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# AIPMTPhysics 1994

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• 1. aipmt–Past papers
PHYSICS- UNSOLVED PAPER - 1994
• 2. SECTION – I (Total Marks : 50)
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
A hollow metallic sphere of radius 10 cm is charged such that potential of its surface is 80 V. The potential at the centre of the sphere would be
80 V
800 V
zero
8 V.
• 4. Problem
02
Charge q2 is at the centre of a circular path with radius r. Work done in carrying charge q1, one around the equipotential path, would be
a.
b.
c. zero
d. infinite.
• 5. Problem
03
A magnet oscillates, in earth’s magnetic field, with a time-period T. If its mass is quadrupled, then its new time – period will be
T/2, motion remaining S.H.M
Unaffected but motion is not S.H.M.
4T, motion remaining S.H.M.
2T, motion remaining S.H.M.
• 6. Problem
04
The given figure gives electric lines of force due to two charges q1 and q2. What are the sings of the two charges?
q1 is positive but q2 is negative
q1 is negative but q2 is positive
both are negative
both are positive.
• 7. Problem
05
A circular loop of area 0.01 m2 carrying a current of 10 A, is held perpendicular to a magnetic field of intensity 0.1 T. The torque acting on the loop is
N .m
0.8 N.m
zero
N.m
• 8. Problem
06
An electric bulb is rated 60 W, 220 V. The resistance of its filament is
870
780
708
807
• 9. Problem
07
Two cables of copper are of equal lengths. One of them has a single wire of area of cross- section A, while other has 10 wires of Cross-sectional area A/10 each. Give their suitability for transporting A.C. and D.C.
Only multiple strands for A.C., either for D.C.
Only multiple strands for A.C., only single strand for D.C.
Only single strand for D.C., either for A.C.
Only single strand for A.C., either for D.C.
• 10. Problem
08
An L-C-R circuit is connected to a source of A.C. current, At resonance, the phase difference between the applied voltage and the current in the circuit, is
a.
b. zero
c. /4
d. /2
• 11. Problem
09
A wire 50 cm long and 1 mm2 in cross –section carries a current of 4 A when connected to a 2 V battery. The resistivity of the wire is

4 x 10-6
1x 10-6
2x 10-7
5 x10-7 .
• 12. Problem
10
Six resistors of 3 each are connected along the sides of a hexagon and three resistor of 6 each are connected along AC, AD and AE as shown in the figure. The equivalent resistance between A and B is equal to
2
6
3
9
• 13. Problem
11
A small source of light is 4 m below the surface of water of refractive index 5/3. In order to cut off all the light, coming out of water surface, minimum diameter of the disc placed on the surface of water is
a. 6 m
b.
c. 3m
d. 4m
• 14. Problem
12
In an A.C. circuit, Irms and andI0 and related as
a.
b.
c.
d.
• 15. Problem
13
Identify the set in which all the three materials are good conductors of electricity
Cu, Hg and NaCl
Cu, Ge and Hg
Cu, Ag and Au
Cu, Si and diamond.
• 16. Problem
14
A flow of 107 electrons per second in a conducting wire constitutes a current of
1.6 x 10-12 A
1.6 x 1026 A
1.6 x 10-26 A
1.6 x 1012 A.
• 17. Problem
15
The current I in an A.C. circuit inductance coil varies with time according to the graph given below.
Which one of the following graphs gives the variation of voltage with time?
a.
b.
c.
d.
• 18. Problem
16
A source of frequency v gives 5 beats/second when sounded with a source of frequency 200 Hz. The second harmonic of frequency 2v of source gives 10 beats/second when sounded with a source of frequency 420 Hz. The value of v is
205 Hz
195 Hz.
200 Hz
210 Hz.
• 19. Problem
17
I A loaded vertical spring executes S.H.M. with a time period of 4 sec. The difference between the kinetic energy and potential energy of this system varies with a period of
2 sec
1 sec
8 sec
5sec
• 20. Problem
18
Which of the following is simple harmonic motion?
Particle moving in a circle with uniform speed
Wave moving through a string fixed at both ends
Ball bouncing between two rigid vertical walls.
• 21. Problem
19
Ray optics is valid, when characteristic dimensions are

Much smaller than the wavelength of light
Of the same order as the wavelength of light
Of the order of one millimeter
Much larger than the wavelength of light.
• 22. Problem
20
Which of the following electromagnetic radiations have the smaller wavelength ?
X-rays
y-rays
UV waves
Microwaves.
• 23. Problem
21
The blue colour of the sky is due to the phenomenon of

Scattering
Dispersion
Reflection
Refraction.
• 24. Problem
22
Which one of the following gates correspond to the truth table given below?
NAND
NOR
XOR
OR
• 25. Problem
23
An electric dipole of moment p is placed in the position of stable equilibrium in uniform electric field of intensity E. This is rotated through an angle from the initial position. The potential energy of the electric dipole in the final position is
-pEcos
pE (1- cos )
pEcos
pE sin .
• 26. Problem
24
In an adiabatic change, the pressure and temperature of a monatomic gas are related as where C equals
a.
b.
c.
d.
• 27. Problem
25
For lenses of focal length 15 cm and 150 cm are available for making a telescope. To produce the largest magnification, the focal length of the eyepiece should be
+ 15 cm
+ 150 cm
150 cm
-15 cm.
• 28. Problem
26
A stationary wave is represented by where y and A are in millimeters, t is in second and x is meters. The velocity of the wave is
104 m/s
not derivable
1 m/s
102 m/s
• 29. Problem
27
The oscillating electric and magnetic vectors of an e.m. wave are oriented along
Mutually perpendicular directions and are in phase
Mutually perpendicular directions but has a phase difference of 900
The same direction and are in phase
The same direction but have a phase difference of 900
• 30. Problem
28
The displacement –time graph of a moving particle is shown below. The instantaneous velocity of the particle in negative at the point
E
F
C
D
• 31. Problem
29
A solid spherical ball rolls on a table. Ratio of its rotational kinetic energy to total kinetic energy is
a.
b.
c.
d.
• 32. Problem
30
A particle executes S.H.M along x-axis. The force acting on it is given by
A cos (kx)
Ae-kx
Akx
Akx.
• 33. Problem
31
Two identical balls A and B collide head on elastically. If velocities of A and B, before the collision, are +0.5 m/s and –0.3 m/s respectively, then their velocities, after the collision, are respectively
-0.5 m/s and + 0.3 m/s
+ 0.5 m/s and + 0.3 m/s
+ 0.3 m/s and – 0.5 m/s
-0.3 m/s and + 0.5 m/s.
• 34. Problem
32
A seconds pendulum is mounted in a rocket. Its period of oscillation
will decrease when rocket is
Moving down with uniform acceleration
Moving around the earth in geostationary orbit
Moving up with uniform velocity
Moving up with uniform acceleration. Decline
• 35. Problem
33
A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after refection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and reflected ) is
20 m/s
40 m/s
6m/s
10 m/s.
• 36. Problem
34
A body of mass 5 kg hangs from a spring and oscillates with a time period of 2 seconds. If the ball is removed, the length of the spring will decrease by
g/k meters
k/g meters
2 meters
g meters.
• 37. Problem
35
Which one of the following represents a wave?
a.
b.
c.
d.
• 38. Problem
36
In a rocket, fuel burns at the rate of 1 kg/s. This fuel is ejected from the rocket with a velocity of 60 km/s. This exerts a force on the rocket equal to

6000 N
60000 N
60 N
600 N
• 39. Problem
37
A satellite in force – free space sweeps stationary interplanetary dust at a rate of where M is mass and v is the speed of satellite and is a constant. The acceleration of satellite is
a.
b.
c.
d.
• 40. Problem
38
If the gravitational force between tow objects were proportional to 1/R (and not as 1/R2), where R is the distance between them, then a particle in a circular path (under such a force ) would have its orbital speed v, proportional to
R
R0(independent of R)
1/R2
1/R.
• 41. Problem
39
The distance of two planets from the sun are 1013 m and 1012 m respectively. The ratio of time periods of the planets is
a.
b.10
c. 10
d.1/
• 42. Problem
40
The radius of earth is about 6400 km and that of mars is 3200 km. The mass of the earth is about 10 times mass of mars. An object weighs 200 N on the surface of earth. Its weight on the surface of mars will be
20 N
6N
80N
40 N
• 43. Problem
41
When a body moves with a constant speed along a circle

No work is done on it
No acceleration is produced in it
Its velocity remains constant
No force acts on it
• 44. Problem
42
The velocity of train increases uniformly from 20 km/h to 60 km/h in 4 hours. The distance traveled by the train during this period is
160 km
180 km
100 km
120 km.
• 45. Problem
43
A position dependent force, F = 7 –2x + 3x2 N acts on a small body of mass 2 kg and displaces if from the work done in joules is
135
270
35
70.
• 46. Problem
44
A particle moves along a straight line such that its displacement at any time t is given by meters. The velocity when the acceleration is zero is
3 m/s
42 m/s
-9 m/s
-15 m/s.
• 47. Problem
45
a boat is sent across a river with a velocity of 8 km/h. If the resultant velocity of boat is 10 km/h, then velocity of the river is
8km/h
10km/h
12.8 km/h
6 km/h.
• 48. Problem
46
A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate and comes to rest. If total time elapsed is t, then maximum velocity acquired by car will be
a.
b.
c.
d.
• 49. Problem
47
The kinetic energy acquired by a mass m in traveling distance d. starting from rest, under the action of a constant force is directly proportional to
a. m
b.
c.
d.1/
• 50. Problem
48
A body, constrained to move in y-direction, is subjected to a force given by The work done by this force in moving the body through a distance of m along y-axis, is
150 J
20 J
190 J
160 J
• 51. Problem
49
The angle between the two vectors and will be
900
1800
zero
450.
• 52. Problem
50
Which of the following has the dimensions of pressure?

MLT-2
ML-1T-2
ML-2T-2
M-1L-1.
• 53. For solution visit www.vasista.net