1. AMU –PAST PAPERS
PHYSICS- UNSOLVED PAPER - 1996

2. SECTION – I
 Single Correct Answer Type
 There are five parts in this question. Four choices are given for each part and one of them is
correct. Indicate you choice of the correct answer for each part in your answer-book by
writing the letter (a), (b), (c) or (d) whichever is appropriate

3. 01 Problem
The current amplification factor  of a common base transistor and current
amplification  of a common emitter transistor are not related with:
a. 
 
1
1 1
b. 


1

 
c. 1 

d.  
1

4. 02 Problem
An extremely hot star would appear to be:
a. Orange
b. yellow
c. Blue
d. red

5. 03 Problem
The magnetic flux density B at a distance r from a long straight wire carrying
steady current varies r as shownin fig:
a.
b.
c.
d.

6. 04 Problem
Which of the following material is paramagnetic?
a. Aluminum
b. water
c. Copper
d. Bismuth

7. 05 Problem
The force F is given in terms of time t and displacement z by the equation:
F=A cos Bx+C sin Dt
The Dimensions of D/B are
a. MLT-1
b. LT-2
c. L2T
d. LT-1

8. 06 Problem
The speed of light c, gravitational constant G and Plancks constant h are taken as
fundamental units in a system. The dimensions of time in he new system should
be:
a. G+1/2H1/2c1/2
b. G1/2c-3/2h1/2
c. G-1/2h1/2c1/2
d. G-1/2h1/2c-5/2

9. 07 Problem
A particle moves along a straight line such that its displacement at any time t is
given by:
s=t3-6t2+3t+4
The velocity, when its acceleration is zero, is
a. -9m/s
b. 22m/s
c. 13m/s
d. 2m/s

10. 08 Problem
A particle moves along x-axis from x=0 to x=5 m under the influence of a
Forse given by F=(7-2x+3x2) Newton.
The work done in the process is:
a. 135 j
b. 270 j
c. 67.5 j
d. None of these

11. 09 Problem
A constant force acts on a particle and its displacement x in metre is related to
the time t in second by the equation: t= x 3 When the velocity of the
particle is zero, its displacement is in cm:
a. Zero
b. 1
c. 5
d. 2

12. 10 Problem
A bullet is fired from the gun, the force on the bullet is given by
F= 600 - 2 x105t
Where F is in Newton and t in second. The force on the bullet becomes zero as
soon as it leaves the barrel. The average impulse imparted to the bullet will be:
a. 1.5 Ns
b. 0.9 Ns
c. Zero
d. 8 Ns

13. 11 Problem
A body is projected horizontally from a point above the ground the motion of the
body is described by the equation:
x = 2t, y = 5t2
Where x, and y are in horizontal and vertical coordinates after time t. the initial
velocity of the body will be :
a. 29 m/s horizontal
b. 5m/s horizontal
c. 2m/s vertical
d. 2m/s horizontal

14. 12 Problem
A block of metal weighing 2 kg is resting on a frictionless plane. It is struck by
a 1 kg/sec and at a speed of 5m/s. The initial acceleration of the blocks is:
a. 7.5m/s2
b. 1.25m/s2
c. 5m/s2
d. 2.5m/s2

15. 13 Problem
A uniform chain of length L and mass M is lying on a smooth table with one
fourth of it hanging freely from the edge of the table. The amount of work
required to pull the chain on the table is nmgl where n is equal to:
1
a.
2
1
b. 8
1
c. 12
1
d. 32

16. 14 Problem
A satellite of mass m is orbiting the earth in a circular path of radius r with
velocity v. How much energy is required to take the satellite from an orbit of
radius r to the satellite from an orbet of radius r to 3r ?
GMm
a.
3r
2GMm
b. 3r
GMm
c. r
GMm
d. 2r

17. 15 Problem
The masses and radii of earth and moon are M1,R2 and M2,R2 respectively. Their
contres are at a distance d apart. the minimum speed with which the partical of
mass m should be projected form a point midway between the two centers so, as
to escape to infinity is:
G(M1  M2 )
a.
d
G(M1  M2 )
b.
2d
2G(M1  M2 )
c. d
G(M1  M2 )
d. 2 d

18. 16 Problem
A bimetallic strip, consisting of iron and brass is heated. It bens into an are with
iron on concave side and brass on convex side of the arc. This is because:
a. It is more difficult to bend brass rod than an iron rod
b. Brass has a higher coefficient of linear expansion than iron.
c. Density of iron is lower than that of brass
d. The specific heat of iron is lower than that of brass.

19. 17 Problem
A balloon of volume 1500 m3 and weighing 1650 kg with all its equipment is
filled with helium (density 0.2 kg/m3). If the density of air be 1.3 kg/m3. the pull
on the rope tied to the balloon will be:
a. 1950 kg
b. 16600 kg
c. 300 kg
d. Zero

20. 18 Problem
The root mean square velocity (rms) of hydrogen molecule at 300 K is 1930 m/3.
The value of rms velocity of oxygen molecules at 1200 K, will be:
a. 965 m/s
b. 1065 m/s
c. 865 m/s
d. None of these

21. 19 Problem
N molecules each of mass m of a gas A and 2N molecules each of mass 2 m of a
gas B are contained in the same vessel which are maintained at a temperature T.
The mean square velocity of the molecule of B type is denoted by v2 and the
mean square of the X-component of the velocity of A type is denoted by  2 then
the value of 2 will be:
2
v
a. 2/3
b. 3/2
c. 1/3
d. ¾

22. 20 Problem
Water falls through a height of 250 m. Assuming that whole of energy due to fall
is converted into heat. The rise in temperature of water (g =9.8m/s2,j =4.18x103
j/ kilocal) :
a. 3.590c
b. 2.590c
c. 1.590c
d. 0.590c

23. 21 Problem
Two bodies A and B of the same mass are suspended from two separate springs
of spring constant K1 and k2 respectively. The two bodies oiscillate vertically and
they have the same maximum acceleration. The amplitude of oscillation of A and
B are in the ratio of:
k1
a. k2
2k2
b. k1
k1
2 k2
c.
k2
d. k1

24. 22 Problem
One tesla is not equal to:
a. 1J/A
b. 104 gauss
c. 1wb/m2
d. 1 J/Am2

25. 23 Problem
The frequency of revolution of a charged particle in a magnetic field is
independent of:
a. Strength of magnetic field
b. Speed of the particle
c. Change of particle
d. None of these

26. 24 Problem
A transformer is used to reduce the main supply of 220 V to 11 volt. If the
currents In the primary and secondary are 5A and 70A respectively. The
efficiency of the transformer:
a. 45 %
b. 50 %
c. 75 %
d. 90 %

27. 25 Problem
If the earth were to loss its atmosphere, then compared to the previous
average temperature of its surface, then the temperature would:
a. Be unpredictable
b. Remain constant
c. Decrease
d. Increase

28. 26 Problem
A proton and an  particle are accelerated though the same potential
difference. The ratio of their de Broglie wavelength (  p/  a) is:
1
a. 8
b. 8
c. 1
d. 2

29. 27 Problem
In which of the following region, the Lyman series are found?
a. Infrared
b. Visible
c. Both (a)and (b)
d. Ultraviolet

30. 28 Problem
The order of density of nuclear matter is:
a. 1017 kg/m3
b. 1019 kg/m3
c. 1034 kg/m3
d. 1021 kg/m3

31. 29 Problem
In a thermonuclear reaction
2 2 2 4 1
1H +1H +1H 2He +1H
+0n1+21.6MeV.
The percentage of mass converted into energy, will be:
a. 3.39 %
b. 2.39 %
c. 1.39 %
d. 0.39 %

32. 30 Problem
One serious drawback of semiconductor devices is :
a. They pollute the environment
b. They can not be used with high voltage
c. They are costly
d. They do not last for long time

33. 31 Problem
The minimum number of artificial satellite needed to be placed to the surface of
earth for worldwide communication between any two location is
a. 6
b. 4
c. 3
d. 2

34. 32 Problem
What is the voltage gain in a common emitter amplifier, when in put resistance is
3 and the load resistance 24 with  =60?
a. 480
b. 240
c. 48
d. 4.8

35. 33 Problem
A light ray is incident on a prism in minimum deviation of 340.if the shaded half
of the prism is removed off, then the same ray will suffer a deviation of :
a. 00
b. 650
c. 170
d. 340

36. 34 Problem
In a young’s double slit experiment the angular width of a fringe formed on a
distant screen is 0.10. The wavelength of light used is 6000A0.The spacing
between the slits is :
a. 1.72 10--4 m
b. 3.44 10-4 m
c. 6.88 10-4m
d. None of these.

37. 35 Problem
A car blowing a horn of frequency 700Hz is going at a speed of 2 m/s towards a
vertical wall. If the speed of sound in air is 352 m/s.how many beats does the car
driver hear every second?
a. 8
b. 10
c. 9
d. 15

38. 36 Problem
The ratio of specific heats at constant pressure and constant volume is 7/5 for
hydrogen,5/3 for helium. The ratio of speed of sound in hydrogen to that of
heliun at the same temperature and pressure is :
42
a. 25
42
b. 5
5
c. 24
21
d. 5

39. 37 Problem
Which graph represents the variation of speed of sound with temperature?
a.
b.
c.
d.

40. 38 Problem
The equation of plane progressive wave is y = 4 sin (100t = 2x)
Where x and y in cm and t in second. The maximum particle velocity is:
a. 400 cm/s
b. 100 m/s
c. 200 m/s
d. 400 m/sec

41. 39 Problem
7 g of nitrogen is mixed with 16 g of oxygen in tube and then sealed. The speed of
sound in the tube at 270 is:
a. 305 m/s
b. 337.5 m/s
c. 154 m/s
d. None of these

42. 40 Problem
The resistance of a galvanometer is 90 ohm. If only 10% of the main current may
flow through the galvanometer in which way and in what way a resistor is to be
used?
a. 810 ohm in series
b. 810 ohm in parallel
c. 10 ohm in parallel
d. 10 ohm in series

43. 41 Problem
A solenoid 1.5 m long and 4.0 cm in diameter possess 10 turns/cm. A current of
5.0 ampere is flowing through it. Calculate the magnetic induction (i) inside and
(ii) at one end, on the axis of solenoid:
a. 2 x103 tesla,  x103 tesla
b. 0.5 x103 tesla,  x 103 tesla
2
3 
c.  x 103 tesla, x 103 tesla
2 3
d. None of these

44. 42 Problem
Two small magnets each of magnetic moment 10 Am2 are placed in end on
positions 0.1 m apart from their centres. The force acting between them is:
a. 0.06 N
b. 0.6 N
c. 0.6 x 107 N
d. 0.06 x 107 N

45. 43 Problem
A condenser of capacity 1  F and a resistance 0.5 mega ohm are connected in
series with a D.C. supply of 2V. The time constant of the circuit is:
a. 0.25 sec
b. 0.5 sec
c. 1 sec
d. 2 sec

46. 44 Problem
In a series LCR circuit with a source of voltage 50V, frequency 50 Hz, R = 300, L =
1.0 H, C = 20 , the potential difference across the capacitor will be:
a. 50V
b. 30V
c. 10V
d. Zero

47. 45 Problem
An electromagnetic radiation has an energy 14.4 keV. To which region of
electromagnetic spectrum does it belong?
a. X-ray region
b. Ultra violet region
c. Infrared region
d. None of these

48. 46 Problem
The kinetic energy of an electron which is accelerested through a potential
difference of 100 V is:
a. 6.626 x 10-3 watt sec
b. 1.16 x 10-34 J
c. 418.6 cal
d. 1.6m x 10-17J

49. 47 Problem
Which of the following graph represent correctly the variation of photoelectric
current i with intensity I of incident radiations?
a.
b.
c.
d.

50. 48 Problem
The wavelength of the first line of Lyman series of hydrogen is 1216 Ao.
Wavelength of the second line of the same series is:
a. 6566
b. 912
c. 1026
d. 912

51. 49 Problem
A gamma ray photon of energy 2.2 MeV produces an electron position pair. What
is the Kinetic Energy of pair of particles so produced?
a. 1.18 MeV
b. 2.36 MeV
c. 0.18 MeV
d. None of these

52. 50 Problem
If 5 of U235 is completely destroyed in a reactor, the energy realeased would be:
a. 60 x 1015 J
b. 15 x 1010 J
c. 45 x 1010 J
d. 45 x 1013 J

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