2. SECTION – I
Straight Objective Type
This section contains multiple choice questions numbered 75 . Each question has 4 choices (A), (B), (C)
and (D), out of which ONLY ONE is correct.
3. 01 Problem
A sharp linear object of length L lies on the axis of a spherical mirror of focal
length f at a distance u from the mirror. The image has an axial length, equal
to :
a. f
L
u f
2
f
b. L
u f
2
u f
c. L
f
2
d. u f
L
f
4. 02 Problem
Two pure inductors each of inductance L are connected in parallel but are well
separated from each other, the total inductance is :
a. L/4
b. L/2
c. 2L
d. L
5. 03 Problem
If two bulbs of power 25 W and 100 W respectively each rated 220 V are
connected in series with a supply of 440 V, which bulb will be fused ?
a. Both of the bulbs
b. 100 W bulb
c. 25 W bulb
d. None of the above
6. 04 Problem
Number of electrons put on a spherical shell of radius 0.1m, which produce an
electric field of 0.036 N/C just above the surface is :
a. 2.4 x 105
b. 2.5 x 105
c. 2.7 x 105
d. 2.6 x 105
7. 05 Problem
Three charges + 4q, Q and q are placed in a straight line of length l at points
l
having the distance 0, , l respectively. What should be the value of Q in
2
order to make the system in equilibrium ?
a. 4 q
b. - 2q
q
c.
2
d. q
4
8. 06 Problem
A black body at a high temperature T kalvin radiates energy at the rate of E
watt/metre2. When the temperature falls to T/2 kalvin. The radiated energy in
(W/m2) will be :
a. E/16
b. 2E
c. E/4
d. E/2
9. CV =
07 Problem
For a diatomic gas :
a. CV = 5 R
2
b. CP= 5 R
2
c. C P= 2 R
7
d. CV= 2 R
7
10. 08 Problem
The potential V and current I are given by, V = 5 cos t and I = 2 sin t. The
power dissipated in the instrument is :
a. 2.5 W
b. 5 W
c. 10 W
d. zero
11. 09 Problem
In a induction coil the coefficient of mutual inductance is 4H. If a current of 5A in
the primary coil is cut off in the 1/1500 s emf induced in secondary coil will be :
a. 30 kV
b. 10 kV
c. 60 kV
d. 15 kV
12. 10 Problem
100 mA current gives full scale deflection in a galvanometer of 2 resistance.
The resistance connected with the galvanometer to convert it into a voltmeter
of 5 V range, is
a. 48 Ω
b. 50 Ω
c. 52 Ω
d. 98 Ω
13. 11 Problem
If m is the mass and c the velocity of light, the dimensions of mc2 are :
a. [MLT-1]
b. [ML-3 T-2]
c. [M0L2T-2]
d. [ML2T-2]
14. 12 Problem
The dimensions of voltage in terms of mass (M) length (L), time (T) and ampere
(A) are
a. [ML2T-2A-2]
b. [ML2T3A-1]
c. [ML2T-3A1]
d. [ML2T-3A-1]
15. 13 Problem
A ball of mass m1, makes a head-on elastic collision with a ball mass m2 which is
initially at rest. The transfer of kinetic energy to the second ball is maximum
when:
a. m1< m2
b. m1< <m2
c. m1<=m2
d. m1>>m2
16. 14 Problem
the distance traveled by a body falling under gravity in the first, second and
third second are in the ratio:
a. 1 : 8 : 27
b. 1 : 2 : 3
c. 1 : 4 : 9
d. 1 : 3 : 5
17. 15 Problem
A particle is simultaneously acted by two forces equal to 4N and 3N . the net
force on the particle is:
a. Between 1N and 7N
b. 7N
c. 5N
d. 1N
18. 16 Problem
A bullet weighing 10g and moving with a velocity of 300m/s strikes a 5 kg block
of ice and drops dead, the block which is situated on a frictionless leveled ice.
The speed of the block after collision is:
a. 60 cm/s
b. 6cm/s
c. 0.8 cm/s
d. 5cm/s
19. 17 Problem
Forces 3N, 4N and 12N act at a point in mutually perpendicular direction. The
magnitude of resultant force in Newton is:
a. 19
b. 7
c. 13
d. 12
20. 18 Problem
In the arrangement shown in the figure, the ends P and Q move downward
with the uniform speed u. Pulley A and B in the same horizontal line are fixed.
The mass M move upward with velocity
a. 2
u cos
b. u cos
c. u
cos
d. 2u cos
21. 19 Problem
The range of particle when launched at an angel of 150 with the horizontal is
1.5 km. What is the range of the projectile when launched at an angel of 450 to
the horizontal ?
a. 0.75 km
b. 6.0 km
c. 1.5 km
d. 3.0 km
22. 20 Problem
the range of particle when launched at an angel of 150 with the horizontal is
1.5 km. What is the range of the projectile when launched at an angel of 450 to
the horizontal ?
a. 0.75 km
b. 6.0 km
c. 1.5 km
d. 3.0 km
23. 21 Problem
The amount of work done required to send a body of mass m from the earth’s
surface height of R/2 , where R is the radius of earth’ is?
a. 5
mgR
3
mgR
b.
4
c. mgR
3
d. mgR
2
24. 22 Problem
Bulk modulus of water is 2 x 109 N/m2. the change in pressure required to
increases density of water by 0.01% is :
a. 2 x 105 N/m2
b. 2 x 107 N/m2
c. 2 x 106 N/m2
d. 2 x 109 N/m2
25. 23 Problem
The time period of a body executing simple harmonic motion is 0.05
s, amplitude of vibration is 4.0 cm. The maximum velocity of the body is:
a. 4πm/s
b. 3.1 πm/s
c. 1.6 πm/s
d. 2 πm/s
26. 24 Problem
when a sound wave of frequency 300Hz passes through a medium, the
maximum displacement of the particle is equal to
a. m/s
b. 30 m/s
c. 30 π m/s
d. 30 π cm/s
27. 25 Problem
The temperature coefficient of resistance is 0.00125/0C. At s300K, is resistance
is At which temperature the resistance of wire will be 2Ω ?
a. 1127 K
b. 1400 K
c. 1100 K
d. 11.54 K
28. 26 Problem
A sound wave has frequency 500 Hz and velocity 350 m/s. What is the distance
between two particles having phase difference equal to 600 ?
a. 23 cm
b. 583 cm
c. 10 cm
d. 11.67 cm
29. 27 Problem
An ideal monatomic gas is taken round the cycle ABCDA shown in the PV
diagram in the given figure. The work done during the cycle is :
a. ½ PV
b. 2P V
c. P V
d. Zero
30. 28 Problem
The equivalent resistance between the points X and Y in the following circuit
will be :
a. R
b. R/5
c. R/2
d. R/4
31. 29 Problem
If the instantaneous current is given by I 2 cos t A, the rms value of
current is :
a. Zero
b. 2 2 A
c. 2 A
d. 2 A
32. 30 Problem
The current i in the circuit of given figure is :
a. 1/5 A
b. 1/45 A
c. 1/15 A
d. 1/10A
33. 31 Problem
Two identical thin rings each of radius R metre are coaxially placed at a
distance R metre apart. If Q1 and Q-2 coulomb of charges are distributed on
them, the work done on moving a charge q from the centre of one ring to that
of the other is :
q Q1 Q2 2 1
a.
24 0 R
b. Zero
c. q 2 Q1 Q2
4 0 R
q Q1 Q2 2 1
d.
4 0 R 2
34. 32 Problem
A given charge situated at a certain distance from an electric dipole in the end-
on position experiences a force F. If the distance of the charge is doubled the
forces acting on it is :
a. F/8
b. F/4
c. F/2
d. 2F
35. 33 Problem
Inside a charged spherical shell the electric potential is :
a. q2
4 0
b. Zero
c. 1 q
4 0 r2
q
d.
4 0 R
where R is radius of sphere.
36. 34 Problem
Ice starts forming in a lake with water at 00C, when the atmospheric
temperature is – 100C. If the time taken for ice of thickness 1 cm to be formed
is 7 h, the time taken to change the thickness of ice from 1 cm to 2 cm is :
a. More than 14 h
b. 14 h
c. less than 7 h
d. 7 h
37. 35 Problem
70 cal of heat are required to raise the temperature o 2 moles of an ideal gas at
constant pressure from 300 c to 350 c. The amount of heat required to raise
the temperature of the same gas from the same range 300 C at constant
volume is :
a. 90 cal
b. 70 cal
c. 50 cal
d. 30 cal
38. 36 Problem
A thin rod of length l and mass m is suspended from one of its ends. Its is set
into oscillation about a horizontal axis. Its angular speed is high will its centre
of mass rise from the lowest position ?
2 2
a. l
2g
2 2
b. l
g
2 2
c. l
6g
2 2
d. l
3g
39. 37 Problem
A body rolls down on inclined plane without slipping. The fraction of total
energy associated with its rotational energy will be :
R2
a.
K 2 R2
K2
b.
K2 R2
c. K2
R2
d. K2 + R2
40. 38 Problem
if a body is rotating in a vertical circle, the minimum speed at the top of the
vertical circle will be :
a. 2rg
b. may have any value
c. 3rg
d. rg
41. 39 Problem
Rocket works on the principle of conservation of :
a. Linear momentum
b. Angular momentum
c. Mass
d. Energy
42. 40 Problem
A smooth sphere A is moving on a frictionless horizontal surface with angular
speed ω and centre of mass velocity v. It collides elastically and head-on with
identical sphere B at rest. Neglect friction everywhere. After the
collision, their angular speeds are A ω and B ω respectively. Then :
a. A B
b. A
c. B
d. A B
43. 41 Problem
Initial velocity of particle moving along a straight line is 10 m/s and retardation
is 2 m/s2. The distance covered by it in 5th second of its motion is :
a. 1 m
b. 50 m
c. 19 m
d. 85 m
44. 42 Problem
A rod PQ of length L revolves in a horizontal plane about the axis of XY. The
angular velocity of the rod is ω. If A is the area of cross-section of the rod and
be its density, then its kinetic energy is :
a. 1
AL3 2
18
1
b. AL3 2
24
1
c. AL3 2
2
d. 1 AL3 2
5
45. 43 Problem
An iceberg is floating partly immersed in sea water, the density of sea water is
1.03 g/cm3 and density of ice is 0.92 g/cm3. the fraction of the total volume of
the iceberg above the level of sea water is :
a. 0.8%
b. 34%
c. 0.1%
d. 11%
46. 44 Problem
If the radius of earth were to shrink by 1%, its mass remaining the same, the
acceleration due to gravity on earth’s surface will
a. Remain unchanged
b. Decreased by 2%
c. Increase by 2%
d. None of the above
47. 45 Problem
A simple pendulum of length l with bob of mass M is oscillating about a
vertical line betweens - and + For an angular displacements
the bob are T and v respectively. The following relation holds good under the
above conditions :
mv 2
a. T mg cos
l
b. T = 3 mg cos
c. T = mg cos
d. T cos = mg
48. 46 Problem
A sphere is suspended by a thread of length l. what minimum horizontal
velocity must be given to the sphere, so as to reach the height of suspension ?
a. Gl
b. (gl )
c. (2gl )
d. l
g
49. 47 Problem
1
Quantity has the dimension as those of
0 0
a. Acceleration
b. Velocity
c. Time
d. Energy
50. 48 Problem
The resultant of two equal vectors inclined at some angle is equal to the
magnitude of either of the vectors. The angle inclined between the vectors is:
a. 1200
b. 900
c. 450
d. 180
51. 49 Problem
A dancer comes advancing and sits on a rotating platform. What is conserved
?
a. Linear momentum
b. Kinetic energy
c. Angular momentum
d. None of the above
52. 50 Problem
Relative density of a metal may be found by hanging a block of a metal with a
spring balance and noting the reading which is say 5.00 0.05, N while in water
the reading is found 4.00 0.05, then the relative density would be :
a. 5.00 5%
b. 5.00 6%
c. 5.00 0.05%
d. 5.00 0.10%
53. 51 Problem
A particle moves with a constant speed but in constantly varying
direction, then the path of the particle will be :
a. Elliptical
b. Parabolic
c. Circular
d. Linear
54. 52 Problem
A soda water bottle is rotated in a horizontal circle with its neck towards the
centre of the circular path. The gas bubbles will :
a. move towards the bottom
b. move towards the neck
c. not move
d. move towards the upper side
55. 53 Problem
Mercury thermometer can be used to measure temperature upto :
a. 2600 C
b. 1000 C
c. 3750 C
d. 5000 C
56. 54 Problem
Two parallel wires carrying current in the same direction attract each other
because of :
a. Potential difference between them
b. Mutual inductance between them
c. Electric force between them
d. Magnetic force between them
57. 55 Problem
When a current is passed through a junction of two dissimilar metals, then
evolution or absorption of heat at the junction is known as :
a. Joule effect
b. See back effect
c. Peltier effect
d. Thomson effect
58. 56 Problem
When cells are arranged in parallel then :
a. The current capacity decreases
b. The current capacity increases
c. The emf increases
d. The enf decreases
59. 57 Problem
When cells are arranged in parallel then :
a. The current capacity decreases
b. The current capacity increases
c. The emf increases
d. The emf decreases
60. 58 Problem
The intensity of solar energy per square metre on earth’s surface is about :
a. 1.4 kW/m2
b. 10-4 kW/m2
c. 102 kW/w2
d. 10-1 kW/m2
61. 59 Problem
A parallel plate capacitor is charged and battery is then disconnected. If the
plates of the parallel plate capacitor are moved farther by means of insulating
handles, then :
a. The charge on the capacitor increases
b. The voltage across the plates increases
c. The capacity increases
d. The electrostatic energy stored in the capacitor increases
62. 60 Problem
When the body has the same temperature as that of surroundings :
a. It does not radiate heat
b. It radiates the same quantity of heat as it absorbs
c. It radiates les quantity of heat as it receives from surroundings
d. It radiates more quantity of heat as it receives heat from surroundings
63. 61 Problem
An electric current is passed through the nerve of the man, then man :
a. Begins to laugh
b. Begins to weep
c. Is excited
d. Becomes insensitive
64. 62 Problem
In case of closed pipe, the fundamental frequency fc is given by :
a. fc = 4lv
b. fc = 2l/v
c. fc = 2lv
d. fc = v/4l
65. 63 Problem
The equation of a transverse wave traveling on a rope is given by y = 10 sin
(0.01 x – 2.00t) where y and x are in centimeter and t in second. The maximum
transverse speed of particle in the rope is about :
a. 75 cm/s
b. 100 cm/s
c. 121 cm/s
d. 63 cm/s
66. 64 Problem
Oxygen and hydrogen gases are at same temperature and pressure and the
oxygen molecule has 16 time the mass of hydrogen molecules. Then ratio of
their rms speed is :
a. 16
b. 4
c. 1/14
d. 2
67. 65 Problem
A body falls freely from rest. It covers as much distance in the last second of its
motion as covered in the first three seconds. The body has fallen for a time of :
a. 9 s
b. 7 s
c. 5 s
d. 3 s
68. 66 Problem
If 1 mole of monatomic gas ( = 5/3) is mixed with l mole of a diatomic gas ( =
7/2). The value of of the mixture is :
a. 3.07
b. 1.53
c. 1.4
d. 1.5
69. 67 Problem
Isothermal elasticity of a gas is equal to :
a. 1
P
b. P
1
c. P
d. P
70. 68 Problem
When an ideal diatomic gas is heated at constant pressure, then fraction of
heat energy supplied, Which increases the internal energy of the gas, will be :
a. 5/7
b. 3/5
c. 5/3
d. 2/5
71. 69 Problem
Two similar wires are stretched, so as to produce 6 beats. On changing tension
slightly unchanged, denotes higher and lower tensions in the beginning by T1
and T-2, then which one of the following is correct while making the above
changes in tension ?
a. T1 was decreased
b. T2 was increased
c. T1 was increased
d. T2 was decreased
72. 70 Problem
A 220V, 50 Hz, AC source is connected to an inductance of Hz, Ac source is
connected to an inductance of 0.2 H and a resistance of 20 in series. What is
the current in the circuit ?
a. 3.33 A
b. 33. 3 A
c. 5 A
d. 10 A
73. 71 Problem
Kirchhoff’s first and second law shows respectively the conservation of :
a. Charge and linear momentum
b. Mass and energy
c. Charge and energy
d. Charge and mass
74. 72 Problem
Boiling water is changing into steam. At this stage the specific heat of water is :
a. < 1
b. infinite
c. 1
d. zero
75. 73 Problem
In a Millikan’s oil drop experiment the charge on an oil drop is calculated to be
6.35 x 10-19 C. The number of excess of electrons on the drop is :
a. 4
b. 39
c. 6
d. 4.2
76. 74 Problem
A piece of fuse wire melts when the current of 15 A flows through it. With this
current, If it dissipates 22.5 W, then the resistance of fuse wire will be :
a. 0.10 Ω
b. 1 Ω
c. 10 Ω
d. Zero
77. 75 Problem
Wavelength of light of frequency 100 Hz is :
a. 5 x 106 m
b. 4 x 106 m
c. 3 x 106 m
d. 2 x 106 m
