2. SECTION
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 v-t graph for a particle is as shown. The distance traveled in the first four
seconds is :
a. 12 m
b. 16 m
c. 20 m
d. 24 m
4. 02 Problem
an open pipe is suddenly closed at one end with the result that the frequency of
third harmonic of the closed pipe is termed to be higher by 100 Hz, then the
fundamental frequency of the open pipe. The fundamental frequency of the
open pipe is :
a. 200 Hz
b. 150 Hz
c. 100 Hz
d. 250 Hz
5. 03 Problem
If a convex lens of focal length 75 cm and a concave lens of focal length 50
cm are combined together, what will be their resulting power ?
a. - 6.6 D
b. + 0.66 D
c. + 6.6D
d. - 0.66 D
6. 04 Problem
When a ferromagnetic material is heated to temperature above its curie
point, the material
a. Is permanently magnetized
b. Remains ferromagnetic
c. Behaves like a diamagnetic material
d. Behaves like a paramagnetic material
7. 05 Problem
Light of energy 2.0 eV falls on a metal of work function 1. 4 eV. The stopping
potential is :
a. 0.6 V
b. 2.0 V
c. 3. 4 V
d. 1. 4 V
8. 06 Problem
Two mass A and B of 15 kg and 10 kg are connected with a string passing over a
frictionless pulley fixed at the corner of a table fas shown in figure). The
coefficient of friction between the table and block is 0.4. the minimum mass of C,
theat may be placed on A to prevent it from moving is :
a. 10 kg
b. 5 kg
c. zero
d. 15 kg
9. 07 Problem
During an isothermal expansion of an ideal gas :
a. Its internal energy decreases
b. Its internal energy does not change
c. The work done by the gas is equal to the quantity of heat absorbed by it
d. Both b and c are correct
10. 08 Problem
A logic gate and its truth table are shown below
The gate is :
a. NOR
b. AND
c. OR
d. NOT
11. 09 Problem
Find the dimensions of electric permittivity.
a. [A2M-1L-3T4]
b. [A2M-1L-3T0]
c. [AM-1L-3T4]
d. [A2M0L-3T4]
12. 10 Problem
1 Wb/m2 is equal to :
a. 104 gauss
b. 4 x 10-3 gauss
c. 102 gauss
d. 10-4 gauss
13. 11 Problem
In Young’s double slit experiment, the slits are 3 mm apart. The wavelength of
light used is 5000Å and the distance between the slits and the screen is 90
cm. The fringe width in mm is :
a. 1.5
b. 0.015
c. 2.0
d. 0.15
14. 12 Problem
A moving coil galvanometer has a resistance of 10 and full scale deflection of
0.01 A. It can be converted into voltmeter of 10 V full scale by connecting into
resistance of :
a. 9.90 is series
b. 10 in series
c. 990 in series
d. 0.10 is series
15. 13 Problem
A circular disc of radius R rolls without slipping along the horizontal surface with
constant velocity v0. We consider a point A on the surface of the disc. Then the
acceleration of the point A is :
a. Constant in magnitude as well as direction
b. Constant in direction
c. Constant in magnitude
d. Constant
16. 14 Problem
An ideal gas is taken from point A to the point B, as shown in the P-V diagram,
keeping the temperature constant. The work done in the process is :
a. (PA - PB) (VB - VA)
b. (PB – PA) (VB + VA)
c. (PB – PA) (VB - VA)
d. (PA + PB) (VB - VA)
17. 15 Problem
The number of free electrons per 100 mm of ordinary copper wire is 2 x 1021.
Average drift speed of electrons is 0.25 mm/s. the current flowing is :
a. 5 A
b. 80 A
c. 8 A
d. 0.8 A
18. 16 Problem
A Carnot engine whose low temperature reservoir is at 70C has an efficency of
50%. It is desired to increase the efficiency to 70%. By how many degrees
should the temperature of the high temperature reservoir be increased ?
a. 840 K
b. 280 K
c. 560 K
d. 380 K
19. 17 Problem
In nuclear forces between two protons, between two neutrons and between
a proton and a neutron are fpp. fnn and fpn respectively then :
a. fpp. fnn and fpn
b. fpp = fnn = fpn
c. fpp < fpn < fnn
d. fpp > fpn > fnn
20. 18 Problem
The current in the 1 resistor shown in the circuit is :
a. 2
3
b. 3 A
c. 6 A
d. 2 A
21. 19 Problem
The equivalent capacitance of the combination of the capacitors is :
a. 3.20 µF
b. 7.80 µF
c. 3.90 µF µF
d. 2.16 µF
22. 20 Problem
Water is flowing through a pipe of constant cross-section. At some
point the pipe becomes narrow and the cross-section is halved. The
speed of water is :
a. Reduced to zero
b. Decreased by factor of 2
c. Increased by a factor of 2
d. Unchanged
23. 21 Problem
IN Millikan’s oil drop experiment, an oil drop of mass 16 x 10-6 kg is balanced by
an electric field of 106 V/m. the charge in coulomb on the drop is : (assuming g =
10 m/s2)
a. 6.2 x 10-11
b. 16 x 10-9
c. 16 x 10-11
d. 16 x 10-13
24. 22 Problem
the minimum wavelength of X-ray emitted from X-ray machine operating at an
accelerating potential of V volts is :
hc
a.
eV
Vc
b. eh
eh
c. Vc
eV
d. hc
25. 23 Problem
Light wave is traveling along y-direction. If the corresponding vector at any
E
time is along the x-axis, the direction of B vector at that time is along :
a. y-axis
b. x-axis
c. +z-axis
d. -z-axis
26. 24 Problem
Each resistance in the given network has the value of 10 . The equivalent
resistance between points, A and B will be
a. 30
b. 10
c. 20
d. 2
27. 25 Problem
Two plane mirrors are inclined to each other such that a ray of light incident
on the first mirror and parallel to the second is reflected from the second
mirror parallel to the first mirror. The angle between the two mirrors is :
a. 300
b. 450
c. 600
d. 750
28. 26 Problem
A radioactive material has a half-life of 8 yr. The activity of the material will
decrease to about 1/8 of its original value in :
a. 256 yr
b. 128 yr
c. 64 yr
d. 24 yr
29. 27 Problem
Which of the following is not equal to in Boolean algebra ?
a. A.A
b. A. A
c. A + A
d. A + 1
30. 28 Problem
The number of beats produced per second by two vibrations x1 = x0 sin 646
t and x2 x0 sin 652 t
is :
a. 2
b. 3
c. 4
d. 6
31. 29 Problem
An engine is supposed to operate between two reservoirs at temperature
7270C and 2270C. The maximum possible efficiency of such an engine is :
a. 1/2
b. 1/4
c. 3/4
d. 1
32. 30 Problem
Two rods of different materials having coefficients of thermal expansions
and Young’s moduli Y1 and Y2 respectively are fixed between two rigid walls.
The rods are heated, such that they undergo the same increase in
temperature. There is no bending of rods. If =2/3 and stresses developed in
the two rods are equal, then is :
a. 3/2
b. 1
c. 2/3
d. 1/2
33. 31 Problem
2 x
A string vibrates according to the equation Y 5 sin cos 20 t where x and
3
y are in cm and t in second. The distance between two adjacent nodes is :
a. 3 cm
b. 4.5 cm
c. 6 cm
d. 1.5 cm
34. 32 Problem
On Centigrade scale the temperature of body increases by 300. the increase in
temperature of Fahrenheit scale is :
a. 500
b. 400
c. 300
d. 540
35. 33 Problem
a3 b3
The relation gives the value of x as . x Find the percentage error in x, if
c d
the percentage error in a, b, c, d, are 2%, 1%, 2%, and 4% respectively :
a. 13%
b. 5%
c. 9%
d. 8%
36. 34 Problem
A particle performs uniform circular motion with an angular momentum L.
If the frequency of particle’s momentum L. If the frequency of particle’s
motion is doubled and its KE is halved, the angular momentum becomes :
L
a. 2
b. 2L
c. 4 L
L
d. 4
37. 35 Problem
An electron initially at rest is accelerated through a potential difference of 1V. The
enegy acquired by electron is :
a. 10-19 J
b. 1.6 x 10-19 erg
c. 1.6 x 10-19 J
d. 1 J
38. 36 Problem
Two polaroids are placed in the path of unpolarized beam of intensity I0 such
that no light is emitted from the second Polaroid. If a third Polaroid whose
polarization axis makes an angle with the polarization axis of first polaroids,
then the intensity of light emerging from the last Polaroid will be :
I0
a. sin2 2
8
I0
sin2 2
b. 4
I0
c. sin4
2
I0 cos4
d.
39. 37 Problem
A nucleus decays by - emission followed by a -emission . If the atomic
and mass number of the parent nucleus are Z and A respectively, the
corresponding numbers for the daughter nucleus are respectively :
a. Z – 1 and A – 1
b. Z + 1 and A
c. Z - 1 and A
d. Z + 1 and A – 1
40. 38 Problem
An iron bar of length 10 m is heated from 00C to 1000C. If the coefficient of
linear thermal expansion of iron is 10 x 10-6/0C, the increase in the length of
bar is :
a. 0.5 cm
b. 1.0 cm
c. 1.5 cm
d. 2.0 cm
41. 39 Problem
A balloon going upward with a velocity of 12m/s is at a height of 65 m from
the earth’s surface at any instant. Exactly at this instant a ball drops from it.
How much time will the ball take in reaching the surface of earth ? (g = 10
m/s2)
a. 5 s
b. 5 s
c. 10 s
d. None of these
42. 40 Problem
A block moving on a surface with velocity 20 m/s comes to rest because of
surface friction over a distance of 40 m. Taking (g = 10m/s2), the coefficient
of dynamic friction is :
a. 0.5
b. 0.3
c. 0.2
d. 0.1
43. 41 Problem
The charge q in the circuit shown here varies with time t as
a.
b.
c.
d.
44. 42 Problem
Two long parallel conductors carry currents in opposite directions as shown.
One conductor carries a current as shown. One conductor carries a current of
10 A and the distance between the wires is d = 10 cm. Current I is adjusted, so
that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the
10 A current. Value of I is :
a. 40 A
b. 30 A
c. 20 A
d. 10 A
45. 43 Problem
A dielectric slab is inserted between the plates of an isolated charged
capacitor. Which of the following quantities remain unchanged ?
a. The charge on the capacitor
b. The stored energy in the capacitor
c. the potential difference between the plates
d. The electric filed in the capacitor
46. 44 Problem
In a medium of dielectric constant K, the electric field is is permittivity of
the free space, the electric displacement vector is :
KE
a.
0
E
b.
K 0
c,. 0E
K
K 0E
d.
47. 45 Problem
The phenomenon of polarization of light indicates that :
a. Light is a longitudinal wave
b. Light is a transverse wave
c. Light is not a wave
d. Light travels with the velocity of 3 x 108m/s
48. 46 Problem
A ray of light passes from vacuum into a medium of refractive index , the angle of
incidence is found to be twice the angle of refraction. Then the angle of incidence
is :
a. 2 cos-1 2
b. sin–1 ( )
2
c. sin-1
d. cos-1 2
49. 47 Problem
A body dropped from top of a tower fall through 60 m during the last two
seconds of its fall. The height of tower is : (g = 10 m/s2)
a. 95 m
b. 60 m
c. 80 m
d. 90 m
50. 48 Problem
A compound microscope has an eyepiece of focal length 10 cm and an objective
of focal length 4 cm. Calculate the magnification, if an object is kept at a distance
of 5 cm from the objective, so that final image is formed at the least distance of
distinct vision 20 cm :
a. 12
b. 11
c. 10
d. 13
51. 49 Problem
The ratio of the velocity of sound in oxygen to that in hydrogen at same
temperature and pressure is approximately :
a. 16 : 1
b. 1 : 16
c. 4 : 1
d. 1 : 4
52. 50 Problem
g
The ratio , where g and gh are the accelerations due to gravity at the
gh
surface of the earth and at a height h above the earth’s surface respectively,
is :
2
h
a. 1
R
2
R
1
b. h
2
R
c. h
2
h
d.
R
53. 51 Problem
In order that the light reflected from the surface of a medium of refractive
index is plane polarized, the angle of incidence should be :
sin-1( )
tan-1( )
cot-1( )
tan-1
54. 52 Problem
An electron moves along the line PQ which lies in the same plane as a circular
loop of conducting wire as shown in figure. What will be the direction of the
induced current in the loop ?
a. Anticlockwise
b. Clockwise
c. Alternating
d. No current will be induced
55. 53 Problem
The magnetic field at the centre of a current carrying circular loop is B. If the
radius of the loop is doubled, keeping the current same, the magnetic field at
the centre of the loop would be :
B
a. 4
b. B
2
c. 2B
d. 4B
56. 54 Problem
Let V be the electric potential at a given point. Then the electric field Ex along
x-direction at that point is given by :
a. Vdx
0
dV
b. dx
dV
c. -
dx
d. - V dV
dx
57. 55 Problem
Potential at any point inside a charged hollow sphere :
a. Increases with distance
b. Is a constant
c. Decreases with distance from centre
d. Is zero
58. 56 Problem
The length of a simple pendiulum is increased by 44%. What is the
percentage increase in its time period ?
a. 10%
b. 20%
c. 40%
d. 44%
59. 57 Problem
Four charges q1 = 2 x 10-8 c, q2 = -2 x 10-8 c, q3 = -3 x 10-8C and q4 = 6 x 10-8C
are placed at four corners of a square of side m. What is the potential at the
centre of the square ?
a. 300 V
b. zero
c. 100 V
d. 270 V
60. 58 Problem
A point charge + q is placed at the mid point of a cube of side L. The electric
flux emerging from the cube is :
q
a.
0
q
b.
6L2 0
c. 6qL2
0
d. zero
61. 59 Problem
In which of the following is the interference due to the division of wavefront
?
a. Young’s double slit experiment
b. Fresnel’s biprism experiment
c. Llyod’s mirror experiment
d. Demonstration colours of thin film
62. 60 Problem
The electric field due to an extremely short dipole at distance r from it is
proportional to :
1
a. r
1
b.
r2
1
c.
r3
1
d.
r4
63. 61 Problem
A source of sound of frequency 500 Hz is moving towards a stationary observer
with velocity 30 m/s. the speed of sound is 330 m/s. The frequency heard by
the observer will be ;
a. 545 Hz
b. 580 Hz
c. 458.3 Hz
d. 550 Hz
64. 62 Problem
A ball is hit at 450 to the horizontal with a kinetic energy Ek. The kinetic energy
at the highest point is :
a. Ek
Ek
b. 2
c. Ek
2
d. zero
65. 63 Problem
A wire shown in figure carries a current of 40 A. If r = 31.4 cm, the magnetic
field at point P will be :
a. 1.6 x 10-3 T
b. 3.2 x 10-2 T
c. 4.8 x 10-3 T
d. 6.0 x 10-4 T
66. 64 Problem
Calculate the steady state current in the 2 resistor, shown in figure. The internal
resistance of the battery is negligible and the capacitance of the capacitor C is
0.2 .
a. 1.0 A
b. 0.9 A
c. 1.2 A
d. 0.8 A
67. 65 Problem
In stream line flow of liquid, the total energy of liquid is constant at :
a. All points
b. Inner points
c. Outer points
d. None of these
68. 66 Problem
The magnetic field at the point of intersection of diagonals of a square loop of
side L carrying a current I is :
I
a. 0
L
2 0I
b.
l
2 0I
c.
L
2 2 0I
d.
L
69. 67 Problem
the force on a charged particle moving with a velocity in a magnetic field is :
a. perpendicular to bothv and B
b. Maximum, if v perpendicular to B
c. Maximum, v if parallel to B
d. Zero, if v is parallels to B
70. 68 Problem
If a magnetic dipole of dipole moment M rotated through an angle with respect
to the direction of the field H. then the work done is :
a. MH sin
b. MH (1 – sin )
c. MH cos
d. MH (1 – cos )
71. 69 Problem
Two thin lenses of focal lengths f1 and f2 are placed in contact with each other.
The focal length of the combination is :
a. f1 f2
2
b. f1 f2
f1f2
c.
f1 f2
f1f2
d.
f1 f2
72. 70 Problem
For ionizing an excited hydrogen atom, the energy required (in eV) will be :
a. A little less than 13.6
b. 13.6
c. more than 13.6
d. 3.4 or less
73. 71 Problem
A hollow sphere of charge does not produce an electric field at any :
a. Interior point
b. Outer point
c. Beyond 2 m
d. Beyond 10 m
74. 72 Problem
When a force of 0.1 N is applied, the spring is stretched by 1.5 cm. The spring is
cut into three parts and one part is stretched by 3 cm. Find the force required
for doing so.
a. 0.2 N
b. 0.3 N
c. 0.4 N
d. 0.6 N
75. 73 Problem
A bomb at rest explodes into 3 parts of the same mass. The momentum of the 2
parts is 2 p ˆ and p ˆ.
i j The momentum of the third part will have a magnitude
of :
a. P
b. 3p
c. P 5
d. zero
76. 74 Problem
A couple produces a :
a. Pure linear motion
b. Pure rotational
c. No motion
d. Both linear and rotational motion
77. 75 Problem
If the external forces acting on a system have zero resultant, the centre of mass
:
a. May move but not accelerate
b. May accelerate
c. Must not move
d. None of the above
