Page 1
CAREER POINT
MOCK TEST PAPER for AIPMT
Physics, Chemistry & Biology
Time : 3 Hours Maximum Marks : 720
IMPORTANT INSTRUCTIONS
GENERAL :
1. This paper contains 180 Qs. in all. All questions are compulsory.
2. There is Negative Marking.
3. The question paper contains blank space for your rough work. No additional sheet will be provided for rough work.
4. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.
SEAL
5. Do not break the seals of the question paper booklet before being instructed to do so by the invigilator.
6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and Electronic Gadgets in any
form are not allowed to be carried inside the examination hall.
MARKING SCHEME :
1. This paper contains, Single correct option, Sub option, Column Matching type and Diagram based question.
2. Only one option is correct out of four given options. For each incorrect response, one-mark would be deducted.
3. In Physics : Q. 1 - 45 carry 4 marks each,
In Chemistry : Q. 46 - 90 carry 4 marks each,
In Biology : Q. 91 - 180 carry 4 marks each,
Page 2
CAREER POINT
MOCK TEST PAPER for AIPMT
Physics, Chemistry & Biology
Time : 3 Hours Maximum Marks : 720
IMPORTANT INSTRUCTIONS
GENERAL :
1. This paper contains 180 Qs. in all. All questions are compulsory.
2. There is Negative Marking.
3. The question paper contains blank space for your rough work. No additional sheet will be provided for rough work.
4. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.
SEAL
5. Do not break the seals of the question paper booklet before being instructed to do so by the invigilator.
6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and Electronic Gadgets in any
form are not allowed to be carried inside the examination hall.
MARKING SCHEME :
1. This paper contains, Single correct option, Sub option, Column Matching type and Diagram based question.
2. Only one option is correct out of four given options. For each incorrect response, one-mark would be deducted.
3. In Physics : Q. 1 - 45 carry 4 marks each,
In Chemistry : Q. 46 - 90 carry 4 marks each,
In Biology : Q. 91 - 180 carry 4 marks each,
PHYSICS
CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 | www.careerpoint.ac.in 2
Q.1 An experiment measures quantities a, b, c and
then X is calculated from
3
2 2 / 1
c
b a
X = . If the
percentage error in a, b and c are ± 1%, ±3%,
and ±2%, respectively, then the percentage
error in X can be
(1) 12.5% (2) 7% (3) 1% (4) 4%
Q.2 A bullet is fired from a gun. The force on the
bullet is given by :
F = 600 – 2 × 10
5
t
Where F is in newton and t in second. The
force on the bullet becomes zero as soon as it
leaves the barrel. What is the average impulse
imparted to the bullet ?
(1) 9 N-s (2) zero
(3) 0.9 N-s (4) 1.8 N-s
Q.3 A disc of radius 0.1 m rolls without sliding on
a horizontal surface with a velocity of 6 m/s.
It then ascends a smooth continuous track as
shown in figure. The height upto which it will
ascend is- (g = 10 m/s
2
)
6 m/s
(1) 2.4 m (2) 0.9 m (3) 2.7 m (4) 1.8 m
Q.4 Water from a stream is falling on the blades
of a turbine at the rate of 100 kg/sec. If the
height of the stream is 100 m, then the power
delivered to the turbine is -
(1) 100 kW (2) 100 W
(3) 10 kW (4) 1 kW
Q.5 A uniform chain has a mass m and length l. It
is held on a frictionless table with one-sixth
of its length hanging over the edge. The work
done in just pulling the hanging part back on the
table is -
(1)
72
mgl
(2)
36
mgl
(3)
12
mgl
(4)
6
mgl
Q.6 A bomb of 12 kg mass explodes into two
pieces of masses 4 kg and 8 kg. The velocity
of 8 kg mass is 6 m s
–1
. The kinetic energy of
the other mass is -
(1) 48 J (2) 32 J (3) 24 J (4) 288 J
Q.7 A particle of mass m moving with velocity v
strikes a stationary particle of mass 2 m and
sticks to it. The speed of the system will be -
(1) v/2 (2) 2v (3) v/3 (4) 3v
Q.8 An isolated particle of mass m is moving in
the horizontal plane (x – y), along the x-axis,
at a certain height above the ground. It
suddenly explodes into two fragments of
masses m/4 and 3 m/4. An instant later, the
smaller fragment is at y = +15 cm. The larger
fragment at this instant is at -
(1) y = –5 cm (2) y = + 20 cm
(3) y = + 5 cm (4) y = –20 cm
Q.9 What is the moment of inertia of a solid
sphere of density ? and radius R about its
diameter ?
(1)
176
105
R
5
? (2)
176
105
R
2
?
(3)
105
176
R
5
? (4)
105
176
R
2
?
Q.10 A uniform rod of length l and mass m is
suspended from one of its ends and it makes n
revolutions per second. What is its rotational
energy ?
(1)
3
1
p
2
n
2
ml
2
(2)
3
2
p
2
n
2
ml
2
(3)
2
3
p
2
n
2
ml
2
(4) 3p
2
n
2
ml
2
Q.11 The KE required to make a body move to
infinity from the earth's surface is -
(1) infinite (2) 2 mgR
(3) 1/2 mgR (4) mgR
Page 3
CAREER POINT
MOCK TEST PAPER for AIPMT
Physics, Chemistry & Biology
Time : 3 Hours Maximum Marks : 720
IMPORTANT INSTRUCTIONS
GENERAL :
1. This paper contains 180 Qs. in all. All questions are compulsory.
2. There is Negative Marking.
3. The question paper contains blank space for your rough work. No additional sheet will be provided for rough work.
4. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.
SEAL
5. Do not break the seals of the question paper booklet before being instructed to do so by the invigilator.
6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and Electronic Gadgets in any
form are not allowed to be carried inside the examination hall.
MARKING SCHEME :
1. This paper contains, Single correct option, Sub option, Column Matching type and Diagram based question.
2. Only one option is correct out of four given options. For each incorrect response, one-mark would be deducted.
3. In Physics : Q. 1 - 45 carry 4 marks each,
In Chemistry : Q. 46 - 90 carry 4 marks each,
In Biology : Q. 91 - 180 carry 4 marks each,
PHYSICS
CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 | www.careerpoint.ac.in 2
Q.1 An experiment measures quantities a, b, c and
then X is calculated from
3
2 2 / 1
c
b a
X = . If the
percentage error in a, b and c are ± 1%, ±3%,
and ±2%, respectively, then the percentage
error in X can be
(1) 12.5% (2) 7% (3) 1% (4) 4%
Q.2 A bullet is fired from a gun. The force on the
bullet is given by :
F = 600 – 2 × 10
5
t
Where F is in newton and t in second. The
force on the bullet becomes zero as soon as it
leaves the barrel. What is the average impulse
imparted to the bullet ?
(1) 9 N-s (2) zero
(3) 0.9 N-s (4) 1.8 N-s
Q.3 A disc of radius 0.1 m rolls without sliding on
a horizontal surface with a velocity of 6 m/s.
It then ascends a smooth continuous track as
shown in figure. The height upto which it will
ascend is- (g = 10 m/s
2
)
6 m/s
(1) 2.4 m (2) 0.9 m (3) 2.7 m (4) 1.8 m
Q.4 Water from a stream is falling on the blades
of a turbine at the rate of 100 kg/sec. If the
height of the stream is 100 m, then the power
delivered to the turbine is -
(1) 100 kW (2) 100 W
(3) 10 kW (4) 1 kW
Q.5 A uniform chain has a mass m and length l. It
is held on a frictionless table with one-sixth
of its length hanging over the edge. The work
done in just pulling the hanging part back on the
table is -
(1)
72
mgl
(2)
36
mgl
(3)
12
mgl
(4)
6
mgl
Q.6 A bomb of 12 kg mass explodes into two
pieces of masses 4 kg and 8 kg. The velocity
of 8 kg mass is 6 m s
–1
. The kinetic energy of
the other mass is -
(1) 48 J (2) 32 J (3) 24 J (4) 288 J
Q.7 A particle of mass m moving with velocity v
strikes a stationary particle of mass 2 m and
sticks to it. The speed of the system will be -
(1) v/2 (2) 2v (3) v/3 (4) 3v
Q.8 An isolated particle of mass m is moving in
the horizontal plane (x – y), along the x-axis,
at a certain height above the ground. It
suddenly explodes into two fragments of
masses m/4 and 3 m/4. An instant later, the
smaller fragment is at y = +15 cm. The larger
fragment at this instant is at -
(1) y = –5 cm (2) y = + 20 cm
(3) y = + 5 cm (4) y = –20 cm
Q.9 What is the moment of inertia of a solid
sphere of density ? and radius R about its
diameter ?
(1)
176
105
R
5
? (2)
176
105
R
2
?
(3)
105
176
R
5
? (4)
105
176
R
2
?
Q.10 A uniform rod of length l and mass m is
suspended from one of its ends and it makes n
revolutions per second. What is its rotational
energy ?
(1)
3
1
p
2
n
2
ml
2
(2)
3
2
p
2
n
2
ml
2
(3)
2
3
p
2
n
2
ml
2
(4) 3p
2
n
2
ml
2
Q.11 The KE required to make a body move to
infinity from the earth's surface is -
(1) infinite (2) 2 mgR
(3) 1/2 mgR (4) mgR
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 3
Q.12 A disc is performing pure rolling on a smooth
stationary surface with constant angular
velocity as shown in figure. At any instant,
for the lower most point of the disc -
R
V
V/R
(1) Velocity is v, acceleration is zero
(2) Velocity is zero, acceleration is zero
(3) Velocity is v, acceleration is
R
v
2
(4) Velocity is zero, acceleration is nonzero
Q.13 The correct graph representing the variation
of total energy(E), kinetic energy(K) &
potential energy (U) of a satellite with its
distance from the centre of earth is -
(1)
E
Energy
U
r
(2)
E
K
r
U
Energy
K
(3)
K
r
U
E
Energy
(4)
K
r
U
E
Energy
Q.14 Two wires are made of the same material and
have the same volume. However wire 1 has
cross-sectional area A and wire 2 has cross-
sectional area 3A. If the length of wire 1
increases by ?x on applying force F, how
much force is needed to stretch wire 2 by the
same amount ?
(1) 4F (2) 6F
(3) 9F (4) F
Q.15 A student takes 50 gm wax (specific heat =
0.6 kcal/kg ºC) and heats it till it boils. The
graph between temperature and time is as
follows. Heat supplied to the wax per minute
and boiling point are respectively -
1
100
150
250
Temperature (ºC)
200
0
50
2 3 4 5 6 7 8
Time (Minu te)
(1) 500 cal, 50ºC (2) 1000 cal, 100ºC
(3) 1500 cal, 200ºC (4) 2000 cal, 200ºC
Q.16 The adiabatic and isothermal volume
elasticities B
f
and B
?
are related as :
(1) ? =
?
f
B
B
(2) ? =
f
?
B
B
(3) B
f
– B
?
= ? (4) B
?
– B
f
= ?
Q.17 The second law of thermodynamics implies -
(1) whole of heat can be converted into
mechanical energy
(2) no heat engine can be 100% efficient
(3) every heat engine has an efficiency of
100%
(4) a refrigerator can reduce the temperature
to absolute zero
Q.18 Consider an equimolar mixture of
monoatomic gas and diatomic gas. The heat
required to increase the temperature of n
moles of gas from T to 2T, at constant
pressure, is -
(1) (3/2) nRT (2) 3nRT
(3) 5nRT (4) 2nRT
Q.19 Two simple pendulums of lengths 1 meter
and 16 meteres respectively are both given
small displacements in the same direction at
the same instant. They will again be in phase
after the shorter pendulum has completed n
oscillations where n is -
(1)
4
1
(2) 1
3
1
(3) 5 (4) 4
Page 4
CAREER POINT
MOCK TEST PAPER for AIPMT
Physics, Chemistry & Biology
Time : 3 Hours Maximum Marks : 720
IMPORTANT INSTRUCTIONS
GENERAL :
1. This paper contains 180 Qs. in all. All questions are compulsory.
2. There is Negative Marking.
3. The question paper contains blank space for your rough work. No additional sheet will be provided for rough work.
4. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.
SEAL
5. Do not break the seals of the question paper booklet before being instructed to do so by the invigilator.
6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and Electronic Gadgets in any
form are not allowed to be carried inside the examination hall.
MARKING SCHEME :
1. This paper contains, Single correct option, Sub option, Column Matching type and Diagram based question.
2. Only one option is correct out of four given options. For each incorrect response, one-mark would be deducted.
3. In Physics : Q. 1 - 45 carry 4 marks each,
In Chemistry : Q. 46 - 90 carry 4 marks each,
In Biology : Q. 91 - 180 carry 4 marks each,
PHYSICS
CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 | www.careerpoint.ac.in 2
Q.1 An experiment measures quantities a, b, c and
then X is calculated from
3
2 2 / 1
c
b a
X = . If the
percentage error in a, b and c are ± 1%, ±3%,
and ±2%, respectively, then the percentage
error in X can be
(1) 12.5% (2) 7% (3) 1% (4) 4%
Q.2 A bullet is fired from a gun. The force on the
bullet is given by :
F = 600 – 2 × 10
5
t
Where F is in newton and t in second. The
force on the bullet becomes zero as soon as it
leaves the barrel. What is the average impulse
imparted to the bullet ?
(1) 9 N-s (2) zero
(3) 0.9 N-s (4) 1.8 N-s
Q.3 A disc of radius 0.1 m rolls without sliding on
a horizontal surface with a velocity of 6 m/s.
It then ascends a smooth continuous track as
shown in figure. The height upto which it will
ascend is- (g = 10 m/s
2
)
6 m/s
(1) 2.4 m (2) 0.9 m (3) 2.7 m (4) 1.8 m
Q.4 Water from a stream is falling on the blades
of a turbine at the rate of 100 kg/sec. If the
height of the stream is 100 m, then the power
delivered to the turbine is -
(1) 100 kW (2) 100 W
(3) 10 kW (4) 1 kW
Q.5 A uniform chain has a mass m and length l. It
is held on a frictionless table with one-sixth
of its length hanging over the edge. The work
done in just pulling the hanging part back on the
table is -
(1)
72
mgl
(2)
36
mgl
(3)
12
mgl
(4)
6
mgl
Q.6 A bomb of 12 kg mass explodes into two
pieces of masses 4 kg and 8 kg. The velocity
of 8 kg mass is 6 m s
–1
. The kinetic energy of
the other mass is -
(1) 48 J (2) 32 J (3) 24 J (4) 288 J
Q.7 A particle of mass m moving with velocity v
strikes a stationary particle of mass 2 m and
sticks to it. The speed of the system will be -
(1) v/2 (2) 2v (3) v/3 (4) 3v
Q.8 An isolated particle of mass m is moving in
the horizontal plane (x – y), along the x-axis,
at a certain height above the ground. It
suddenly explodes into two fragments of
masses m/4 and 3 m/4. An instant later, the
smaller fragment is at y = +15 cm. The larger
fragment at this instant is at -
(1) y = –5 cm (2) y = + 20 cm
(3) y = + 5 cm (4) y = –20 cm
Q.9 What is the moment of inertia of a solid
sphere of density ? and radius R about its
diameter ?
(1)
176
105
R
5
? (2)
176
105
R
2
?
(3)
105
176
R
5
? (4)
105
176
R
2
?
Q.10 A uniform rod of length l and mass m is
suspended from one of its ends and it makes n
revolutions per second. What is its rotational
energy ?
(1)
3
1
p
2
n
2
ml
2
(2)
3
2
p
2
n
2
ml
2
(3)
2
3
p
2
n
2
ml
2
(4) 3p
2
n
2
ml
2
Q.11 The KE required to make a body move to
infinity from the earth's surface is -
(1) infinite (2) 2 mgR
(3) 1/2 mgR (4) mgR
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 3
Q.12 A disc is performing pure rolling on a smooth
stationary surface with constant angular
velocity as shown in figure. At any instant,
for the lower most point of the disc -
R
V
V/R
(1) Velocity is v, acceleration is zero
(2) Velocity is zero, acceleration is zero
(3) Velocity is v, acceleration is
R
v
2
(4) Velocity is zero, acceleration is nonzero
Q.13 The correct graph representing the variation
of total energy(E), kinetic energy(K) &
potential energy (U) of a satellite with its
distance from the centre of earth is -
(1)
E
Energy
U
r
(2)
E
K
r
U
Energy
K
(3)
K
r
U
E
Energy
(4)
K
r
U
E
Energy
Q.14 Two wires are made of the same material and
have the same volume. However wire 1 has
cross-sectional area A and wire 2 has cross-
sectional area 3A. If the length of wire 1
increases by ?x on applying force F, how
much force is needed to stretch wire 2 by the
same amount ?
(1) 4F (2) 6F
(3) 9F (4) F
Q.15 A student takes 50 gm wax (specific heat =
0.6 kcal/kg ºC) and heats it till it boils. The
graph between temperature and time is as
follows. Heat supplied to the wax per minute
and boiling point are respectively -
1
100
150
250
Temperature (ºC)
200
0
50
2 3 4 5 6 7 8
Time (Minu te)
(1) 500 cal, 50ºC (2) 1000 cal, 100ºC
(3) 1500 cal, 200ºC (4) 2000 cal, 200ºC
Q.16 The adiabatic and isothermal volume
elasticities B
f
and B
?
are related as :
(1) ? =
?
f
B
B
(2) ? =
f
?
B
B
(3) B
f
– B
?
= ? (4) B
?
– B
f
= ?
Q.17 The second law of thermodynamics implies -
(1) whole of heat can be converted into
mechanical energy
(2) no heat engine can be 100% efficient
(3) every heat engine has an efficiency of
100%
(4) a refrigerator can reduce the temperature
to absolute zero
Q.18 Consider an equimolar mixture of
monoatomic gas and diatomic gas. The heat
required to increase the temperature of n
moles of gas from T to 2T, at constant
pressure, is -
(1) (3/2) nRT (2) 3nRT
(3) 5nRT (4) 2nRT
Q.19 Two simple pendulums of lengths 1 meter
and 16 meteres respectively are both given
small displacements in the same direction at
the same instant. They will again be in phase
after the shorter pendulum has completed n
oscillations where n is -
(1)
4
1
(2) 1
3
1
(3) 5 (4) 4
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 4
Q.20 The equation of a stationary wave is
y = 0.8 cos ?
?
?
?
?
? p
20
x
sin200pt, where x is in cm
and t is in sec. The separation between
consecutive nodes will be -
(1) 20 cm (2) 10 cm
(3) 40 cm (4) 30 cm
Q.21 A string of length 0.4 m and mass 10
–2
kg is
tightly clamped at its ends. The tension in the
string is 1.6 N. Identical wave pulses are
produced at one end at equal intervals of time,
?t. The minimum value of ?t which allows
constructive interference between successive
pulses is -
(1) 0.05 s (2) 0.10 s
(3) 0.20 s (4) 0.40 s
Q.22 The property of medium necessary for wave
propagation is its -
(1) Inertia (2) Elasticity
(3) Low resistance (4) All of above
Q.23 The arc AB with the centre C and the
infinitely long wire having linear charge
density ? are lying in the same plane. The
minimum amount of work to be done to move
a point charge q
0
from point A to B through a
circular path AB of radius a is equal to -
+
+
+
+
+
+
+
+
B
A C
a
2a
(1) ?
?
?
?
?
?
pe 3
2
log
2
q
0
2
0
(2) ?
?
?
?
?
?
pe
?
2
3
log
2
q
0
0
(3) ?
?
?
?
?
?
pe
?
3
2
log
2
q
0
0
(4) q
0
?/ 2 pe
0
Q.24 How many 1 µF capacitors must be
connected in parallel to store a charge of 1 C
with a potential difference of 500 V across
the capacitors ?
(1) 1000 (2) 200
(3) 20 (4) 2000
Q.25 Two electric bulbs 40 W, 200 V and 100 W,
200 V are connected in series. Then the
maximum voltage that can be applied across
the combination, without fusing either bulb
(in V) is -
(1) 280 (2) 400 (3) 300 (4) 200
Q.26 R
AB
is -
R
A
B
R
R R
R R
R R R
R R R
(1) R (2) R
2
3
(3) 2R (4)
2
R
Q.27 Shown in the figure given below is a meter-
bridge set up with null deflection in the
galvanometer. The value of l is -
G
3R
l cm 100 – l
R
(1) 75 cm (2) 25 cm
(3) 50 cm (4) 5 cm
Q.28 A rectangular loop carrying a current i is
situated near a long straight wire such that the
wire is parallel to one of the sides of the loop
and is in the plane of the loop. If a steady
current I is established in the wire as shown
in the figure, the loop will -
A B
D C
i
i
i i
I
(1) rotate about an axis parallel to the wire
(2) move away from the wire
(3) move towards the wire
(4) remain stationary
Page 5
CAREER POINT
MOCK TEST PAPER for AIPMT
Physics, Chemistry & Biology
Time : 3 Hours Maximum Marks : 720
IMPORTANT INSTRUCTIONS
GENERAL :
1. This paper contains 180 Qs. in all. All questions are compulsory.
2. There is Negative Marking.
3. The question paper contains blank space for your rough work. No additional sheet will be provided for rough work.
4. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.
SEAL
5. Do not break the seals of the question paper booklet before being instructed to do so by the invigilator.
6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and Electronic Gadgets in any
form are not allowed to be carried inside the examination hall.
MARKING SCHEME :
1. This paper contains, Single correct option, Sub option, Column Matching type and Diagram based question.
2. Only one option is correct out of four given options. For each incorrect response, one-mark would be deducted.
3. In Physics : Q. 1 - 45 carry 4 marks each,
In Chemistry : Q. 46 - 90 carry 4 marks each,
In Biology : Q. 91 - 180 carry 4 marks each,
PHYSICS
CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 | www.careerpoint.ac.in 2
Q.1 An experiment measures quantities a, b, c and
then X is calculated from
3
2 2 / 1
c
b a
X = . If the
percentage error in a, b and c are ± 1%, ±3%,
and ±2%, respectively, then the percentage
error in X can be
(1) 12.5% (2) 7% (3) 1% (4) 4%
Q.2 A bullet is fired from a gun. The force on the
bullet is given by :
F = 600 – 2 × 10
5
t
Where F is in newton and t in second. The
force on the bullet becomes zero as soon as it
leaves the barrel. What is the average impulse
imparted to the bullet ?
(1) 9 N-s (2) zero
(3) 0.9 N-s (4) 1.8 N-s
Q.3 A disc of radius 0.1 m rolls without sliding on
a horizontal surface with a velocity of 6 m/s.
It then ascends a smooth continuous track as
shown in figure. The height upto which it will
ascend is- (g = 10 m/s
2
)
6 m/s
(1) 2.4 m (2) 0.9 m (3) 2.7 m (4) 1.8 m
Q.4 Water from a stream is falling on the blades
of a turbine at the rate of 100 kg/sec. If the
height of the stream is 100 m, then the power
delivered to the turbine is -
(1) 100 kW (2) 100 W
(3) 10 kW (4) 1 kW
Q.5 A uniform chain has a mass m and length l. It
is held on a frictionless table with one-sixth
of its length hanging over the edge. The work
done in just pulling the hanging part back on the
table is -
(1)
72
mgl
(2)
36
mgl
(3)
12
mgl
(4)
6
mgl
Q.6 A bomb of 12 kg mass explodes into two
pieces of masses 4 kg and 8 kg. The velocity
of 8 kg mass is 6 m s
–1
. The kinetic energy of
the other mass is -
(1) 48 J (2) 32 J (3) 24 J (4) 288 J
Q.7 A particle of mass m moving with velocity v
strikes a stationary particle of mass 2 m and
sticks to it. The speed of the system will be -
(1) v/2 (2) 2v (3) v/3 (4) 3v
Q.8 An isolated particle of mass m is moving in
the horizontal plane (x – y), along the x-axis,
at a certain height above the ground. It
suddenly explodes into two fragments of
masses m/4 and 3 m/4. An instant later, the
smaller fragment is at y = +15 cm. The larger
fragment at this instant is at -
(1) y = –5 cm (2) y = + 20 cm
(3) y = + 5 cm (4) y = –20 cm
Q.9 What is the moment of inertia of a solid
sphere of density ? and radius R about its
diameter ?
(1)
176
105
R
5
? (2)
176
105
R
2
?
(3)
105
176
R
5
? (4)
105
176
R
2
?
Q.10 A uniform rod of length l and mass m is
suspended from one of its ends and it makes n
revolutions per second. What is its rotational
energy ?
(1)
3
1
p
2
n
2
ml
2
(2)
3
2
p
2
n
2
ml
2
(3)
2
3
p
2
n
2
ml
2
(4) 3p
2
n
2
ml
2
Q.11 The KE required to make a body move to
infinity from the earth's surface is -
(1) infinite (2) 2 mgR
(3) 1/2 mgR (4) mgR
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 3
Q.12 A disc is performing pure rolling on a smooth
stationary surface with constant angular
velocity as shown in figure. At any instant,
for the lower most point of the disc -
R
V
V/R
(1) Velocity is v, acceleration is zero
(2) Velocity is zero, acceleration is zero
(3) Velocity is v, acceleration is
R
v
2
(4) Velocity is zero, acceleration is nonzero
Q.13 The correct graph representing the variation
of total energy(E), kinetic energy(K) &
potential energy (U) of a satellite with its
distance from the centre of earth is -
(1)
E
Energy
U
r
(2)
E
K
r
U
Energy
K
(3)
K
r
U
E
Energy
(4)
K
r
U
E
Energy
Q.14 Two wires are made of the same material and
have the same volume. However wire 1 has
cross-sectional area A and wire 2 has cross-
sectional area 3A. If the length of wire 1
increases by ?x on applying force F, how
much force is needed to stretch wire 2 by the
same amount ?
(1) 4F (2) 6F
(3) 9F (4) F
Q.15 A student takes 50 gm wax (specific heat =
0.6 kcal/kg ºC) and heats it till it boils. The
graph between temperature and time is as
follows. Heat supplied to the wax per minute
and boiling point are respectively -
1
100
150
250
Temperature (ºC)
200
0
50
2 3 4 5 6 7 8
Time (Minu te)
(1) 500 cal, 50ºC (2) 1000 cal, 100ºC
(3) 1500 cal, 200ºC (4) 2000 cal, 200ºC
Q.16 The adiabatic and isothermal volume
elasticities B
f
and B
?
are related as :
(1) ? =
?
f
B
B
(2) ? =
f
?
B
B
(3) B
f
– B
?
= ? (4) B
?
– B
f
= ?
Q.17 The second law of thermodynamics implies -
(1) whole of heat can be converted into
mechanical energy
(2) no heat engine can be 100% efficient
(3) every heat engine has an efficiency of
100%
(4) a refrigerator can reduce the temperature
to absolute zero
Q.18 Consider an equimolar mixture of
monoatomic gas and diatomic gas. The heat
required to increase the temperature of n
moles of gas from T to 2T, at constant
pressure, is -
(1) (3/2) nRT (2) 3nRT
(3) 5nRT (4) 2nRT
Q.19 Two simple pendulums of lengths 1 meter
and 16 meteres respectively are both given
small displacements in the same direction at
the same instant. They will again be in phase
after the shorter pendulum has completed n
oscillations where n is -
(1)
4
1
(2) 1
3
1
(3) 5 (4) 4
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 4
Q.20 The equation of a stationary wave is
y = 0.8 cos ?
?
?
?
?
? p
20
x
sin200pt, where x is in cm
and t is in sec. The separation between
consecutive nodes will be -
(1) 20 cm (2) 10 cm
(3) 40 cm (4) 30 cm
Q.21 A string of length 0.4 m and mass 10
–2
kg is
tightly clamped at its ends. The tension in the
string is 1.6 N. Identical wave pulses are
produced at one end at equal intervals of time,
?t. The minimum value of ?t which allows
constructive interference between successive
pulses is -
(1) 0.05 s (2) 0.10 s
(3) 0.20 s (4) 0.40 s
Q.22 The property of medium necessary for wave
propagation is its -
(1) Inertia (2) Elasticity
(3) Low resistance (4) All of above
Q.23 The arc AB with the centre C and the
infinitely long wire having linear charge
density ? are lying in the same plane. The
minimum amount of work to be done to move
a point charge q
0
from point A to B through a
circular path AB of radius a is equal to -
+
+
+
+
+
+
+
+
B
A C
a
2a
(1) ?
?
?
?
?
?
pe 3
2
log
2
q
0
2
0
(2) ?
?
?
?
?
?
pe
?
2
3
log
2
q
0
0
(3) ?
?
?
?
?
?
pe
?
3
2
log
2
q
0
0
(4) q
0
?/ 2 pe
0
Q.24 How many 1 µF capacitors must be
connected in parallel to store a charge of 1 C
with a potential difference of 500 V across
the capacitors ?
(1) 1000 (2) 200
(3) 20 (4) 2000
Q.25 Two electric bulbs 40 W, 200 V and 100 W,
200 V are connected in series. Then the
maximum voltage that can be applied across
the combination, without fusing either bulb
(in V) is -
(1) 280 (2) 400 (3) 300 (4) 200
Q.26 R
AB
is -
R
A
B
R
R R
R R
R R R
R R R
(1) R (2) R
2
3
(3) 2R (4)
2
R
Q.27 Shown in the figure given below is a meter-
bridge set up with null deflection in the
galvanometer. The value of l is -
G
3R
l cm 100 – l
R
(1) 75 cm (2) 25 cm
(3) 50 cm (4) 5 cm
Q.28 A rectangular loop carrying a current i is
situated near a long straight wire such that the
wire is parallel to one of the sides of the loop
and is in the plane of the loop. If a steady
current I is established in the wire as shown
in the figure, the loop will -
A B
D C
i
i
i i
I
(1) rotate about an axis parallel to the wire
(2) move away from the wire
(3) move towards the wire
(4) remain stationary
CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744-5151200 5
Q.29 The distance between rails is 2 m, which is
along south-north direction. Vertical
component of the earth magnetic field is 1.25
× 10
–4
tesla. If the speed of the train is 4 m/s,
then induced emf across the axle is -
(1) 10
–4
V (2) 10
–2
V
(3) 10
–1
V (4) 10
–3
V
Q.30 A single, continuous loop of conducting wire
is mounted on a glider, which travels on a
frictionless air track with an initial velocity v.
When the front edge of the loop enters the
magnetic field B pointing into the page as
shown
v
loop of wire
×
×
×
×
×
×
B
(glider on frictionless air track)
(1) there is a clockwise current in the loop
and the glider slows down
(2) there is a counterclockwise current in the
loop and the glider slows down
(3) there is a clockwise current in the loop
and the glider speed up
(4) there is a counterclockwise current in the
loop and the glider speeds up
Q.31 An object is approaching a fixed plane mirror
with velocity 5 m/s making an angle of 45º
with the normal. The speed of image with
respect to mirror is-
(1) 5 m/s (2)
2
5
m/s
(3) 2 5 m/s (4) 10 m/s
Q.32 Two coherent point sources s
1
and s
2
vibrating in phase emit light of wavelength ?.
The separation between the sources is 2?. The
smallest distance from s
2
on a line passing
through s
2
and perpendicular to s
1
s
2
, where a
minimum of intensity occurs is -
(1)
12
7?
(2)
4
15?
(3)
2
?
(4)
4
3?
Q.33 Consider the circuit below. A resistor R,
inductor L, and capacitor C are connected in
parallel across an alternating voltage source.
Which statement(s) is (are) correct ?
~
V
P
sin (?t) R L C
I. The addition of instantaneous current
through each element give the
instantaneous current provided by the
driving source.
II. The addition of instantaneous voltages
across each element give the instantaneous
voltage of the driving source.
III. The voltage across C is 90° out of phase
with the voltage across R.
IV. The voltage across C is 180° out of phase
with the voltage across L.
V. All energy is dissipated by the resistor.
(1) Only I and V are correct
(2) Only II and V are correct
(3) Only I, IV and V are correct
(4) Only II, IV and V are correct
Q.34 A compound microscope has magnifying
power as 32 and magnifying power of eye-
piece is 4, then the magnifying power of
objective is -
(1) 8 (2) 10
(3) 6 (4) 12
Q.35 In a double-slit experiment, instead of taking
slits of equal width, one slit is made twice as
wide as the other. Then in the interference
pattern -
(1) the intensities of both the maxima and the
minima increase
(2) the intensity of the maxima increases and
the minima has zero intensity
(3) the intensity of the maxima decrease and
that of the minima increase
(4) the intensity of the maxima decrease and
the minima has zero intensity
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