach ground level,  determine the height ofthe tower. 
10. 60m B. 80m 
11. 100m D. 120m 
12. An object moves with uniformspeed round a circle.  Its acceleration has 
13. Constant magnitude and constant direction. B. Constant magnitude and varying direction. C. Varying magnitude and constant direction D. Varying magnitude and varying direction. 
14. A body of mass 100g moving with a velocity of 10.0 ms-1collides with a wall. If after the collision,  it moves with a velocity of 2.0ms-1in the opposite  direction, calculate the change in momentum. A. 0.8Ns B. 1.2Ns 
15. 12.0Ns D. 80.0Ns 
16. T2

o 

30 

T1 

10kg

8. A wheel and axle have radiu 80cm and 10cm  respectively.If the efficiencyofthe machine is 0.85,  an applied force of 1200N to the wheel will raise a  load of 
9. 8.0 N B. 6.8 N C. 8160.0N D. 9600.0N 

F(N) 

12 – 

6 – 

0 12 24 

A body is under the action of a force F such that  the force – displacement graph of the body is  semicircular as shown above. The work done on  the body by the force in moving through 24 metres  is 

1. 36 ð J B. 72 ð J 
2. 144 ð J D. 288 ðJ 
3. A 20kg mass is to be pulled up a slope inclined at  300to the horizontal. If the efficiency of the plane  is 75%, the force required to pull the load up the  plane is 
4. 13.3 N B. 73.5 N 
5. 133.3 N D. 533.2 N 
   

696 

11. The spiral spring of a spring balance is 25.0cm  long when 5N hangs on it and 30.0cm long, when  the weight is 10N. What is the length of the spring  if the weight is 3N assuming Hooke’s Law is  obeyed? 
12. 15.0 cm B. 17.0 cm 
13. 20.0 cm D. 23.0cm

V V 

12. The mass of a stone is 15.0g when completely T T immersed in water and 10.0g when completely  

immersed in a liquid of relative density 2.0. The  

mass of the stone in air is 

5. 5.0g B. 12.0g 
6. 20.0g D. 25.0g V V 
7. A pilot records the atmospheric pressure outside  his plane as 63cm of Hg while a ground observer T T records a reading of 75cm of Hg for the atmospheric 
   

pressure on the ground. Assuming that the density  of the atmosphere is constant, calculate the height  of the plane above the ground. (Relative density  ofHg= 13.0 and that of air = 0.00013) 

1. 1 200 m B. 6 300m C. 7 500 m D. 12800m 
2. In which of the following is surface tension  important? 
3. The floating of a ship in water 
4. The floating of a dry needle in water C. The floating of a balloon in air 
5. The diffusion of a sugar solution across  membrane. 
6. A thermometer with an arbitrary scale, S, of equal  divisionsregisters –300S at the ice point and +900S  at the steam point. Calculate the Celsius  temperature corresponding to 600S. 
7. 25.00C B. 50.00C 
8. 66.70C D. 75.00C 
9. A brass rod is 2m long at a certain temperature.  What is the length for a temperature rise of 100K,  if the expansivity of brass is 18 x 10-6 K-1? 
10. 2.0036m B. 2.0018m 
11. 2.1800m D. 2.0360m 
12. What is the difference in the amount of heat given  out by 4kg of steam and 4kg of water when both  are cooled from 1000C to 800C? 

[The specific latent heat ofsteam is 2,260,000J kg1,  specific heat capacity of water is 4200J kg-1 K-1]  A. 4,200J B. 2,260,000J C. 9,040,000J D. 9,380,000J 

18. The graphs below show the variation of volume (V) against temperature (T) in Kelvin for a given  mass of gas at constant pressure. Which of the  graphs depicts the behaviour of an ideal gas? 
19. How long does it take a 750-W heater to rise the  temperature of 1kg to water from 200C to 500C?  [Specific heat capacity of water = 4200J kg-1 K-1]  A. 84s B. 112s 
20. 168s D. 280s 
21. The saturated vapour pressure of a liquid increases  as the 
22. Volume of the liquid increases 
23. Volume of the liquiddecreases 
24. Temperature of the liquid decreases D. Temperature of the liquid decreases 
25. The absolute temperature of a perfect gas is  proportional to the average 
26. Potential energy of the molecules 
27. Separation between the molecules 
28. Kinetic energyof the molecules 
29. Velocity of themolecules. 
30. A room is heated by means of a charcoal fire. An  occupant of the room standing away from the fire  is warmed mainly by 
31. Convection B. Radiation C. Conduction D. Reflection 
32. A boy timed 30 oscillations of a certain pendulum  thrice and obtained 1 min. 10s, 1min. 12s and 1 min.  7s respectively. The mean period of oscillation of  the pendulum is 
33. 0.14s B. 0.43s 
34. 2.32s D. 6.97s 
35. Which ofthe following is TRUE oflight and sound  waves? 
36. They both transmit energy 
37. They both need a medium for  

propagation 

1. They are both transverse waves 
2. Their velocitiesin air are equal. 
   

697 

25. The image in pin-hole camera is 
26. Erect and formed byrefraction through a  lens 
27. Virtual and formed bydispersion 
28. Erect and gets sharper as the hole  becomeslarger 
29. Inverted and formed by the light from  each point traveling in a straightline. 
30. When a plane mirror at which a ray is incident is  rotated through an angle Q, the reflected ray will  be rotated through 
31. ½Q B. Q 
32. 2Q D. 3Q 
33. A trough 12.0cm deep is filled with water of  refractive index 4/3. By how much would a coin at  the bottom of the trough appear to be displaced  when viewed vertically from above the water  surface? 
34. 3.0cm B. 6.0cm 
35. 9.0cm D. 16.0cm 
36. In a ray diagram for a thin converging lens, a ray  that is not parallel to the optic axis but passes  through the optic center will 
37. Pass through undeviated 
38. Passthrough the center of curvature after  refraction 
39. Emerge parallel to the principal axis 
40. Pass through the principal focus after  refraction. 
41. Which of the following correctly describes the  image of an object, 4cm from a diverging lens of  focal length –12cm? 
42. The image is virtual, 3cm in front ofthe lens B. The image isreal, 6cm behind the lens 
43. The image is virtual, 6cm in front ofthe lens D. The image is real, 3cm in front ofthe lens. 
44. Two tuning forks of frequencies 256Hz and 260 Hz  are sounded close to each other. What is the  frequency of the beats produced? 
45. 2 Hz 
46. 4 Hz 
47. 8 Hz 
48. 258Hz 
49. A man hears his echo from a nearby hill 2s after he  shouted. If the frequency of his voice is 260 Hz  and the wavelength is 1.29m, how far away isthe  hill? 
50. 330.0m B. 335.4m 
51. 660.0m D. 670.8m 
52. When the bottom tip of a vibrating turning fork  held in contact with a wooden box, a louder sound  is heard. This phenomena is knownas 
53. Beats 
54. Echoing 
55. Resonance 
56. Reverberation 
57. Which of the following statements is CORRECT about the earth’s magnetic field? 
58. The angle of dip is the angle which a free  suspended magnet makes with the  

vertical 

1. The angle of declination is the angle  between the magnetic meridian and the  

geographic meridian 

1. The angle of declination is the angle  which a magnetic compass makes with  

the magneticmeridian. 

1. The angle of inclination is the difference  between the angle of dip and the angleof  

declination. 

34. An insulated rod when rubbed with a material  acquires 
35. A negative charge if it is made of glass and  rubbed with silk 
36. No charge if it is made of glass and rubbed  with fur 
37. No charge if it is made of copper and rubbed  with silk 
38. A positive charge if it is made of copper and  rubbed with fur. 

The internal resistance of each of the cells E1 and  E2 shown in the figure above is 2Ù. Calculate the  total current in the circuit 

1. 0.80A B. 0.50A 
2. 0.40A D. 0.004A 
3. The function of the system of granulated carbon  mixed with manganese (IV) oxide in a Leclanche  cell is to 
4. Increase the e.m.f. ofthe cell to 2.0V 
5. Prevent local action in thecell 
6. Prevent polarization in the cell 
7. Make the cell black and hence a good radiator
   

698 

37. A moving coil galvanometer of 300 Ohms  resistance gives full scale deflection for 1.0mA.  The resistance, R, of the shunt that is required to  convert the galvanometer into a 3.0A ammeter is 
38. 899.70Ohms 
39. 10.00Ohms 
40. 0.10 Ohms 
41. 0.01 Ohms 
42. Which of the following obeys Ohm’s Law? A. Glass B.Diode 
43. All electrolytes D. All metals. 39. 

The net capacitance in the circuit shown above is A. 8.0 uF B. 6.0 uF 

4. 4.0 uF D. 2.0 uF 
5. If a current carrying coil is mounted on a metal  frame, the back e.m.f. induced in the coil causes A. Inductance B. Eddy currents C. Electromagnetism D. Dipole moment 
6. The electrochemical equivalent of platinum is 5.0 x  107 kg C-1.To plate-out 1.0kg of platinum, a current  of 100A must be passed through n appropriate  vessel for 
7. 5.6 hours 
8. 56 hours 
9. 1.4 x 104hours 
10. 2.0 x 104 hours. 
11. Which of the following statements are TRUE of  isotopes? 

I Isotopes of an element have the same  chemical properties because they have  

the same number of electrons. 

II Isotopes of elements are normally  separated using physical properties 

III Isotopes of an element have the same  number of protons in the nuclei. 

1. I and IIonly 
2. I and IIIonly 
3. II and IIIonly 
   

. 

In the above circuit, the fuse wire melts when A. K is opened 

1. K is closed 
2. The 14 – Ohmsresistor is doubled with K  closed 
3. The 6 – Ohms resistor is doubledwith K  closed. 
4. I, II andIII. 
5. When an atom loses or gains a charge, it becomes A. An electron B. An ion 
6. A neutron D. A proton. 
7. 4g of a radioactive material of half-life 10 days is  spilled on a laboratory floor. How long would it  take to disintegrate 3.5g of the material? 
8. 1¼ days 
9. 8¾ days 
10. 30 days 
11. 80 days. 
12. In a nuclear fusion process, four protons each of  mass Mp were fused to produce a nucleus X of  mass Mx. Which of the following equations is  CORRECT? 
    
13. An equipment whose power is 1500W and  resistance is 375 ohms would draw a current of  A. 0.10A B. 2.00A 
14. 4.00A D. 77.5A. 
15. To convert an alternating current dynamo into a  direct current dynamo, the 
16. Number of turns in the coil isincreased B. Strength ofthe field magnetic isincreased C. Slip rings are replaced with a split ring  commutator 
17. Coil is wound on a soft ironarmature. 
18. 4 Mp> Mx B. 4 Mp =Mx C. 4 Mp< Mx D. Mp = Mx
19. Which of the following are TRUE for á-decay I. Mass number decreases by four  

II Atomic number decreases by two  

III Mass number does not change. 

1. I and II only B. II and III only C. I and III only D. I, II andIII.
   

699 

50. Which of the following phenomena is called  photoelectric effect? 
51. High energy electrons impinge on a  metallic anode which then emits photons 
52. A high energy photon emits photons as  it is slowed down 
53. A metal absorbs quanta oflight and then  emits electrons 
54. Two electrons are created fromquantum  oflight. 
    

Physics 1992 

1. What is the least possible error in using rule 7. graduated in centimeters? 
2. 0.1cm B. 0.5cm 
3. 1.0cm D. 2.0cm 
4. Which ofthe following affectsthe period of a simple  pendulum? 

I Mass of the pendulum bob 

II Length of thependulum 

III Acceleration due to gravity. 

1. I, II andIII 
2. II and II only 
   
3. I and III only 
4. I and IIonly. 
5. A boy sitsin a train moving with uniform speed on  a straight track. If from his outstretched palm he  gently tosses a coin vertically upwards, the coin  willfall 
6. In front of his palm 
7. Behind hispalm 
8. Beside his palm 
9. Into hispalm 
10. A body starts from rest and moves with uniform  acceleration of 6 ms-2. What distance does it cover  in the third second? 
11. 15m B. 18m 
12. 27m D. 30m 
13. A stone, Q is thrown with velocity u at an angle of  750to the horizontal. Another stone R is thrown  with the same velocity u but at an angle of 150to  the horizontal. The ranges covered by the stones  will be 
14. Greater for Q B. Greater for R C. The same for Q and R 
15. Greater for heavier of the stones 
16. A man weighting 800N climbs up a flight ofstairs  to a height of 15m in 12.5s. What is the man’s  average power output? 
17. 667W B. 810W C. 960W D. 15 000W

A uniform light rod is kept in horizontal equilibrium  under the influence of four forces as shown above.  Which of the following equations correctly  representsthe condition of equilibrium for the rod?  A. F1 + F2 = F3 + F4 

1. F1 + F2 – F3 + F4 = 0 
2. (F + F )ab = (F + F )cd 

1 2 3 4 

1. F1a + F2b – F3c – F4d = 0 

In the diagram above, the hanging mass m2 is  adjusted until m1 is on the verge of sliding. The  coefficient of static friction between the mass m1  and the table is 

1. m1

ms 

700 

1. m1g 

ms 

1. m2

m1 

1. m2g

m1 

9. A machine requires 1000J of work to raise a load of  500N through a vertical distance of 1.5m. Calculate  the efficiency of the machine. 
10. A bridge made of steel is 600m long. What is the  daily variation in its length if the night-time and  day-time temperatures are 100C and 350C  respectively. The linear expansivity of steel is  0.000012C-1. 
11. 0.18cm B. 1.80cm 
12. 18.00cm D. 1800cm 
13. One ofthe most important applications of bimetallic  strip is found in the construction of 
    
14. 80% B. 75% A. A thermostat B. An altimeter C. 50% D. 33% C. A thermocouple D. A hygrometer 
    
15. In an experiment to determine Young’s Modulus  for a wire, several; loads are attached to the wire  and the corresponding extensions measured. The  tensile stress in each case depends on the 
16. Load and the extension 
17. Load and the raiud of the wire 
18. Radius ofthe wire and the extension D. Extension and the original length of the  wire. 

The figure above shows the height of two liquids  X and y when some air is sucked out of the  apparatusthrough the pump P.the diameter ofthe  tube in X istwice that ofthe Y.What is the relative  density of the liquid X with respect to liquid Y?  A. 1/3 B. 2/3 

1. 3 D. 6 
2. If a plastic sphere floatsin water (density = 1000kg  m-3) with 0.5 of its volume submerged and floatsin  oil with 0.4 volume submerged, the density of the  oil is 
3. 800 kgm-3 B. 1 200 kgm-3 C. 1 250 kg m-3 D. 2 000 kgm-3
4. A platinum resistance thermometer wire has a  resistance of 5 ohms at 00C and 5.5 ohms at 100.  Calculate the temperature of the wire when the  resistance is 5.2 ohms 
5. At constant pressure, the density of a fixed mass  of gas is 
6. Constant with temperature 
7. Proportional to its volume 
8. Inversely proportional to itstemperature D. Independent of its volume 
9. Howmuch heat is absorbed when a block of copper  of mass 0.05kg and specific heat capacity 390J kg-1 K-1is heated from 200Cto 700C? 
10. 3.98 x 10-1J B. 9.75 x 102J C. 3.98x 103J D. 9.75 x 103J 
11. A block of ice floats on water inside a container. If  the block of ice gets completely melted, the level  of water in the container will 
12. Increase 
13. Remain the same 
14. Decrease 
15. First decrease and then increase. 
16. The space between the double glass walls of a  thermos flask is evacuated and the two surfaces  facing the evacuated space are silvered. The  residual source of heat loss takes place by 
17. Convection 
18. Radiation from the surfaces’ 
19. Conduction through the stopper and the  glass. 
20. Conduction across the walls. 
21. The equation of wave is 

y = 0.005 sin [x(0.5x – 200 t)]1 

where x and y are in metres and t is in seconds.  What is the velocity of the wave? 

1. 4 000 m s-1 B. 400 m s-1 C. 250 m s-1 D. 40 m s-1
2. Which of the following characteristics of a wave  is used in the measurement of the depth of the 
   
3. 800C B. 600C sea? 
4. 400C D. 100C A. Diffraction B. Interference C. Refraction D. Reflection

701 

22. A note is the octave of another note if it has A. A frequency twice that of the first note B. Frequency half that of the first note C. The same frequency as the first one D. A frequency eight times that of the first  note. 
23. What is the frequency of the sound made by a  siren having a disc with 32 holes and making 25  revolutions per second? 
24. 80 Hz B. 600 Hz C. 800 Hz D. 1600 Hz 
25. Which ofthe following properties make the convex  mirror useful as a driving mirror? 

I The image isreal 

II The image iserect 

III It has a wide field ofview  

IV The image is magnified 

1. I, II and IV B. I, II and III C. II and III D. I and III. 
2. When an object is placed very close tothe pole of  a concave mirror, the virtual image obtained is A. Diminished andupright 
3. Diminished andinverted 
4. Enlarged and inverted 
5. Enlarged and upright. 
6. A concave mirror has a radius of curvature of 36cm.  At what distance from the mirror should an object  be placed to give a real image three timesthe ize of  the object? 
7. 12 cm B. 24 cm 
8. 48 cm D. 108cm 
9. Which of the following statements is CORRECT  about a long-sighted boy who does not put on  glasses? 
10. He cannot see distance objects clearly 
11. Rays of light from a close objects are focused  in front of hisretina 
12. His eyeball is too long 
13. Parallel rays of light are focused behind his  retina. 
14. The speed oflight in air is 3 x 108 m s-1. What isthe  peed in glass with a refractive index of 1.50? 
15. 1.5 x 108m s-1 B. 3.0 x 108m s-1 C. 2.0 x 108m s-1 D. 6.0x 108ms-1. 
16. Ifthe refractiveindex ofa mediumin air is 2.0, what  isthe critical angle for this medium? 
17. Which of the following arrangements of the  components of electromagnetic spectrum is in  ascending order of wavelengths? 
18. Gamma rays, ultraviolet rays, x-rays, infra-red  rays. 
19. Gamma rays, x-rays, ultraviolet rays,infra-red  rays 
20. Infra-red rays, ultraviolet rays, x-rays, gamma  rays. 
21. Gamma rays, ultraviolet rays, infra-red rays, x rays. 

The diagram above represents the field pattern  obtained by bringing the poles of two magnets  near each other. The poles must be 

1. N – N poles B. S – S poles C. S – N poles D. N – S poles 
2. The angle between the direction of the earth’s  magnetic field and the horizontal is called the 
3. Angle of deviation 
4. Magnetic declination 
5. Magnetic meridian 
6. Angle of dip 
7. Calculate the force acting on an electron of charge 1.6 x 10-19 C placed in an electric field of intensity  108Vm-‘. 
8. 1.6 x 10-11N B. 1.6 x10-14N C. 1.6 x 10-16N D. 1.0 x10-16N 
9. When an ebonite rod is rubbed with fur, it has A. No charge atall 
10. A negative charge 
11. A positive charge 
12. Negative and positive charges. 
13. Which of the following factors has no effect on e.m.f. of a primary cell? 
14. Temperature 
15. Size ofthe cell 
    
16. 300 B. 420 C. Nature of the plates C. 450 D. 500 D. Nature of the electrolyte.

702 

36. A wire oflength 15mmade of a material ofresistivity 1.8 x 10-6 ohms-m has a resistance of 0.27 ohms.  Determine the area of the wire 
37. 1.5x 10-4m2 B. 1.0x 10-4m2 C. 2.7x 10-5m2 D. 7.3x 10-5m2
38. The diagram above shows a meter bridge in which  two ofthe arms contain resistances R and 2 ohms.  A balance point is obtained at 60cm from the left  end. Calculate the value of R. 
39. 1.2Ohms B. 1.3 Ohms C. 3.0Ohms D. 6.0 Ohms 

The circuit diagram above contains four ammeter  W, X, Y and Z. Which of the following statements  about the ammeter reading is correct? 

1. The reading of W is equal to that of Y  and twice that ofX. 
2. The reading of y is greater than that of Z C. The readings of W and Y are equal and  each is greater than that ofX. 
3. The reading of Z is equal to the sum of  the readings of W andY. 
4. A 5-V battery is connected across the plates of a 2.0 ìF unchanged parallel plate capacitor. The  charge on the capacitor after a long time is 
5. 1.5 uC B. 10.0 uC 
6. 20.0uC D. 50.0 uC 
7. Which of the following apparatus will require the  smallest fuse rating for its protection? 
8. 60W,240V B. 60W, 40V  C. 40W, 12V D. 40W, 5V 41. A capacitor of 10 ìF is connected across a cell of 

12 volts as shown above. Calculate the energy  stored in the capacitor. 

7. 7.2x 10-4J B. 1.4 x 10-3J C. 1.4x 10-4J D. 1.3 x 10-2J 
8. The heat produced in a conductor carrying an  electric is 
9. Inversely proportional to thecurrent and  the resistance 
10. Directlyproportional to the current, resistance  and the time. 
11. Inversely proportional to the square of the  resistance, current and thetime. 
12. Directly proportional to the square of the  current, the resistance and the time. 
13. PQRS is a rectangular cell with PQperpendicular  to the magnetic field as shown in the diagram. If a  current flows in the direction PQRS, in what  direction will the coilmove? 
14. Upwards 
15. Downwards 
16. Towards the north pole 
17. Towards the south pole. 
18. The maximum permissible current through a  galvanometer G ofinternal resistance 10Ù is 0.05A.  A resistance Ris used to convert G into a voltmeter  with a maximum reading of 100V. Find the value of  R and how it is connected to G. 
19. 20,000 ohmsin parallel 
20. 19,990 ohmsin series 
21. 1,990 ohms inseries 
22. 100 ohms inseries 
23. In alternating current theory, the unites of  impedance, r.m.s. voltage and resonance frequency  are respectively equal to 
24. Volt, ampere andhertz 
25. Ohm, volt andhertz 
26. Watt, ohm and radian 
27. Ohm, hertz andjoule. 
28. In A.C. circuit theory, the root mean square (r.m.s.)  current, Irms, and the peak (maximum) current I0are
    

703 

related by 

1. I0= Irms/ 2 
2. Irms= I0/ 2 
3. Irms = 1/ I02 
4. I0= 1/Irms2 
5. Which of the following graphs correctly illustrates  the number of remaining atoms during a radioactive  decay. 
6. The threshold frequency for photoelectric effect  depends on the 
7. Intensity of incidentlight 
8. Frequency of incidentlight 
9. Material of the photocathode 
10. Potential difference between the cathode  and the mode 
11. After three half life, the function of a radioactive  material that has decayed is 
12. 1/8 B. 1/3 
13. 2/3 D. 7/8 
14. 2 7 Al + 1 n ’! 2 4 Na + X 

1 3 0 1 1 

In the nuclear reaction above, the product denoted  by X is 

1. A proton 
2. A gammaray 
3. A heliumparticle 
4. An alpha particle. 
   

Physics 1993 

1. Which of the following quantities has the same  unit as the watt? 
2. Force xtime 
3. Force x distance 
4. Force x acceleration 
5. Force x velocity 
6. The external and internal diameters of a tube are  measured as (32 ± 2)mm and (21 ± 1) mm  respectively. Determine the percentage error in the  thickness of the tube. 
7. 27 B. 14% 
8. 9% D. 3% 

The diagram above shows a velocity – time graph  representing the motion of a car. Find the total 

distance covered during the acceleration and the  retardation periods of the motion. 

1. 75m B. 150m 
2. 300m D. 375m 
3. Two forces of magnitudes 7N and 3N act at right  angles to each other. The angle è between the  resultant and the 7N force is given by 
4. Cos Q = 3/7 B. Sin Q = 3/7 C. Tan Q =3/7 D. Cot Q= 3/7 
5. An earoplane lands on a runway at a speed of  180kmh-1and is brought to a stop uniformly in 30  seconds. What distance does it cover on the  runway before coming to rest 
6. 360m B. 540m 
7. 750m D. 957m 
8. A rocket burns fuel at the rate of 10kg s-1and eject  it with a velocity of 5 x 103m s-1.the thrust  exerted by the gas on the rocket is 
9. 2.5 x 107N B. 5.0 x 104N C. 5.0 x 102N D. 2.0 x 10-3N 
10. The force experienced byan object of mass 60.0kg  in the moon’s gravitational field is 1.002 x 103N.  What is the intensity of the gravitational field?  A. 0.60 N kg-1 B. 1.67 Nkg-1 C. 6.12 x 102N kg-1 D. 9.81 ms-1
    

704 

8. Which of the following correctly describe the  energy changes in the generation of light by a  hydroelectric power station? 
9. Electrical mechanical potential  light. 
10. Potential mechanical electrical light. 
11. Mechanical sound electrical 

light 

1. Kinetic mechanical electrical light. 
2. A plane inclined at angle è has a velocity ratio of  10 : 1. The inclination ofthe plane to the horizontal  is given by 
3. tan Q =1/10 
4. cot Q =1/10 
5. cos Q= 1/10 
6. sin Q=1/10 
7. A weightless vessel of dimensions 4m x 3m x 2m is  filled with a liquid of density 1000 kgm-3and sealed.  What is the maximum pressure this contain can  exert on a flatsurface? 

[g = 10 ms-2] 

1. 9 x 104 Nm-2 B. 4 x 104Nm-2 C. 3 x 104 Nm-2 D. 2 x 104Nm-2

In the figure above the weight X is held in position  by pulling the rope KLM in the direction LM.  Which of the following diagrams shows the force  acting at pointL 

In the diagram above, a lever of length 200m is  used to lift a load of mass 180kg. The pivot at P is  120m from the load. What minimum force, F1 must  be applied at the end of the lever? 

1. 9 N B. 18 N 
2. 20 N D. 200N 
3. An object of mass 400g and density 600 kgm-3is  suspended with a string so that half of it if immersed in paraffin of density 900 kgm-3. The  tension in the string is 
4. 1.0N B. 3.0N 
5. 4.0N D. 5.0N 
6. The thermometric property ofthe thermocouple is  that its 
7. e.m.f. changes withtemperature 
8. Resistance changes with temperature C. Volume changes with temperature 
9. Pressure changes with resistance. 
10. A metal rod 800mm long is heated from 100C to  950C. Ifit expands by.36mm, the linear expansivity  of the metalis 
11. 2.0 x102K-1 B. 2.0 x10-2K-1 C. 5.0 x10-2K-1 D. 2.0 x 10-5K-1
12. When the volume of a given mass of gas in halved  and its temperature doubled, the pressure 
13. Remains constant 
14. Increases by a factor of 4 
15. Increases by a factor of 3 
16. Decreases by a factor of 4 
17. 200g of water at 900Cis mixed with 100g of water at  300C. What is the final temperature? 
18. 500C B. 600C 
19. 700C D. 800C 
20. A block of ice at 00C is put in an open vessel and  heated uniformly until half the water boils off.
    

705 

Which of the following graphs best illustrates the  change in temperature during the process? 

19. The melting point of a solid is given at 800C. if 105J  of heat energy is required at this temperature to  melt 10g of the solid, the specific latent heat of  fusion of the solid is 
20. 1.00 x 103J kg-1
21. 1.25 x 105 J kg-1
22. 1.00 x 107J kg-1
23. 8.00 x 108J kg-1

Use the figure below which shows a stationary  wave in a closed tube to answer questions 20 and  21. 

20. The relationship between L and the wavelength ë  of the stationary wave is 
21. Acoustic waves 
22. Infra-red waves 
23. Radio waves emitted from an antenna are picked  up by a radar after reflection from an aircraft in 4 x  10-ss. How far isthe aircraft from the antenna? [c = 3 x 108 ms-1] 
24. 6.0 x 102 km B. 1.2 x 103 km C. 3.0 x 103 km D. 6.0 x 105 km 
25. The fundamental frequency of vibration (f) of a  wire is measured as a function ofthe tension (T) in  the wire. Which ofthe following curves adequately  represents the data? 

Twomirrors, M1, M2are inclined at right angles as  shown above. Calculate the angle of reflection of  the ray oflight at mirror M2. 

1. 300 B. 450
   
2. B. 

2L= L=

1. 600 D. 900
2. Which of the following expressions gives the linear  
   
3. L = /3
4. 4L= 3
5. Determine the distance between the consecutive  antinodes XX ifthe wavelength is 66cm. 
6. 15 cm B. 30cm 
7. 60cm D. 120cm 
8. Which of the following waves can propagate  through a vacuum? 
9. High velocity sound waves 
10. Ultrasonic waves 

magnification produced by a concave mirror of  radius of curvature r, if u and v are theobject and  image distances respectively? 

1. v 1

r 

1. 2 v 1

r 

1. u 1

r 

1. 2u 1

r 

706 

27. If the focal length of a camera lens is 20cm, the  distance from the film at which the lens must be  set to produce a sharp image of an object 100cm  away is 
28. 17cm B. 20cm 
29. 25cm D. 100cm 
30. Which of the following may be used to explain a  mirage? 

I Layers of air near the road surface have  varying refractiveindices in hot weather 

II Road surfaces sometimes becomes good  reflectors in hot weather. 

III Light from the sky can be reflected  upwards after coming close to the road  

surface. 

1. II only 
2. II and IIIonly 
3. I and IIIonly 
4. I, II andIII. 
5. A beam of light is incident from air to, water at an  angle 300, Find the angle of refraction if the  refractive index of water is 4/3. 
6. 150 B. 180
7. 220 D. 240
8. The property of the eye known as its power of  accommodation is controlled by the 
9. Pupil B. Vitreous humour 
10. Iris D. Ciliarymuscles 
11. Which of the following correctly explains(s) why  a green leaf appears green in bright daylight? I It absorbs only the green component of  sunlight. 

II It absorbs all colours in sunlight except  green. 

III It reflects only the green component of  sunlight. 

1. I only 
2. II only 
3. I and IIIonly 
4. II and IIIonly. 
5. A field that results from the contact of a positively  charged ball with the inner wall of an uncharged  hollow conducting sphere is 
6. Inside the sphere 
7. On the surface of the ball 
8. Inside and outside the sphere 
9. Outside the sphere. 
10. A horizontal component of the earth’s magnetic  field and the magnetic field of a straight wire X  carries current into the plane of a paper. Which of  the following figures correctly illustrates the 

resultant magnetic field pattern in the horizontal  plane? 

34. Which of the following correctly explain(s) why  soft iron is preferred to steel in electromagnets? I Soft iron is more readilymagnetized than  steel. 

II Soft iron is more readily demagnetized  than steel. 

III Soft iron retains magnetism more than  steel. 

1. I only 
2. II and IIIonly 
3. I and IIonly 
4. I, II andIII. 
5. A current-carrying conductor experiences a force  when placed in a magnetic field because the 
6. Conductor is magnetized 
7. Magnetic field of the current interacts  with external magneticfield. 
8. Force is due to the motor principle 
9. Electric field ofthe current interacts with  the external magneticfield. 
10. A simple cell with mercury-amalgamated zinc  electrode prevents 
11. Local action B. Polarization C. Buckling D. Degradation. 
12. The terminal voltage of a battery is 4.0V when  supplying a current of 2.0A, and 2.0V when  supplying a current of 3.0A. The internal resistance  of the battery is 
13. 0.5 Ohms 
14. 1.0 Ohms 
15. 2.0 Ohms 
16. 4.0 Ohms
    

707 

The current 1 in the figure above is 

4. 4.00A B. 1.30A 
5. 0.80A D. 0.75A 
6. A current of 100mA passes through a conductor  for 2 minutes. The quantity of electricity  transported is 
7. 200C B. 50C 
8. 12C D. 0.02C 
9. A parallel plate capacitor of area 10cm2in vacuum  has a capacitance of 10-2uF. What is the distance  between the plates? 

(S = 9 x 10-12 Fm ) 

0 

1. 9 x10-13m B. 9 x 107m C. 9x 10-3m D. 9×107m 
3. The primaryaim in high tension transmission isto 
4. Minimize electrical energy losses due to heat  production 
5. Increase the rate of energy transfer by using  high voltage 
6. Increase the current in the wires. 
7. Generate electricity at high current and low  voltage. 
8. Determine the inductive reactance when a 30.0mH  inductor with a negligible resistance is connected  to a 1.30 x 103 Hz oscillator. 
9. 39.0 Ohms 
10. 122.5Ohms 
11. 245.0 Ohms 
12. 39000.0Ohms 
13. Which of the following statements correctly  describe(s) cathode rays? 

I They consist of tiny particles negative  electric charges 

II They are deflected in a magnetic field but  not in an electric field 

III Theyconsist offast moving neutrons and  deflected in an electricfield. 

1. I only 
2. III only 
3. I and IIonly 
4. II and IIIonly 
5. Which ofthe following are produced after a nuclear  fusion process? 

I One heavy nucleus 

II  IV 

Neutrons  Energy 

III Protons 

In the network shown above, determine the  

potential difference across the 5ìF capacitor. A. 3V B. 6V 

1. 12V D. 18V 
2. A 40-W instrument has a resistance of 90 ohms.  On what voltage should it be operated normally? A. 60V B. 150V 
3. 225V D. 3600V 
4. Which of the following devices may be used to  set u p the voltage in d.c. circuit? 
5. A step-up tranformer 
6. A d.c. generator 
7. A wattmeter 
8. An induction coil. 
9. I and II B. I and Iv 
10. II and III D. II and IV. 
11. An element X of atomic number 88 and mass  number 226 decaysto forman element Zbyemitting  two beta particles and an alpha particles. Z is  represent by 
12. 22 2 Z 

8 2 

1. 22 2 Z 

8 8 

1. 22 6 Z 

8 6 

1. 22 6 Z 

8 0 

50. The kinetic energy of a photoelectron liberated  from a metallic surface depends on the 
51. Intensity of the incident radiation 
52. Time duration of the incidentradiation C. Temperature of the incidentradiation D. Frequency of the incident radiation
    

708 

1. 1cm 2cm 5cm 

Physics 1994 

7. A stone thrown vertically upwards returns to the  ground. Which of the following figures represents  

the velocity-time graph? 

What is the reading of the vernier capilers shown  above? 

1. 1.79 cm B. 1.73 cm 
2. 1.39 cm D. 1.34 cm 
3. If it takes 5.0 hours to drain a container of 540.0  cm3 of water, what isthe flowrate of water from the  container in kgs-1? 
4. 32.5 B. 31.5 
5. 30.8 D. 30.0 

(Density of water = 100 kgm-3) 

3. A boat travels due east at a speed of 40 ms-1. What  is the resultant speed of the boat? 
4. 1.3 ms-1 B. 10.0ms-1 C. 50.0 ms-1 D. 70.0ms-1
5. An object is projected with velocity of 80 ms-1at  an angle of 30oto the horizontal. The maximum  height reached is 
6. 20 m B. 80 m 
7. 160 m D. 320 m 
8. A motor vehicle is brought to rest from a speed of  15 ms-1in 20 seconds. Calculate the retardation.  A. 0.75 ms-2 B. 1.33 ms-2 C. 5.00ms-2 D. 7.50ms-2
9. Which ofthe following isTRUE of a particlemoving  in a horizontal circle with constant angular  velocity? 
10. The energy is constant but the linear  momentum varies 
11. The linear momentum is constant but the  energy varies. 
12. Both energy and linear momentum are  constant. 
13. The speed and the linear velocity are both  constant. 
15. The diagram above shows a uniform wood of  weight 200 N and length 50 m. it is pivoted at one  end and suspended by a cord at the other end at  an angle of 30oto the wood. Calculate the tension  in the cord if the wood is horizontal. 
16. 10 N B. 20 N 
17. 100N D. 200N 
18. An object of mass 50 kg is released from a height  of 2 m. find the kinetic energy just before it strikes  the ground. 
19. 250 J B. 1 000 J C. 10 000 J D. 100 000 J 
20. A cone in an unstable equilibrium has its potential  energy 
21. Decreased B. Increased C. Unchanged D. Oscillating
    

709 

11. Calculate the magnitude of the force required to  just move a 20 kg object along a horizontal surface  ifthe coefficient offriction is 0.2 
12. 400.0N B. 40.0 N 
13. 4.0 N D. 0.4 N 
14. Calculate the velocity ratio of a screw jack ofpitch 0.3 cm if the length of the tommy bar is 21 cm. A. 1

140 

1. 14
2. 70
3. 140
4. Which of the following graphs correctly represents  the relationship between the load and the velocity  ratio of a machine? 
5. A spring of length 25 cm is extended to 30 cm by a  load of 150 N attached to one of its ends. What is  the energy stored in the spring? 
6. 3750J B. 2500J 
7. 3.75 J D. 2.50 J 

In the diagram above, if the atmospheric pressure  is 760 mm, the pressure in the chamber G is 

1. 660mm B. 690mm 
2. 830mm D. 860mm
3. A force of 15 N stretches a spring to a total length  of 30 cm. An additional force of 10 N stretches the  spring 5 cm further. Find the natural length ofthe  spring. 
4. 25.0cm B. 22.5cm 
5. 20.0cm D. 15. 0cm 
6. Which of these statements are TRUE of pressure  in liquids? 

I Pressure acts equally in all  

directions. 

II Pressure decreases with depth. 

III Pressure at the same level of a  

liquid isthe same. 

IV Pressure is dependent on the  

cross-sectional area of the  

barometer tube. 

1. I and IIIonly. 
2. I, II and IIIonly. 
3. I, II and IVonly. 
4. I, II,III and IV. 
5. The mass of a specific gravity bottle is 15.2 g when  it is empty. It is 24.8 g when filled with kerosene  and 27.2 g when filled with distilled water. Calculate  the relative density of kerosene. 
6. 1.25 B. 1.10 
7. 0.90 D. 0.80 
8. If a solid X floatsin liquid P ofrelative density 2.0  and in liquid Q of relative density 1.5, it can be  inferred that the 
9. Weight of P displaced is greater than that  of Q 
10. Weight of P displaced is less than that of  Q 
11. Volume of Pdisplaced is greater than that  of Q 
12. Volume of P displaced is les than that of  Q. 
13. The melting point of naphthalene is 780C. What is  this temperature inKelvin? 
14. 100 K B. 315 K 
15. 378 K D. 444 K 
16. A motor tyre isinflated to pressure of2.0 x 105 Nm 2 when the temperature of air is 27oC. What will be  the pressure in it at 87oC assuming that the volume  of the tyre does not change? 
17. 2.6x 105Nm-2 B. 2.4x 105Nm-2 C. 2.2x 105Nm-2 D. 1.3x 105Nm-2
    

710 

22. When 100 g of liquid L at 78oC was mixedXg of  1 

liquid L at 50oC, the final temperature was 66oC.  2 

Given that the specific heat capacity of L2 is half  that of L1, findX. 

1. 50 g B. 100 g 
2. 150 g D. 200 g 
3. A volume ofwater is heated from0oCto 15oC.Which  of the following diagrams correctly represents the  variation ofthe volume with temperature? 

. 

24. Heat is supplied to a test tube containing 100 g of  ice at its melting point. The ice melts completelyin  1 min. what is the power rating of the source of  heat? 
25. 336W B. 450W 
26. 560W D. 600W 

(Latent heat of fusion of ice = 336 Jg-1) 

25. If a room is saturated with water vapour, the  temperature of the roommust be 
26. at 00C 
27. above the dew point 
28. at 1000C 
29. below or at the dew point. 
30. Which of the following graphs represents the  variation of pressure P against volume V at  constant temperature? 
31. Two similar kettles containing equal masses of  boiling water are placed on a table. If the surface  of one is highly polished and the surface of the  other is covered with soot, which of the following  observations is correct? 
32. The equation of a transverse wave traveling along  a string is given by y = 0.3 sin (0.5x – 50t) where y  and x are in cm and t is in seconds. Find the  maximum displacement of the particles from the  equilibrium position. 
33. 50.0 cm B. 2.5 cm 
34. 0.5 cm D. 0.3 cm 
35. The sound from a source traveled to the bottom of  the sea and the echo was heard 4s latter. If the  speed of sound in sea water is 1500 ms-1,the depth  of the sea is 
36. 6000 m B. 3000 m 
37. 1500 m D. 375 m 
38. The fundamental frequency of vibration of a  sonometer wire may be halved by 
39. Doubling the length of the wire 
40. Doubling the mass of the wire 
41. Reducing the tension by half 
42. Reducing the absolute temperature by  half. 
43. A pipe of length 45 cm is closed at one end.  Calculate the fundamental frequency of the sound  wave generated in the pipe if the velocity ofsound  in air is 360 ms-1(Neglect end corrections). 
44. 55. Hz B. 148.5 Hz  C. 200.00Hz D. 550.0 Hz 
45. The note produced by a stretched string has a  fundamental frequency of 400 Hz. If the length of  the string is doubled while the tension in the string  is increased by a factor of 4, the frequency is 
46. 200Hz B. 400 Hz 
47. 800Hz D. 1600Hz 
48. To produce a parallel beam of light from a concave  mirror, the distance at which the lamp should be  placed from the mirror is equal to 
49. the focal length 
50. two times the focal length 
51. the distance of the image 
52. two times the radius of curvature.
    

711 

34. Light of frequency 6.0 x 1014 Hz traveling in airis  transmitted through glass of refractive index 1.5.  Calculate the frequency of the light in the glass.  A. 4.0 x 1014Hz 
35. 6.0x 1014Hz 
36. 7.5x 1014Hz 
37. 9.0x 1014Hz 
38. An object is placed in front of a converging lens  of focal length 200 cm. The image is virtual and  has a magnification of 2. what is the distance of  the object from the lens? 
39. 5 cm B. 10cm 
40. 30cm D. 40cm 
41. An object is placed directly below a glass block of  thickness 3.0 cm. Calculate the lateral displacement  of the object if the refractive index of the glass is  1.5 
42. 1.0 cm B. 1.5 cm 
43. 2.0 cm D. 2.5 cm 
44. In a projection lantern offocal length ƒ, the object  distance u, is such that 
45. u > 2ƒ > ƒ 
46. u < ƒ < 2ƒ 
47. u = ƒ < 2ƒ 
48. ƒ < u < 2ƒ 
49. Ifthe Nigerian flag (green, white, green) is viewed  in pure yellow light, which of the following set of  colours would be observed on the flag? 
50. Green, yellow,green 
51. Red, yellow,red. 
52. Black, yellow, black. 
53. Green, white, green. 
54. Which of the figures below illustrates the  dispersion of white light through a triangular glass  prism? 
55. Which of the following has the lowest internal  resistance when new? 
56. Leclanche cell. B. Danielcell. 
57. Accumulator D. Torchbattery. 
58. When biro pen rubbed on a dry silk cloth is moved  very closed to a piece of paper on a dry table, the  pen is found to pick up the paper. This isbecause A. Both the pen and the cloth aremagnetized B. The pen is magnetized but the cloth is  not 
59. The pen is charged while the cloth is  magnetized 
60. Both the pen and the cloth are charged. 42.

In the figure above, XY is of length 1m. The value  of R at balance point Z is 

3. 3.0 Ohms 
4. 13.3 Ohms 
5. 15.0 Ohms 
6. 30.0 Ohms 
7. Acapacitor 8 uF, is charged to a potential difference  of 100V. The energy stored by the capacitor is A. 1.0 x104J B. 8.0 x 10 J 
8. 1.25 x10J D. 4.0 x 10-2J 
9. Two resistors, R1 = 4Ohms and R2 = 5 Ohms, are  connected in parallel across a potential difference.  If P1 and P2 represent the power dissipated in R1 and R2 respectively, the ratio P1 😛2is 
10. 4 :5 
11. 5 :4 
12. 16 :25 
13. 25 :16
    

712 

In the circuit diagram above, calculate the current  in the 12 – Ohmsresistor if the cell has an e.m.f. of  12V and an internal resistance of 1 ohms. 

1. 0.8A B. 1.0A 
2. 1.6A D. 2.4A 
3. Which of the following are found in the receiver  but not in the microphone of a telephone handset? I Diaphragm 

II Soft iron ole pieces.  

III Permanent magnet.  

IV Carbon blocks 

1. I andII 
2. I andIV. 
3. II andIII 
4. III and IV. 
5. If two parallel conductors carry currents flowing  in the same direction, the conductors will 
6. Attract each other 
7. Repel each other 
8. Both move in the same direction 
9. Have no effect on each other. 
10. A certain radioisotope of 235U emits 92 

four alpha particles and three beta particles. The  mass number and the atomic number of the  resulting element respectively are 

1. 219 and 87 
2. 84 and 223 
3. 223 and 87 
4. 219 and 81 

In the curve above, PQRST represents an  alternating voltage frequency 50 Hz. The time  interval between point P and R on the graph is 

1. 25 s 
2. 1 S

50 

1. 1 S

100 

1. 1

S 

200 

50. If the light with photon energy 2 eV is incident  suitably on the surface of a metal with work  function 3 eV,then 
51. No electron will be emitted 
52. The few electrons emitted will have a  maximum kinetic energy of1 eV 
53. The few electrons emitted will have a  maximum kinetic energy of3 eV 
54. Many electrons will be emitted.
    

713 

Physics 1995 

1. Which of the following is the dimension of  pressure? 
2. ML-1T-2 B. MLT-2
3. ML2T-3 D. ML-3
4. The length of a displaced pendulum bob which  passes its lowest point twice every second is A. 0.25m B. 0.45m 
5. 0.58m D. 1.00m  

[g =10ms-2] 

In the diagram above, P, Q and R are vectors.Which  of the following options gives the correct  relationship between the vectors? 

1. P = Q + R B. P = Q – R C. P = R– Q D. P + Q + R = 0 

The value of T in the figure above is 

10. 10.0N B. 11.8N 
11. 20.0N D. 40.0N 
12. When a ball rolls on a smooth level ground, the  motion of its centre is 
13. Translational B. Oscillatory C. Random D. Rotational 
14. The velocity-time graph of a body moving in a  straight line and decelerating uniformly to rest is  represented by 

The acceleration of the system shown above is A. 2 ms-2 B. 4 ms-2 

1. 6 ms-2 D. 8 ms-2
2. What is the acceleration due to gravity ‘g’ on the  moon, if g is 10ms-2 on the earth? 
3. 0.10 ms-2 B. 0.74ms-2 C. 1.67 ms-2 D. 10.00 ms-2
4. A body is projected from the earth’s surface with  the intention of letting it escape from the earth’s  gravitational field. What is the minimum escape  velocity of the body? 
5. 14km s-1 B. 13 km s-1 C. 12 km s-1 D. 11 km s-1
   

714 

10. A uniform rod PQ of length 1m and mass 2kg is  pivoted at the end P. If a load of 14N is placed at  the centre of the rod, find the force thatshould be  applied vertically upwards at Q to maintain the rod  in equilibriumhorizontally. 
11. 68N B. 28N 
12. 17N D. 7 N  

[g = 10 ms-2] 

11. A vehicle of mass m is driven by an engine of  power P from rest. Find the minimum time it will  take to acquire a speed v. 
12. mv2

P 

1. mv2

2P 

1. mv

P 

1. mv

2P 

A box of mass 40 kg is being dragged along the  floor by a rope inclined at 600to the horizontal.  The frictional force between the box and the floor  is 100N and the tension on the rope is 300N. How  much work is done in dragging the box through a  distance of 4m? 

1. 680J B. 400J 
2. 200J D. 100J 
3. Which ofthe following statements are TRUE about  frictional force? 

I It is always a disadvantage 

II It is sometimes a disadvantage 

III It always exists where there is a relative  motion of two bodiesthat are in contact. 

IV It is sometimes very useful. 

14. The energy contained in a wire when it is extended  by0.02m by a force of 500 N is 
15. 5 J B. 10 J 
16. 103J D. 104J 
17. Which of the following levers has the greatest  mechanical advantage? 
18. A hydraulic press has a large circular piston of  radius 0.8m and a circular plunger ofradiu 0.2m. A  force of 500N is exerted by the plunger. Find the  force exerted on the piston. 
19. 8 000 N B. 4 000 N 
20. 2 000 N D. 31 N 
21. The volume of an air bubble increases from the  bottom to the top of a lake at constant temperature  because 
22. Atmospheric pressure acts on the surface of  the lake. 
23. Pressure increases with depth of the lake. C. Density remains constant with pressure 
24. The bubble experiences an upthrust. 
25. Temperature is a measure of the 
26. Quantity of heat transferred into the  molecules of an object 
27. Mean kinetic energy of any molecules of  the object 
28. Kinetic energy of any individual  molecules of the substance. 
29. Amount of work done by the molecules  of the object. 
30. A rectangular metal block of volume 10-6m3at 573K.  If its coefficient of linear expansion is 1.2-x-10-5K-1,  the percentage change of its volume is 
31. 1.5 % B. 1.1 % 
32. 0.4 % D. 0.1 %
    

715 

20. A piece of wood floats inside water at room  temperature with a fraction of it above the liquid  surface. As the temperature of the water is raised, 

the part of the wood above the density of liquid  will 

1. Decrease because the density of water  decreases with temperature. 
2. Increases because the density of water  decreases with temperature. 
3. Decreases because the density of water  increases with temperature 
4. Increase because the density of water  increases with temperature. 
5. The equation PxVyTz = constant is Charles’ law  when 
6. x = 1, y= -1, z = 1 
7. x = 0, y= 1, z = -1 
8. x = 1, y= 0, z = -1 
9. x = 0, y= 1, z = 1. 
10. An electric kettle with negligible heat capacity is  rated at 2000 W. If 2.0kg of water is put in it, how  long will it take the temperature of water to rise  from200Cto 1000C? 
11. 420s B. 336s 
12. 168s D. 84s. 

[specific heat capacity of water = 4200 J kg-1 K-1]. 

23. A temperature scale has a lower fixed point of40mm  and an upper fixed point of 200mm. What is the  reading on this scale when a thermometer read  600C? 
24. 33.3 mm B. 36.0 mm C. 96.0 mm D. 136.0 mm 
25. A quantity of ice at -100C is heated until the  temperature of the heating vessel is 900C. Which  of the following constant is NOT required to the  vessel? 
26. Specific heat capacity ofice 
27. Specific heat capacity ofwater 
28. Specific latent heat offusion 
29. Specific latent heat of vaporization. 
30. Which ofthe following statements give ‘the TRUE differences between evaporation and boiling 

I Evaporation occurs at all temperatures  while boiling occurs at a fixed temperature  

for a given pressure. 

II Evaporation is a surface phenomenon  while boiling is an interior phenomenon. 

III Evaporation is affected by surface areas  which boiling is not. 

1. I and IIonly 
2. I and IIIonly 
3. II and IIIonly 
4. I, II andIII. 
5. A well=lagged bar of length 100cm has its ends  maintained at 1000C and 400C respectively. What  is the temperature at a point 60cm from the hotter  end? 
6. 580C B. 620C 
7. 640C D. 760C 
8. Which of the following is the exclusive property  of a transverse wave? 
9. Diffraction B. Refraction C. Compression D. Polarization 
10. The wavelength of signal from a radio transmitter  is 1500m and the frequencyis 200kHz. What is the  wavelength for a transmitter operating at 1000kHz?  A. 7500m B. 300m 
11. 75 m D. 15 m 
12. The difference between sound waves and light  waves is that sound waves 
13. Are transverse while light waves are  longitudinal. 
14. Require a medium to travel while light  waves do not. 
15. Can be diffracted but light waves cannot D. Cannot be reflected but light waves can. 
16. Which of the diagrams below represents the  second overtone of a vibrating string fixed at both  ends? 
17. The pitch of an acoustic device can be increased  by 
18. Increasing the frequency 
19. Increasing the amplitude 
20. Decreasing the loudness 
21. Decreasing the intensity 
22. Total eclipse of the sun occurs when the A. Earth is between the moon and the sun B. Sun is between the moon and the earth C. Moon is between the sun and the earth D. Ozone layer isthreatened
    

716 

33. What is the approximate critical angle for total  internal reflection for diamond if the refractive  index of diamond is 2.42? 
34. 210 B. 220
35. 230 D. 240
36. Which of the graphs represents the relationship  between m and v for a convergingmirror? 
37. A real object is placed at a distance u cm in front of  a curved mirror of focal length fcm. If the image is  upright and magnified, then the mirror is 
38. Convex and u =2f 
39. Concave and u= 2f 

 f 

1. Convex and u =2 

 f 

1. Concave and u = 2 
2. Which of the following pairs of colours gives the  widest separation in the spectrum of white light? A. Red and violet 
3. Green and yellow 
4. Red and indigo 
5. Yellow andviolet. 
6. Two parallel plates at a distance of 8.0 x 10-3m apart  are maintained at p.d. of 600 volts with the negative  plate earthed. What is the electric field strength?  A. 4.8 Vm-1
7. 75.0Vm-1
8. 4800.0 Vm-1
9. 7,5000.0Vm-1
10. At different locations on the earth’s surface, the  earth’s magnetic fieldis 
11. The same in magnitude and direction 
12. The same in magnitude but different in  direction 
13. Different in both magnitude anddirection D. Different in magnitude but not indirection. 
14. If a resistance if halved in value and the potential  difference across it is tripled, then the ratio of the  new current to the old is 
15. 1 : 6 B. 1 : 3 
16. 2 : 1 D. 6 : 1
17. A 12-V battery has an internal resistance of 0.5  ohms. If a cable of 1.0 ohmsresistance is connected  across the two terminals of the battery, the current  drawn from the batteryis 
18. 16.0A B. 8.0A 
19. 0.8A D. 0.4A 
20. The diagram above shows two similar bulbs X and  Y connected to a suitable power supply with F as  an appropriate fuse rating. If the filament of X  breaks, then the 
21. Brightness of Y will reduce 
22. Brightness ofY will remain constant C. Brightness ofY will remain constant D. Fuse F will blow. 
23. The purpose of a dielectric material in a parallel  plate capacitor is to 
24. Increase its capacitance 
25. Decrease its capacitance 
26. Insulate the plates from each other 
27. Increase the magnetic field between the  plates. 

The resultant in the figure above is 

15. 15.0 uF B. 9.8 uF 
16. 1.3 uF 
17. 0.8 uF 
18. An electric current of 2 amperesflowsin a heating  coil ofresistance 50 ohmsfor 3 minutes 20 seconds.  Determine the heat produced. 
19. 0.5 kJ B. 8.0 kJ 
20. 20.0kJ D. 40. 0kJ 
21. If the maximum voltage across a 100-ohm resistor  is 20V, then the maximum power it can dissipate is  A. 5.00W B. 4.00W 
    

717 

2. 2.00W D. 0.25W 
3. Which of the following is required to convert a  milliammeterto an ammeter? 
4. A high resistance in parallel 
5. A high resistance in series 
6. A low resistance in parallel 
7. A low resistance inseries. 
8. The primarywinding of a transformer has 400 turns  and its secondary has 100 turns. If a source of e.m.f. of12Vis applied to the primary, the secondary e.m.f. will be 
9. 3 V B. 6 V 
10. 24V D. 48V 
11. An alternating source is connected in series to a  capacitor of capacityreactanceof 103 3 and  resistor of a resistance 103 Ohms. The impedance  of the circuit is 
12. 2000 3Ohms
13. 2000Ohms 
14. 1000 3Ohms
15. 1000Ohms 
16. The half-life of a radioactive element is 9 days.  What fraction of atoms has decayed in 36 days? A. 1

16 

1. 1

4 

1. 1

2 

1. 15

16 

50. A light of energy 5eV falls on a metal and the  electrons with a maximum kinetic energy of 2eV  are rejected. The work function ofthe metal is A. 0.4eV B. 2.5eV 
51. 3.0eV D. 7.0eV 
    

Physics 1997 

1. At what respective values of X, Y and Z would  the unit of force, the Newton, be dimensionally equivalent to MxLyTz? 
2. -1, 1, 2 
3. 1, 2, -2 
4. 1, -1, 2 
5. -1, 1, -2 
6. The distance xm traveled by a particle in time t  secondsis described by the equation x = 10 + 12t².  Find the average speed of the particle between the  time interval t =2s and t = 5s. 
7. 60 ms-1 B. 72 ms-1 C. 84 ms-1 D. 108 ms-1 
8. A 5kg block isreleased from rest on a smooth plane  inclined at an angle of 30o to the horizontal.  What is its acceleration down the plane? 
9. 5.0 ms-2 B. 5.8 ms-2 C. 8.7 ms-2 D. 25.0 ms-2 [g = 10 ms-2] 
10. An arrow of mass 0.1kg moving with a horizontal  velocity of 15 ms-1 is shot into a wooden block  of mass 0.4 kg lying at rest on a smooth  

horizontal surface. Their common velocity after  impact is 

15. 15.0 ms-1 B. 7.5 ms-1 C. 3.8 ms-1 D. 3.0ms-1
16. Two bodies X and Y are projected on the same  horizontal plane, with the same initial speed but at  angles 30o and 60o respectively to the horizontal.  Neglecting air resistance, the ratio of the range of  X tothat of Y is 
17. 1:1 B. 1 :2 
18. 3 : 1 D. 1 :3 
19. Which of the following with respect of a body  performing simple harmonic motion are in phase? A. Displacement and velocity of the body. B. Displacement and force on the body C. Velocity and acceleration f the body. D. Force acting on the body and the  acceleration. 
20. A body of mass 2 kg moving vertically upwards  has its velocity increased uniformly from 10 ms-1 to 40 ms-1in 4s. Neglecting air resistance,calculate  the upward vertical force acting on the body. 
21. 15N B. 20N 
22. 35N D. 45N 

[g = 10 ms-2] 

8. A planet has mass m1 and is at a distance r1 from  the sun. A second planet has mass m2 = 10m1 and  is at a distance of r2 = 2r1 from the sun.Determine 
   

718 

the ratio of the gravitational force experienced by the  planets. 

1. 1 : 5 B. 2 :5 
2. 3 : 5 D. 4 :5 
3. T = 5 3 F 3 
4. T =5F 
   
5. 12. An object of mass 100 g projected vertically upwards from the ground level has a velocity of 20  

ms-1at a height of 10 m. Calculate its initial kinetic  

energy at the ground level. 

1. 10 J B. 20 J 
2. 30 J D. 50J 

[g = 10 ms-2; neglect air resistance] 

13. An electric water pump rated 1.5 KW, lifts 200kg of  

water through a vertical height of 6 metres in 10  

seconds. What is the efficiency of the pump? 

For what value of Q are the forces in the diagram abovein  equilibrium? 

1. 15o B. 30o
2. 45o D. 60o

The figure above shows a block of mass m  

sliding down a rough inclined plane QP at angle Q. The forces acting on the block along the  

plane QP are 

1. mg sin Q and the normal reaction 
2. mg sin Q and the force of friction 
3. mg cos Q and the normalreaction 
4. mg cos Q and the force offriction. 

A uniform light bean XZ is hinged at X and kept in  equilibrium by the forces T and F as shown in the  diagram above. If XO = 20 cm and OY = 30cm,  express T in terms of F. 

1. T = 2 3 F

3 

1. T =2F 
2. 90.0% B. 85.0% 
3. 80.0% D. 65.0% 

[g = 10ms-2; neglect air resistance] 

è W 

For a rough inclined plane on which lies a body of  weight W, the angle è in the diagram above  becomes the angle of frictionif 

1. tan Q = coefficient ofstatic friction 
2. cos Q = coefficient of dynamic friction C. sin Q = coefficient ofsliding friction D. sec Q = limiting frictional force. 
3. A load of 20 N on a wire of cross-sectional area 8 x 10-7m-2, produces an extension of 10-4m.  Calculate Young’s modulus for thematerial of the  wire ifitslength is 3 m. 
4. 7.0 x 1011Nm-2
5. 7.5 x 1011Nm-2
6. 8.5 x 1011Nm-2
7. 9.0 x 1011 Nm-2
8. A cube of sides 0.1 m hangs freely from a string.  What is the up thrust on the cube when totally  immersed in water? 
9. 1000N B. 700N 
10. 110N D. 10N 

[Density of water is 1000 kg m-3, g = 10 ms-2]

719 

17. A piece of wire guaze can be made to lie on water  because 
18. the wire guaze is less dense than water B. the water moleculesrepel the wire guaze  upwards. 
19. the water surface has the effect of an  elastic thin skin 
20. of the cohesive forces between the  

water and the wire guaze molecules. 

18. A liquid of mass 1.0 X 103 kg fills rectangular tank  of length 2.5 m and width 2.0 m. If the tank is 4 m  high, what isthe pressure at the middle ofthe tank?  A. 1.0X 104 Nm-2
19. 2.0X 103 Nm-2
20. 1.5X 103 Nm-2
21. 1.0 X 103 Nm-2(g = 10m/52) 
22. An empty60 litre petrol tank has a mass of 10 kg. It  mass when full offuel of relative density 0.72 is A. 7.2 k B. 33.2 kg 
23. 43.2 k D. 53.2 kg 
24. The length of mercury thread when it is at 0oC,  100oC and at an unknown temperature è is 25 mm,  225mm and 174mm respectively.The value ofis A. 85.0oC B. 80.0oC 
25. 75.0oC D. 70.0oC 
26. Equal masses of copper and rubber are raised to  the same temperature. After sometimes, the copper  was observed to be at a lower temperature because A. the specific heat capacity of copper is  lower than that ofrubber 
27. copper expands more than rubber 
28. the specific heat capacity of rubber is  lower than that of copper 
29. rubber expands more than copper. 
30. Before starting a journey, the tyre pressure of a car  was 3 X 105 Nm-2at 27oC. At the end of the journey,  the pressure rose to 4 X 105 Nm-2. Calculate the  temperature of the tyre after the journey assuming  the volume is constant. 
31. 400oC B. 300oC 
32. 273oC D. 127oC 
33. A mass of a liquid at 300oC is mixed with a mass of  the same liquid at 70oC and the temperature of the  mixture is 45oC. Find the ratio of the mass of the  cold liquid to the mass of the other liquid. 
34. 3 : 5 B. 5 :3 
35. 3 : 7 D. 7 :3 
36. A heating coil rated at 1000 W is used to boil off 0.5 kg of boiling water. The time taken to boil off  the water is 
37. 1.15 X109s B. 1.15 X 107s C. 1.15 X105s D. 1.15 X 103s [Specific latent heat of vaporization of 

water = 2.3 X 106J kg-1] 

25. What happens when a certain quantity of pure ice  is completely changed towater at 0oC? 
26. Latent heat is absorbed, the massremains  constant and the volume decreases. 
27. Latent heat is given out, the massremains  constant and the volume decreases. 
28. Latent heat is given out, the mass  increases and the volume remains  

constant. 

1. Latent heat is absorbed, the mass  decreases and the volume increases. 
2. The correct cooling curve for a molten substance  such as naphthalene is represented by 
3. Temp. oC 

Time (min) 

Temp. oC 

Time (min) 

Temp. oC 

Time (min) 

27. What happens when a gas expands at a constant  temperature? 
28. It pressure decreases. 
29. The total momentum of its molecules  remains constant. 
30. Its pressure decreases and the total  momentum ofits molecules remains  

constant. 

1. Its pressure decreases and the total  

kinetic energy of its molecules  

decreases.

720 

28. Ripples on water and light waves aresimilar  because both 
29. have the same frequency 
30. can be refracted and diffracted 
31. are longitudinal waves 
32. have the same velocity. 
33. Under constant tension and constant mass per  unit length, the note produced by a plucked string  is 500 Hz when the length ofthe string is 0.90 m. At  3 

Sun 

what length is the frequency 150 Hz? 

1. 3m B. 4m 
2. 5m D. 6m 
3. The colours seen in thin films of oil on the road  and in soap bubbles are due to 
4. Reflection B. Interference C. Diffraction D. Polarization. 

The diagram above shows two waveforms P and  Q at a particular instant of time. The two waves  will interfere 

1. destructively to produce a wave of a  larger amplitude 
2. destructively to produce a wave of a  smaller amplitude 
3. constructively to produce a wave of a  larger amplitude 
4. constructively to produce a wave of a  smaller amplitude. 
5. If the load at the end of a sonometer wire is  immersed in a bucket of water, the original  fundamental frequency of the wire could be  restored by 
6. decreasing the length of the wire 
7. increasing the length of the wire 
8. increasing the mass per unit of the wire D. changing the temperature of the water. 
9. Moon Earth 

X 

When the sun, the moon and the earth are as  shown in the diagram above, an observer  

standing at X is in 

1. penumbra and sees a partial eclipse 
2. penumbra and sees a total eclipse 
3. umbra and seesa partial eclipse 
4. umbra and sees a total eclipse. 
5. A boy on looking into a mirror observed that his  face appeared to have grown bigger. The boy  must have been looking at a 
6. convex mirror with his face at the focus B. concave mirror with his facebetween  the focus and the mirror. 
7. concave mirror with his face at the  

focus 

1. convex mirror with his face between the  focus and themirror. 
2. Light of velocity 3.0 x 108 ms-1is incident on a  material ofrefractive index n. Ifthe velocityoflight  isreduced to 2.4 X 108 ms-1in the material, what is  n? 
3. 2.33 B. 2.25 
4. 1.33 D. 1.25 
5. A patient with a sight defect has a distance of  distinct vision of 150 cm. For him to be able to read  a material placed at a distance of 25 cm, what isthe  focal length of the glasses he should wear? 
6. 15.0cm B. 17.6cm 
7. 21.4cm D. 30.0cm 
8. The electromagnetic waves that are sensitive to  temperature changes are 
9. X-rays B. gamma-rays 
10. ultra-violet rays 
11. infra-red rays.
    

721 

In the diagram above, which of the anglesQ1, Q2,  Q , and Q is the angle of deviation of a ray of light 3 4 

through the glass prism, XYZ? 

1. Q3 B. Q2
2. Q1 D. Q4
3. Which of the figures below showed the correct  distribution of charges on an isolated positively  charged hollowmetal? 

respectively. Find the balance point from the left  side of the bridge. 

1. 20 cm B. 40 cm 
2. 60 cm D. 80 cm 
3. Two 50 uF parallel plate capacitors are connected  in series. The combined capacitor is then  connected across a 100-V battery. The charge on  each plate of the capacitor is 
4. 5.00 X 10-5C B. 2.50 X 10-3C C. 1.25 X 10-3C D. 1.00 X10-2C 
5. What is the total electrical energy consumed by  using an electric cooker rated 1000 W for 5 hrs?  A. 5.3 X103J B. 6.5 X 103J  C. 1.8 X107J D. 2.3 X 107J 

4.6 The power dissipated in an a.c. circuit with an r.m.s. current of 5A, r.m.s. voltage of 10 V and a 

1. + + 

+ + ++ + + + 

+ + ++ 

1. + + + 

+ 

+ 

+ 

phase angle of 60ois 

1. 25 W B. 50 W C. 120 W D. 125 W 
   

+ 

+ ++ 

+++ 47. The voltage of the domestic electric supply is  represented by the equation 

1. D. + + 

+ +++++++ 

V = 311 sin 314.2t. 

Determine the frequency of the a.c. supply.  

+ 

+ 

+ 

+ 

+ 

+ + 

50. 50.0 Hz B. 100.0Hz C. 311.0Hz D. 314.2Hz [ = 3.142] 
51. In a purely inductive circuit, the current 
    
52. Three electric cells each of e.m.f. 1.5V and internal  resistance 1.0 Ohms are connected in parallel  across an external resistance ofT Ohms!. Calculate  the value of the current in the resistor. 
53. 0.5 A B. 0.9 A 
54. 1.5 A D. 4.5 A 
55. A galvanometer ofinternal resistance 50 Ohms has  a full scale deflection for current of 5 mA. What is  the resistance required to convert it to a voltmeter  with fullscale deflection of 10V? 
56. 1 750 Ohms B. 1 950 Ohms C. 2 000 Ohms D. 2 500 Ohms 
57. If 8 X 10-2J of work is required to move 100 ìC of  charge from a point X to a point Y in an electrical  circuit, the potential difference between X and Y  if 
58. 4.0 X 102 V B. 4.0 X 104 V C. 8.0 X 102 V D. 8.0 X 104 V 
59. In a metre bridge experiment, two resistors 2 &!  and 3 Ohms occupy the left and right gaps 
60. lags behind the voltage in phase by 90o B. lead the voltage in phase by 90o
61. is in the same phase with the voltage D. leads the voltage by 180o. 
62. One of the features of the fission process is that A. Its products are not radioactive 
63. It leads to chain reaction 
64. Neutrons are not released 
65. The sum of the masses of the reactants  equals the sum of the masses of the  

products. 

50. The graphite rods surrounding the uranium fuel  rods in a nuclear reactor, are used to 
51. Absorb the neutrons and hence halt the  nuclear process 
52. Create the neutrons and hence start up  the nuclear process. 
53. Slow down the neutrons and hence  sloe\w the nuclear process. 
54. Speed up the neutrons and hence speed  up the nuclear process. 
    

722 

Physics 1998 

1. The physical quantity that has the same  dimensions as impulseis 
2. Energy B. Momentum C. Surface tension D. Pressure. 
3. A ball is moving at 18ms-1in a direction inclined  at 600to the horizontal. The horizontal  

component of its velocity is 

9 3ms-1 

1. B. 6 3ms-1 C. D. 9ms-1

6 3ms-1 

A body on the ground is acted on by a force of  10N at a point P as shown in the diagram above.  What force is needed to stop the bodyfrom moving  eastward? 

1. 5N in the direction of East 
2. 5N in the direction ofWest 
3. 5″3N in the direction ofWest. 
4. 10N in the Southwestdirection. 
5. In free fall, a bodyof mass 1kg dropsfrom a height  of125m fromrest in 5s. Howlong will it take another  body of mass 2kg to fall from rest from the same  height? 
6. In an experiment, a constant force is applied to  several masses (m) and the corresponding  accelerations (a) are measured. Which of the  following graphs correctly represents the  experiment? 
7. III and IV only 
8. II and IVonly 
9. I and IIIonly 
10. I and IIonly 
11. A uniform metre rule weighting 0.5N isto be pivoted  on a knife-edge at the 30cm-mark. Where will a  force of 2N be placed from the pivot to balance the  metre rule? 
12. 95cm B. 25cm 
13. 20cm D. 5cm 
14. A bullet fired at a wooden block ofthickness 0.15m  manages to penetrate the block. If the mass of the  bullet is 0.025kg and the average resisting force of  the wood is 7.5 x 103N, calculate the speed of the  bullet just before it hits the wooden block. 
15. 450ms-1 B. 400ms-1
16. 300ms-1 D. 250ms-1
17. A man whose mass is 80kg climbs a staircase in  20s and expends a power of 120W. Find the height  of the staircase. 
18. 55 B. 105 A. 1.8m B. 2.0m C. 125 D. 155 C. 2.5m D. 3.0m (g = 10ms-2) 

[g = 10ms-2] 

5. A ball of mass 0.15kg is kicked against a rigid  vertical wall with a horizontal velocity of 50ms-1,  calculate the impulse ofthe ball on the wall. 
6. 3.0Ns B. 4.5Ns 
7. 7.5Ns D. 12.0Ns 
8. The force of attraction between two point masses  is 10-4N when the distance between them is 0.18m.  If the distance is reduced to 0.06m, calculate the  force. 
9. 1.1 x 10-5N B. 3.3 x 10-5N C. 3.0 x 10-4N D. 9.0 x 10-4N
10. A parachute attains a terminal velocity when A. Its density is equal to the density of air B. The viscous force of the air and the  upthrust completely counteract its  

weight. 

1. It expands as a result of reduced external  pressure 
2. The viscous force of the is equal to the  sum of the weight and upthrust. 
   

723 

12. In a wheel and axle mechanism, the diameters of  the wheel and axle are 40cm and 8cm respectively.  Given that the machine is 80% efficient, what effort  isrequired to lift a load of 100N? 
13. 20N B. 25N 
14. 50N D. 80N 
15. The tendon in a man’sleg is 0.01m long. If a force  of 5N stretches the tendon by 2.0 x 10-5m, calculate  the strain on the muscle. 
16. 5×106 B. 5×102
17. 2 x 10-3 D. 2 x 10-7
18. Which of these statements are correct for the  pressures in liquids? 

I Pressure in a liquid at a point acts equally  in all directions 

II Pressure increases with depth 

III Pressure at a depth depends on the shape  of the container. 

IV Pressures at the same depth in different  liquids are proportional to the densities  

of the liquids. 

1. I, II and IIIonly 
2. I, II and IVonly 
3. I, III and Iv only 
4. II, III and IVonly. 
5. The atmospheric pressure due to water is 1.3 x 106 Nm-2. What is the total pressure at the bottom of  an ocean 10m deep? 
6. 1.3x 107Nm-2 B. 1.4x 106Nm-2 C. 1.4x 105Nm-2 D. 1.0x 105Nm-2
7. A solid of weight 0.600N istotally immersed in oil  and water respectively. If the upthrust in oil is  0.210N and the relative density of oil is 0.875 find  the upthrust in water. 
8. 0.6000N B. 0.360N 
9. 0.240N D. 0.180N 
10. A platinum resistance thermometer records 3.0Ù  at 00C and 8.0 Ù at 1000C. If it records 6.0Ù in a  certain environment, the temperature of the medium  is 
11. 800C B. 600C 
12. 500C D. 300C 
13. The linear expansivity of brass is 2 x 10-5C-1. If the  volume of a piece of brassis 15.00 cm3at 00C, what  isthe volume at 1000C? 
14. 16.03cm3 B. 16.00cm3 C. 15.09cm3 D. 15.03cm3

attained, calculate T. 

1. 330C B. 600C 
2. 870C D. 1140C 
3. A 500W heater is used to heat 0.6kg of water from  250C to 1000C in t seconds. If another 1000W heater  1 

is used to heat 0.2kg ofwater from 100C to 1000C in  t2 seconds, find t1 .t2 

1. 50 B. 5 
2. 5/ D. 1/ 

4 5

21. How many grams of water at 170C must be added  to 42g ofice at 00C to melt the ice completely? A. 200g B. 300g 
22. 320g D. 400g 

[Specific latent heat of fusion of ice = 3.4 x 105Jkg-1,  Specific heat capacity of water = 4200 Jkg-1K-1] 

22. A vapour is said to be saturated when 
23. More molecules return to the liquid than  the amount that left it. 
24. A dynamic equilibrium exist between the  molecules of the liquid and the vapour  

molecules at a giventemperature. 

1. The vapour pressure is equal to the  atmospheric pressure 
2. All molecules are moving with the same  speed in all directions at a given  

temperature. 

23. One valid assumption ofthe kineic theory of gases  is that 
24. the molecules of a gas are constantly in state  of motion and the number of collisionsremain  constant. 
25. The number ofmolecules of gas increases with  increasing pressure 
26. As the temperature increases, the number of  collisions made by the gas molecules remain  constant. 
27. The molecules of gas are all identical and are  very small insize. 
28. The physical properties of sound waves can best  be described by 
29. Reflection and diffraction 
30. Polarization and reflection 
31. Polarization and diffraction 
32. Polarization and refraction 
33. The velocity of a sound wave at 270C is 360ms-1.  Its velocity at 1270C is 

120 3ms-1 

1. B. 

240 3ms-1 

19. A gas has a volume of100cm3at 270C. Ifit is heated C. D.  to temperature T until a final volume of 120cm3is 

240ms-1 720 3ms-1 

724 

26. In a closed organ pipe producing a musical note,  an antinode will always be produced at 
27. The closed end 
28. The open end 
29. The middle 
30. All the parts of the pipe. 
31. A steel wire of length 0.50m is stretched between  two fixed points and its fundamental frequency is  200Hz. The speed ofthe wave in the wire is 
32. 100ms-1 B. 120ms-1
33. 200ms-1 D. 250ms-1
34. In a resonance tube experiment, if the fundamental  frequencyofthe vibrating air column is 280Hz, the  frequency of the third overtones is 
35. 70Hz B. 840Hz 
36. 1120Hz D. 1960Hz 
37. An object O lies at a distance m in front of a  concave mirror of the focal length f. If m<f, then  the final image obtained will be 
38. Virtual and diminished 
39. Magnified and erect 
40. Real and inverted 
41. Diminished and erect. 
42. An object is placed in front of two plane mirrors  inclined at an angle è0. Ifthe total number ofimages  formed is 7, find the value of è? 
43. 300 B. 450
44. 510 D. 900
45. The most suitable type of mirror used for the  construction of a searchlight is the 
46. Concavemirror 
47. Convexmirror 
48. Spherical mirror 
49. Parabolic mirror. 
50. The displacement d produced in a glass block of  thickness t and refractive index n when an object  is viewed through it is 
51. t – n B. t(1 + 1/ ) 

n 

1. t(1 –1/ ) D. t(1/ –1) 

n n 

33. The correct shape of the graph of uv against (u + v) for an object distance u and image distance  v in n experiment to find the focal length of a convex  lens is given as 
34. A man wears convex lens glasses of focal length  30cm in order to correct hiseye defect. Instead of  the optimum 25cm, his least distance of distinct  vision is 
35. 14cm B. 28cm 
36. 75cm D. 150cm 
37. Which of the following are true about infra-red  radiation? 

I It isinvisible 

II It is called heatray 

III Its frequency is higher than that ofblues  light 

IV It travels as a transverse wave. 

1. I, II,III and IV. 
2. I, II and Ivonly 
3. I, III and IVonly. 
4. II, III and IVonly. 
5. The force of repulsion between two pointpositive  charges 5uC and 8uC separated at a distance of  0.02m apartis 
6. 1.8 x 10-10N B. 9.0 x 10-8N  C. 9.0x 102N D. 4.5x 103N 
7. An ebonite rod rubbed with fur attracts a glass  rod rubbed with silk because 
8. Ebonite has a negative charge while glass has  a positive charge 
9. Ebonite has a positive charge while glass has  a negative charge 
10. Both have negative charges 
11. Both have positive charges. 
12. Which of the following diagrams show the  correction ofthe magnetic lines offorce of a vertical  wire XY carrying a current I? 
13. Which ofthe following can be used to reduce local  action in a Leclanche cell? 
14. A carbon rod as the positive pole. 
15. Pure zinc as the negative pole. 
16. Potassium permanganate solution in  contact with the positive pole. 
17. Common salt solution.
    

725 

The total resistance measured at PQ in the diagram  above is 

18. 18.0Ohms B. 11.0 Ohms C. 4.0 Ohms D. 2.0 Ohms 
19. Find the work done in moving a 2C charges between  two points X and Y in an electric field if the  potential difference is 100 volts. 
20. 50J B. 100J 
21. 200J D. 400J 
22. A parallel capacitor has a common plate area of 5 x  10-8m-2and plate separation of 2 x 103m. Assuming  free space, what is the capacitance? 
23. 2.25 x10-17F 
24. 4.50 x10-17F 
25. 2.25 x10-16F 
26. 4.50 x10-16F 
27. The iron core of an induction coil is made from  bundles of wires so as to 
28. Minimize eddy-currents 
29. Generate eddy-currents 
30. Prevent sparking at the contact breaker D. Get the greatest possible secondary  voltage. 
31. Electricity is supplied to a school along a cable of  total resistance 0.5 Ù with the maximum current  drawn fromthe mains as 100A. the maximumenergy  dissipated as heat for 1hr is 
32. 3.6 x 103J B. 5.0 x 103J  C. 3.0 x 105J D. 1.8 x 107J 
33. 5000ðHz 
34. 2500ðHz 
35. 5000/ðHz 
36. 2500/ðHz 
37. A transformer which can produce 8V from a 240V a.c. supply, has an efficiency of 80%. If the current  in the secondary coil is 15A, calculate the current  in the primarycoil. 
38. 0.625A B. 1.600A 
39. 2.500A D. 6.250A 
40. The electrochemical equivalent ofmetal is 1.3 x 10– 7kgC-1. The mass of the metal which 2.0 x 104Cof  electricity will deposit from a suitable electrolyte  is 
41. 6.5x 10-2kg B. 2.6 x 10-2kg  C. 6.5x 10-3kg D. 2.6x 10-3kg 
42. A radioactive substance has a half-life of 80 days.  Ifthe initial number of atoms in the sample is 6.0 x  1010, how many atoms would remain at the end of  320 days? 
43. 3.75x 109 B. 7.50x 109 C. 3.00 x 1010 D. 5.63 x1010
44. In a nuclear fusion experiment, the loss of mass  amounts to 1.0 x 10-6kg. The amount of energy  obtained from the fusion is 
45. 3.0x 10-4J 
46. 3.0x 10-1J 
47. 9.0 x104J 
48. 9.0 x1010J 

[Speed of light = 3.0 x 108ms-1] 

50. In photoelectric effect, electrons will leave the  metal surface when illuminated by light of  appropriate frequency if the photon energy is A. Greater than the workfunction. 
51. Less than the work function 
52. Equal to the workfunction 
53. Equal to the maximum kinetic energy of  
    

In the a.c. circuit diagram above, the resonance  frequency is 

the electrons.

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Physics 1999 

1. A car of mass 800kg attains a speed of 25ms-1in 20  seconds. The power developed in the energy is A. 1.25 x 104 W B. 2.50 x 104W C. 1.25 x 106 W D. 2.50 x 106 W 
2. A lead bullet ofmass 0.05kg is fired with a velocity  of 200ms-1into a lead block ofmass 0.95 kg. Given  that the lead block can move freely, the final kinetic  energy after impactis 
3. 50 J B. 100 J 
4. 150 J D. 200 J 
5. A ball of mass 0.1kg is thrown vertically upwards  with a speed of 10 ms-1from the top of a tower 10m  high. Neglecting air resistance, itstotal energy just  before hitting the ground is 
6. 5 J B. 10 J 
7. 15 J D. 20 J  

[g = 10ms-2]. 

4. The figure above represents a frictionless pulley  system in which a weight W is in equilibrium with  a weight of 40N. Find the value of W 
5. 13.1N B. 20.0N 
6. 40.0N D. 80.0N 
7. The diagram above shows a solid figure with base  PQ and centre gravity G on an inclined plane.  Which of the following statements is correct? A. The solid will fall over if the vertical line  through G lies outside the base. 
8. The solid will fall over if the vertical line  through G lines inside thebase. 
9. The solid will not fall over if thevertical  line through G lies outside thebase. 
10. The solid can never fallover. 
11. Two bodies have masse in the ratio 3 : 1. They  experience forces which impart to them  accelerations in the ratio 2: 9 respectively. Find the  ratio of the forces themasses experience. 
12. 1 :4 
13. 2 :1 
14. 2 :3 
15. 2 : 5. 

The diagram above shows the velocity-timegraph  of a vehicle. Its acceleration and retardation  respectively are 

8. 8.0 ms-2, 4.0ms-2, 
9. 4.0 ms-2, 8.0ms-2, 
10. 4.0 ms-2, 2.0ms-2, 
11. 2.0 ms-2, 4.0 ms-2
12. A particle of mass 10-2kg is fixed to the tip of a fan  blade which rotates with angular velocity of 100  rad s-1. If the radius of the blade is 0.2m, the  centripetal force is 
13. 2 N B. 20 N 
14. 200N D. 400N 
15. The inner diameter of a small test tube can be  measured accurately using a 
16. Micrometer screw guage 
17. Pair ofdividers 
18. Metre rule 
19. Pair of vernier calipers. 
20. A gas at a volume V0in a container at pressure P0,  is compressed to one fifth of its volume. What will  be its pressure if it maintains its original  temperature T? 
21. Po/5
22. 4/5 P0
23. P0
24. 5P0
25. A piece ofsubstance of specific heat capacity 450  J kg-1 K-1falls through a vertical distance of 20m  from rest. Calculate the rise in temperature ofthe
    

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substance on hitting the ground when all its  

energies are converted into heat. 

1. 2/90C B. 4/90C 
2. 9/40C D. 9/20C  

[g = 10ms-2]. 

The diagram above shows a lift pump with valves  at P and Q. during a downward stroke ofthe piston, A. Both valves are open 

1. P is open while Q is closed 
2. P is closed while Q isopen 
3. Both valves are closed. 

In the J – tube above, Y and X are on the same  horizontal level and 30cm3 of air is trapped above  Y when the atmospheric pressure is 75cm Hg.  Calculate the volume of air trapped above Y when  15cm Hg is now poured into the limb aboveX. 

1. 15cm3 B. 25cm3
2. 35cm3 D. 45cm3
3. I. A liquid boils when its saturated vapour pressure is equal to the external  

pressure. 

1. Dissolved substances in pure water lead  to increase in theboiling point. 

III. When the external pressure is increased,  the boiling point increases. 

IV Dissolved substances in pure water  decrease the boiling point. 

Which combination of the above are peculiarities  of the boiling point of a liquid? 

1. I, II andIII 
2. I, II,III and IV 
3. I, II andIV 
4. II, III andIV. 
5. When the temperature of a liquid is increased, its  surface tension 
6. Decreases B. Increases C. Remains constant 
7. Increase then decreases. 
8. When the brakesin a car are applied, the frictional  force on the tyres is 
9. A disadvantage because it is in the direction  of motion of the car 
10. A disadvantage because it is in the opposite  direction of motion of the car. 
11. An advantage because it is in the direction of  motion of the car. 
12. An advantage because it is in the opposite  direction of motion of the car. 
13. The lowest note emitted by a stretched string has  a frequency of 400Hz. How many overtones are  their between 40Hz and 180 Hz? 
14. 4 B. 3 
15. 2 D. 1 
16. A man stands 4m in front of a plane mirror. If the  mirror is moved 1m towards the man, the distance  between him and hisimage is 
17. 3m B. 5m 
18. If the stress on a wire is 107 Nm-2and the wire is  stretched fromits original length of 10.00cm to 10.05  cm. The young’s modulus of the wireis 
19. 5.0x 104Nm-2 B. 5.0x 105Nm-2 C. 2.0x 108Nm-2 D. 2.0x 109Nm-2
20. A solid weights 10.0N in air, 6.0 N when fully  immersed in water and 7.0 N when fully immersed  in a certain liquid X. Calculate the relative density  of the liquid. 
21. 5/3 B. 4/3 
22. ¾ D. 7/10 
23. 6m D. 10m 
24. If a sound wave gors from a cold-air region to a  hot-air region, its wavelength 
25. Increase 
26. Decrease 
27. Decrease then increase 
28. Remain constant 
29. The inside portion ofpart of a hollowmetalsphere  of diameter 20cmis polished. The portion will
    

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therefore forma 

1. Concave mirror offocal length 5 cm 
2. Concave mirror offocal length 5 cm 
3. Convex mirror offocal length 5 cm 
4. Convexmirror offocal length 20cm. 
5. The equation of a wave traveling along the positive  x-direction is given by y = 0.25 x 10-3sin (500 t – 0.025 x). Determine the angular frequency of the  wave motion, 
6. 0.25 x 10-3rad s-1
7. 0.25 x 10-1rad s-1
8. 5.00 x 102rads-1
9. 2.50 x 102rads-1
10. Calculate the mass of ice that would melt when  2kg of copper is quickly transferred from boiling  water to a block of ice without heat loss 
11. 8/33kg B. 33/80kg 
12. 80/33kg D. 33/8kg  

[Specific heat capacity of copper = 400 J kg-1 K-1;  Latent heat of fussion of ice = 3.3 x 105J kg-1] 

The diagram above represents a transverse  electromagnetic wave traveling with speed 3.0 x  108ms-1. What is the frequency of the wave? 

3. 3.0x 107Hz 
4. 90x 107Hz 
5. 1.0 x 109Hz 
6. 3.0 x 109Hz 
7. The temperature gradient across a copper rod of  thickness 0.02m, maintained a two temperature  junctions of 200C and 800C respectively is 
8. 3.0 x102Km-1 B. 3.0 x 103Km-1 C. 5.0 x103Km-1 D. 3.0x 104Km-1

The diagram above showa magnet X with its South  pole moved along a soft-iron bar PQ in the direction 

shown. After some time, the poles at P and Q  respectively are 

1. North – North 
2. North – South 
3. South – North 
4. South – South 
5. Four cells each of e.m.f. 1.5 V and internal resistance  of 4 Ohms are connected in parallel. What is the  effective e.m.f. and internal resistance of the  combination? 
6. 6.0V, 16Ohms 
7. 6.0V, 1Ohms 
8. 1.5V, 4Ohms 
9. 1.5V, 1Ohms 

In the circuit above, the ammeter reads a current of 5.0 A when R = 8 Ohms and reads 7.0 A when R= 5 Ohms. The value ofthe unknown resistance  X is 

10. 10.0Ohms B. 7.5 Ohms C. 5.0 Ohms D. 2.5 Ohms 
11. An astronomical telescope is said to be in normal  adjustment when the 
12. Eye is accommodated 
13. Focal length of objective lens is longer  than that of eye piece 
14. Final image is at the near point of eye D. Final image is at infinity. 
15. Steel is more suitable for permanent magnet than  iron because the former 
16. Is easily demagnetized byshaking vigorously B. Is an alloy of many metals 
17. Is easily magnetized by alternating current  through one cycle 
18. Retains magnetism more than iron.
    

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The diagram above shows the prism arrangement  

in a 

1. Binocular B. Spectrometer 
2. Penscope D. Projector 
3. The velocities offlight air and glass are 3.0 x 108ms  and 2.0 x 108ms-1respectively. If the angle of  

refraction is 300, the sine of the angle of incidence  

is 

In the circuit above, the potential across each  capacitor is 100V. The total energy stored in the  two capacitors is 

3. 3.0 x104J B. 3.0 x 102J C. 2.5x 10-2J D. 6.0 x 10-3J 
   
5. 0.33 B. 0.50 C. 0.67 D. 0.75 

In the series a.c. circuit shown above, the p.d  acrossthe inductor is 8Vr.m.s. The effective voltage  is 

39. At what frequency would a 10 H inductor have a  reactance of 2000 ohms? 
40. ð/200Hz B. ð/ 100Hz 
41. 100/ Hz D. 100ðHz 

ð 

40. A 3000 W electric cooker is to be used on a 200V  mains circuit. Which of the fuses below can be  used safely with the cooker? 
41. 2A B. 5A 
42. 10A D. 20A 
43. A galvanometer has a resistance of 5 Ù. Byusing  a shunt wire of resistance 0.05 Ù, the galvanometer  could be converted to an ammeter capable of  reading 2 A. What is the current through the 

galvanometer? 

1. 2V B. 10V A. 2 mA B. 10 mA C. 14V D. 48V C. 20 mA D. 25 mA 
   
2. The core of an efficient transfoemer should consist  oflaminated pieces of metal in order to 
3. Increase the heat produced by increasing the  eddy current 
4. Increase the heat produced by reducing the  eddy current 
5. Reduce the heat produced by increasing the  eddy current 
6. Reduce the heat produced by reducing the  eddy current. 
7. In Fleming’s right-hand rule, the thumb, the  forefinger and the middle finger if held mutually at  right angles represent respectively, the 
8. Motion, the field and induced current 
9. Induced current, the motion and the field C. Fireld, the induced current and the motion D. Induced current, the field and the motion. 

In the diagram above, if the internal resistance of  the cell is zero, the ratio of the power P1 and P2  dissipated by R1 and R2 respectively, is 

1. R2

R1 

1. R1

R2 

1. R1 + R2

R1 

1. R1 + R2

R2

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43. If x is the uncertainty in the measurement of  the position of a particle along the x-axis and “Px is  the uncertainty in the measurement of the linear  momentum along the x-axis, then the uncertainty  principle relation is givenas 
44. x Px >h
45. x Px = 0
46. x Px < h
47. x Px =00 
48. Na + Proton X + alpha particle. What are the  values of p and q respectively in the equation  above? 
49. 10 and 20 B. 12 and 24  C. 20 and 10 D. 24 and 12. 
50. A semi-conductor diode is used in rectifying  alternating current into direct current mainly  because it 
51. Allows current to flowin either direction B. Is non-linear 
52. Offers a high input resistance 
53. Allows current to flow only in one direction. 
54. In semi-conductors, the carriers of current at room  temperature are 
55. Electrons only 
56. Electrons and holes 
57. Holes only 
58. Electrons and ions 
59. What is the speed of a particle of mass 10-27kg  whose wavelength is 10-8m? 
60. 6.63 ms-1 B. 66.30 ms-1 C. 663.00 ms-1 D. 6630.00 ms-1

(h = 6.63 x 10-34 JS) 

48. In a series R-L-C circuit at resonance, the voltages  across the resistor and the inductor are 30 V and  40 V respectively. What is the voltage across the  capacitor? 
49. 30V B. 40V 
50. 50V D. 70V 
51. Gamma rays are produced when 
52. High velocity electrons are abruptly stopped  in metals 
53. Energy changes occur within the nucleus  atoms 
54. Energy changes occur within the electronic  structure of atoms 
55. Electrons are deflected in very strong  magnetic fields. 
56. In the Rutherford scattering experiment, a beamof  alpha particles was fired at a thin gold film with  some of the particles being considerably deflected.  This shows that 
57. A gold nucleus contains protons, nuietrons  and electrons uniformly distributed in a tiny  volume. 
58. The gold nucleus is positively charged andis  concentrated in a tiny volume 
59. The gold nucleus emitted alphaparticles D. The gold nucleus is concentrated in a tiny  volume and contains alpha particles. 
    

Physics 2000 

1. A catapult used to hold a stone of mass 500gis 3. I. The frictional force is extended by 20cm with an applied force f. If the independent of the area of the surfaces stone leaves with a velocity of 40 ms-1, the value in contact, 

of F is II The frictional force depends on the A. 4.0 x104N B. 4.0 x 103N nature of the surfaces in contact C. 2.0 x103N D. 4.0 x 102N III The frictional force depends on the speed  sliding 

2. A hand bag containing some load weighting 162N  is carried by two students each holding the handle  ofthe bag next to him. If each handle is pulled at 60  to the vertical, find the force on each student’s 

IV The frictional force is directly  proportional to the normal reaction 

Which combination of the above is true of sliding  friction? 

arm 

1. 324 N B. 162 N C. 121 N D. 81 N
2. C. 

I, II and IV I, III and IV 

1. D. 

I, II and III II, III and IV. 

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4. When a ship sails from salt water into fresh water,  the friction of its volume above the water surface  will 
5. Remain the same 
6. Increase 
7. Decrease 
8. Increase then decrease. 
9. A simple pendulum has a period of 17.0s. When  the length is shortened by 1.5m, its period is 8.5s.  Calculate the original length of the pendulum. A. 1.5m B. 2.0m 
10. 3.0m D. 3.0m 
11. At a fixed point belowa liquid surface, the pressure  downward is P1 and the pressure upward is P2. It  can be deduced that 
12. A stream isflowing at 0.75ms-1and at boat heading  perpendicular for the stream landed at the opposite  bank at an angle 300. Calculate the velocity of the  boat. 
13. 0.65ms-1 B. 0.86ms-1 C. 1.00ms-1 D. 1.50ms-1
14. I. Coherence 

II Same frequency 

III Same wavelength 

IV Same intensity. 

Which of the conditions above are necessary to  produce interference fringes? 

1. I, II and III B. I, II andIII C. I, II and IV D. II andIII. 
2. An engineer intends to deviate a light ray from its 
   
3. P = P B. P > P path 1200through reflection from plane mirror. 
   

1 2 1 2 

1. P1< P2 D. P1 > P2
2. I. Its velocity is constant 

II No work is done on the body 

III It has constant acceleration away from  

the center 

IV The centripetal force is directed towards  the center. 

Which combination of the above is true of a body  moving with constant speed in a circular track? 

1. I and III B. I andIV 
2. II and III D. II and IV 
3. The velocity v of a particle in a time t is given by  the equation v = 10+2t2. Find the instantaneous  acceleration after 5 seconds. 
4. 10 ms-2 B. 15 ms-2
5. 20 ms-2 D. 60 ms-2
6. If the force and the velocity on a system are each 

Calculate the angle of incidence. 

1. 200 B. 300 C. 400 D. 600

Days 1 Day 2 Day 3 

Dry 300C 290C 250C Wet 220C 220C 210C 

The readings above are for three consecutive days  from a wet and dry bulb hygrometer. It can be  concluded that the relative humidity for the three  days 

1. Increased ssteadily 
2. Remained unchanged 
3. Was least on day 1 
4. Decrease steadily 

reduced simultaneously by half, the power of the  system is 

1. Doubled B. Constant C. Reduced to a quarter 
2. Reduced by half. 
3. The velocity ratio of a machine is 5 its efficiency is  75%. What effort would be needed to lift a load of  150N with the machine? 
4. 50N B. 40N 
5. 30N D. 20N 
6. A rope is being used to pull a mass of 10kg  verticallyupward. Determine the tension in the rope  if, starting from resr, the mass acquires a velocity  of 4ms-1in8. 
7. 105 N B. 95 N 
8. 50 N D. 5 N
9. Total internal reflection occurs when light moves  from 
10. Air to water 
11. Water to glass 
12. A dense medium to a less dense medium D. A less dense medium to a dense medium 
13. One end of a long wire is fixed while vibrator is  attached to the other end. When the vibrator is  energized, the types of waves generated in the  wire are 
14. Stationary and transverse 
15. Progressive 
16. Stationary and longitudinal 
17. Progressive and longitudinal. 
    

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18. A sonometer wire is vibrating at frequency f0. If  the tension in the wire is doubled while the length  and the mass per unit length are kept constant, the  new frequency of vibration is 
19. f0

2 

1. 2 f0
2. f02 
3. f0 2 
4. A boy observes a piece of stone at the bottom of a  river 6.0m deep. If he looksfrom the surface ofthe  river, what is the apparent distance of the stone  fromhim. 
5. 4.5m B. 5.0m 
6. 5.5m D. 8.0m 
7. A metal of mass 0.5kg is heated to 1000C and then  transferred to a well-lagged calorimeter of heat  capacity 80J K-1containing water of heat capacity  420JK-1at 150C. If the final steady temperature of  the mixture is 250C, find the specific heat capacity  of the metal 
8. 92 J kg –1 K-1 B. 133 J kg –1 K-1 C. 286 J kg –1 K-1 D. 887 J kg –1 K-1
9. Thediagram aboveshowsa maximum andminimum  thermometer divided into three portions P, Q and R. Which of the following is true about the  

respective contents of P, Q and R? 

1. Alcohol, mercury andalcohol 
2. Air, alcohol andmercury 
3. Mercury, alcohol and mercury 
4. Air, mercury andalcohol. 
5. The main reason for making the cover of a vacuum  flask airtight is to prevent heat loss by 
6. Conduction B. Evaporation C. Radiation D. Convection 
7. A travelling wave moving from left to right has an  amplitude of 0.15m, a frequency of 550Hz and a  wavelength of 0.01m. The equation describing the  wave is 
8. y= 0.15 8In 200 ð (x – 5.5t) 
9. y= 0.15 8In ð (0.01x – 5.5t) 
10. y= 0.15 8In 5.5 ð (x – 200t) 
11. y= 0.15 8Inð (550 x – 0.01t) 
12. A transverse wave is applied to a string whose  mass per unit is 3 x 10-2kgm-1. If the string is under  a tension of 12N, the speed of propagation of the  wave is 
13. 40ms-1 B. 30ms-1
14. 20ms-1 D. 5ms-1
15. Aquantity of water at 00C heated to about 300C. At  each degree rise in temperature, its density will A. Rise steadily B. Rise then fall C. Fall steadily D. Fall then rise. 
16. A thin wire with heavy weights attached to both  ends is hung over a block of ice resting on two  supports. If the wire cuts through the ice block  while the block remains solid behind the wire, the  process is called 
17. Fusion B. Sublimation C. Condensation D. Regelation 
18. A cell of internal resistance 0.01 ohms can be  measured accurately using the 
19. Ohm-meter 
20. Potentiometer 
21. Electroscope 
22. Metre bridge 
23. An electron of charge 1.6 x 10-19C and mass 9.1 x 10-31kg is accelerated between two metal plates with  a velocity of 4 x 107ms-1, the potential difference  between the plates is 
24. 4.55x 101V B. 9.10 x 101V  C. 4.55x 102V D. 4.55 x103V 

In the diagram above, a beam of white light travels  from a rare to dense medium. What colours oflight  do the rays a, b, c respectively represent. 

1. Blue, yellow andred 
2. Green, red andblue 
3. Red, green and blue 
4. Yellow, blue andred.
   

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The diagram above shows two capacitors P and Q  of capacitances 5uF and 10 uF. Find the charges  stores in P and Q respectively. 

1. 200 uCand 100 uC 
2. 100 uCand 200 uC 
3. 4 uC and 2uC 
4. 2 uC and 4uC 
5. What optical instrument can best be constructed  with converging lenses of focal lengths 500cm and  5cm? 
6. Compound microscope 
7. Terrestrial telescope 
8. Astronomical telescope 
9. Galileo’s telescope 
10. A projector lantern is used to give the image of a  slide on a screen. If the image is 24 times as large  as the slide and the screen is 72.0m from the  projecting lens, what is the position of the slide  from the lens? 
11. 4.0m B. 3.5m 
12. 3.0m D. 0.3m 
13. A radio is operated by eight cells each of e.m.f.  2.0V connected in series. if two of the cells are  wrongly connected, the net e.m.f. of the radio is A. 16V B. 12V 
14. 10V D. 8V 
15. A 2H inductor has negligible resistance and is  connected to a 50/ Hz a.c. supply. The reactance  of the inductor is 
16. 200Ohms 
17. 50 Ohms 
18. 100Ohms 
19. 25 Ohms 
20. Ifthe fraction ofthe atoms of a radioactivematerial 
    

left after 120 years is 1/  

What is the half-life of the 

32. If a charged ion goes through combined electric  and magnetic fields, the resultant emergent  velocity of the ion is 
33. E

B 

1. EB 

material? 

1. 2 years B. 10 years C. 20 years D. 24 years 

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34. B

E 

1. E –B 

In the diagram above, the values of V1and V2are  respectively 

1. 1V and 1 V3 
2. 1 V and 1V  

3 

38. A certain readioactive source emits radiations that  were found to be deflected by both magnetic and  electric fields. The radiations are 
39. x-rays 
40. beta rays 
41. gamma rays 
42. ultra-violet rays 
43. In a pure semicondctor, the number of electronin  the conduction band is 
44. Equal to the number of holes in the valence  band 
45. Greater than the number of holes in the  valence band 
46. Less than the number of holes in the valence  band 
47. Twice the number of holes in the valence  band. 
48. A cell of internal resistance 1 ohms supplies  current to an external resistor of 3 ohms . The  efficiency of the cell is 
    
49. 1 V and 2 V A. 75% B. 50% 
    

3 3 1V and 2 V 

3 

1. 33% D. 25%
   

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