Page 1
INSTRUCTIONS
· This question paper contains total 150 questions divided into four parts:
Part I : Physics Q. No. 1 to 40
Part II : Chemistry Q. No. 41 to 80
Part III : (A) English Proficiency Q. No. 81 to 95
(B) Logical Reasoning Q. No. 96 to 105
Part IV : Mathematics Q. No. 106 to 150
· All questions are multiple choice questions with four options, only one of them is correct.
· Each correct answer awarded 3 marks and –1 for each incorrect answer.
· Duration of paper-3 Hours
PART - I : PHYSICS
1. Which one of the following graphs represents
the variation of electric field with distance r from
the centre of a charged spherical conductor of
radius R?
(a)
r = R
r
E
(b)
r = R
r
E
(c)
r = R
r
E
(d)
r = R
r
E
2. If E
r
and B
r
are the electric and magnetic field
vectors of e.m. waves then the direction of
propagation of e.m. wave is along the direction of
(a)
E
r
(b)
B
r
(c)
B E
r r
´
(d) None of these
3. The young's modulus of a wire of length L and
radius r is Y N/m
2
. If the length and radius are
reduced to L/2 and r/2, then its young's
modulus will be
(a) Y/2 (b) Y (c) 2Y (d) 4 Y
4. Twelve resistors each of resistance 16 W are
connected in the circuit as shown. The net
resistance between A and B is
A B
(a)1W (b) 2 W
(c)3W (d) 4 W
5. The time period of a satellite of earth is 5 hours.
If the separation between the earth and the
satellite is increased to 4 times the previous value,
the new time period will become
(a) 10 hours (b) 80 hours
(c) 40 hours (d) 20 hours
6. Two trains are moving towards each other with
speeds of 20 m/s and 15 m/s relative to the
ground. The first train sounds a whistle of
frequency 600 Hz. The frequency of the whistle
heard by a passenger in the second train before
the train meets, is (the speed of sound in air is
340 m/s)
(a) 600 H z (b) 585 H z
(c) 645 H z (d) 666 H z
Page 2
INSTRUCTIONS
· This question paper contains total 150 questions divided into four parts:
Part I : Physics Q. No. 1 to 40
Part II : Chemistry Q. No. 41 to 80
Part III : (A) English Proficiency Q. No. 81 to 95
(B) Logical Reasoning Q. No. 96 to 105
Part IV : Mathematics Q. No. 106 to 150
· All questions are multiple choice questions with four options, only one of them is correct.
· Each correct answer awarded 3 marks and –1 for each incorrect answer.
· Duration of paper-3 Hours
PART - I : PHYSICS
1. Which one of the following graphs represents
the variation of electric field with distance r from
the centre of a charged spherical conductor of
radius R?
(a)
r = R
r
E
(b)
r = R
r
E
(c)
r = R
r
E
(d)
r = R
r
E
2. If E
r
and B
r
are the electric and magnetic field
vectors of e.m. waves then the direction of
propagation of e.m. wave is along the direction of
(a)
E
r
(b)
B
r
(c)
B E
r r
´
(d) None of these
3. The young's modulus of a wire of length L and
radius r is Y N/m
2
. If the length and radius are
reduced to L/2 and r/2, then its young's
modulus will be
(a) Y/2 (b) Y (c) 2Y (d) 4 Y
4. Twelve resistors each of resistance 16 W are
connected in the circuit as shown. The net
resistance between A and B is
A B
(a)1W (b) 2 W
(c)3W (d) 4 W
5. The time period of a satellite of earth is 5 hours.
If the separation between the earth and the
satellite is increased to 4 times the previous value,
the new time period will become
(a) 10 hours (b) 80 hours
(c) 40 hours (d) 20 hours
6. Two trains are moving towards each other with
speeds of 20 m/s and 15 m/s relative to the
ground. The first train sounds a whistle of
frequency 600 Hz. The frequency of the whistle
heard by a passenger in the second train before
the train meets, is (the speed of sound in air is
340 m/s)
(a) 600 H z (b) 585 H z
(c) 645 H z (d) 666 H z
7. Y ou are asked to design a shaving mirror assuming
that a person keeps it 10 cm from his face and
views the magnified image of the face at the closest
comfortable distance of 25 cm. The radius of
curvature of the mirror would then be :
(a) 60 cm (b) –24 cm
(c) – 60 cm (d) 24 cm
8. A block is kept on a frictionless inclined surface
with angle of inclination ‘ a ’ . The incline is given
an acceleration ‘a’ to keep the block stationary .
Then ‘a’ is equal to
a
(a) g coseca
(b) g/tan a
(c) g tan a
(d) g
9. W ith the increase in temperature, the angle o f contact
(a) decreases
(b) increases
(c) remains constant
(d) sometimes increases and sometimes
decreases
10. Forward biasing is that in which applied voltage
(a) increases potential barrier
(b) cancels the potential barrier
(c) is equal to 1.5 volt
(d) None of these
11. Number of significant figures in expression
3
4.327g
2.51cm
is
(a)2 (b) 4 (c)3 (d) 5
12. The ratio of the specific heats
p
v
C
C
=g
in terms
of degrees of freedom (n) is given by
(a)
n
1
3
æö
+
ç÷
èø
(b)
2
1
n
æö
+
ç÷
èø
(c)
n
1
2
æö
+
ç÷
èø
(d)
1
1
n
æö
+
ç÷
èø
13. A stone is thrown with a velocity u making an
angle q with the horizontal. The horizontal
distance covered by its fall to ground is maximum
when the angle q is equal to
(a) 0º (b) 30º (c) 45º (d) 90º
14. A ball of mass 150 g, moving with an acceleration
20 m/s
2
, is hit by a force, which acts on it for 0.1
sec. The impulsive force is
(a) 0.5 N (b) 0.1 N (c) 0.3 N (d) 1.2 N
15. A man drags a block through 10 m on rough
surface (µ = 0.5). A force of 3 kN acting at 30°
to the horizontal. The work done by applied force
is
(a) zero (b) 7.5 kJ (c) 5 kJ (d) 10 kJ
16. A force of
ˆ ˆˆ
2 34 i jk ++ N acts on a body for 4
second, produces a displacement of
ˆ ˆˆ
(3 4 5 )m ++ i jk . The power used is
(a) 9.5 W (b) 7.5 W (c) 6.5 W (d) 4.5 W
17. The Earth is assumed to be a sphere of radius R.
A platform is arranged at a height R from the
surface of the Earth. The escape velocity of a
body from this platform is fv, where v is its escape
velocity from the surface of the Earth. The value
of f is
(a)
1
3
(b)
1
2
(c)
2
(d)
1
2
18. Kepler’s second law regarding constancy of
areal velocity of a planet is a consequence of
the law of conservation of
(a) Energy
(b) Angular momentum
(c) Linear momentum
(d) None of these
19. Water is flowing through a horizontal tube
having cross-sectional areas of its two ends
being A and A¢ such that the ratio A/A¢ is 5. If the
pressure difference of water between the two
ends is 3 × 10
5
N m
–2
, the velocity of water with
which it enters the tube will be (neglect gravity
effects)
(a) 5 m s
–1
(b) 10 m s
–1
(c) 25 m s
–1
(d)
50 10
m s
–1
20. A thermodynamic system is taken from state A
to B along ACB and is brought back to A along
BDA as shown in the PV diagram. The net work
done during the complete cycle is given by the
area
(a) P
1
ACBP
2
P
1
P
P
2
P
1
V
A
B
B¢ A¢
C
D
(b) ACBB'A'A
(c) ACBDA
(d) ADBB'A'A
Page 3
INSTRUCTIONS
· This question paper contains total 150 questions divided into four parts:
Part I : Physics Q. No. 1 to 40
Part II : Chemistry Q. No. 41 to 80
Part III : (A) English Proficiency Q. No. 81 to 95
(B) Logical Reasoning Q. No. 96 to 105
Part IV : Mathematics Q. No. 106 to 150
· All questions are multiple choice questions with four options, only one of them is correct.
· Each correct answer awarded 3 marks and –1 for each incorrect answer.
· Duration of paper-3 Hours
PART - I : PHYSICS
1. Which one of the following graphs represents
the variation of electric field with distance r from
the centre of a charged spherical conductor of
radius R?
(a)
r = R
r
E
(b)
r = R
r
E
(c)
r = R
r
E
(d)
r = R
r
E
2. If E
r
and B
r
are the electric and magnetic field
vectors of e.m. waves then the direction of
propagation of e.m. wave is along the direction of
(a)
E
r
(b)
B
r
(c)
B E
r r
´
(d) None of these
3. The young's modulus of a wire of length L and
radius r is Y N/m
2
. If the length and radius are
reduced to L/2 and r/2, then its young's
modulus will be
(a) Y/2 (b) Y (c) 2Y (d) 4 Y
4. Twelve resistors each of resistance 16 W are
connected in the circuit as shown. The net
resistance between A and B is
A B
(a)1W (b) 2 W
(c)3W (d) 4 W
5. The time period of a satellite of earth is 5 hours.
If the separation between the earth and the
satellite is increased to 4 times the previous value,
the new time period will become
(a) 10 hours (b) 80 hours
(c) 40 hours (d) 20 hours
6. Two trains are moving towards each other with
speeds of 20 m/s and 15 m/s relative to the
ground. The first train sounds a whistle of
frequency 600 Hz. The frequency of the whistle
heard by a passenger in the second train before
the train meets, is (the speed of sound in air is
340 m/s)
(a) 600 H z (b) 585 H z
(c) 645 H z (d) 666 H z
7. Y ou are asked to design a shaving mirror assuming
that a person keeps it 10 cm from his face and
views the magnified image of the face at the closest
comfortable distance of 25 cm. The radius of
curvature of the mirror would then be :
(a) 60 cm (b) –24 cm
(c) – 60 cm (d) 24 cm
8. A block is kept on a frictionless inclined surface
with angle of inclination ‘ a ’ . The incline is given
an acceleration ‘a’ to keep the block stationary .
Then ‘a’ is equal to
a
(a) g coseca
(b) g/tan a
(c) g tan a
(d) g
9. W ith the increase in temperature, the angle o f contact
(a) decreases
(b) increases
(c) remains constant
(d) sometimes increases and sometimes
decreases
10. Forward biasing is that in which applied voltage
(a) increases potential barrier
(b) cancels the potential barrier
(c) is equal to 1.5 volt
(d) None of these
11. Number of significant figures in expression
3
4.327g
2.51cm
is
(a)2 (b) 4 (c)3 (d) 5
12. The ratio of the specific heats
p
v
C
C
=g
in terms
of degrees of freedom (n) is given by
(a)
n
1
3
æö
+
ç÷
èø
(b)
2
1
n
æö
+
ç÷
èø
(c)
n
1
2
æö
+
ç÷
èø
(d)
1
1
n
æö
+
ç÷
èø
13. A stone is thrown with a velocity u making an
angle q with the horizontal. The horizontal
distance covered by its fall to ground is maximum
when the angle q is equal to
(a) 0º (b) 30º (c) 45º (d) 90º
14. A ball of mass 150 g, moving with an acceleration
20 m/s
2
, is hit by a force, which acts on it for 0.1
sec. The impulsive force is
(a) 0.5 N (b) 0.1 N (c) 0.3 N (d) 1.2 N
15. A man drags a block through 10 m on rough
surface (µ = 0.5). A force of 3 kN acting at 30°
to the horizontal. The work done by applied force
is
(a) zero (b) 7.5 kJ (c) 5 kJ (d) 10 kJ
16. A force of
ˆ ˆˆ
2 34 i jk ++ N acts on a body for 4
second, produces a displacement of
ˆ ˆˆ
(3 4 5 )m ++ i jk . The power used is
(a) 9.5 W (b) 7.5 W (c) 6.5 W (d) 4.5 W
17. The Earth is assumed to be a sphere of radius R.
A platform is arranged at a height R from the
surface of the Earth. The escape velocity of a
body from this platform is fv, where v is its escape
velocity from the surface of the Earth. The value
of f is
(a)
1
3
(b)
1
2
(c)
2
(d)
1
2
18. Kepler’s second law regarding constancy of
areal velocity of a planet is a consequence of
the law of conservation of
(a) Energy
(b) Angular momentum
(c) Linear momentum
(d) None of these
19. Water is flowing through a horizontal tube
having cross-sectional areas of its two ends
being A and A¢ such that the ratio A/A¢ is 5. If the
pressure difference of water between the two
ends is 3 × 10
5
N m
–2
, the velocity of water with
which it enters the tube will be (neglect gravity
effects)
(a) 5 m s
–1
(b) 10 m s
–1
(c) 25 m s
–1
(d)
50 10
m s
–1
20. A thermodynamic system is taken from state A
to B along ACB and is brought back to A along
BDA as shown in the PV diagram. The net work
done during the complete cycle is given by the
area
(a) P
1
ACBP
2
P
1
P
P
2
P
1
V
A
B
B¢ A¢
C
D
(b) ACBB'A'A
(c) ACBDA
(d) ADBB'A'A
21. A boat crosses a river from port A to port B,
which are just on the opposite side. The speed
of the water is V
w
and that of boat is V
B
relative
to still water. Assume V
w
= 2V
w
. What is the
time taken by the boat, if it has to cross the river
directly on the AB line [D = width of the river]
(a)
B
2D
V3
(b)
B
3D
2V
(c)
B
D
V2
(d)
B
D2
V
22. Two springs, of force constants k
1
and k
2
are
connected to a mass m as shown. The frequency
of oscillation of the mass is f. If both k
1
and k
2
are made four times their original values, the
frequency of oscillation becomes
k
2
k
1
m
(a) 2 f (b) f /2 (c) f /4 (d) 4 f
23. When a potential difference V is applied across
a conductor at a temperature T, the drift velocity
of electrons is proportional to
(a)
V
(b) V (c)
T
(d) T
24. The amplitude of a damped oscillator becomes
rd
1
3
æö
ç÷
èø
in 2 seconds. If its amplitude after 6
seconds is
1
n
times the original amplitude, the
value of n is
(a)3
2
(b) 3
3
(c)
3
3 (d) 2
3
25. The angular speed of the electron in the n
th
orbit
of Bohr hydrogen atom is
(a) directly proportional to n
(b) inversely proportional to
n
(c) inversely proportional to n
2
(d) inversely proportional to n
3
26. In the given figure, the charge on 3 µF capacitor is
10V
2µF 3µF 6µF
(a) 10 µC (b) 15 µC
(c) 30 µC (d) 5 µC
27. Two bodies A and B are placed in an evacuated
vessel maintained at a temperature of 27ºC. The
temperature of A is 327ºC and that of B is 227ºC.
The ratio of heat loss from A and B is about
(a) 2 : 1 (b) 1 : 2 (c) 4 : 1 (d) 1 : 4
28. If a rigid body is rotating about an axis with a
constant velocity, then
(a) V elocity , Angular velocity of all particles will
be same
(b) V elocity , Angular velocity of all particles will
be different
(c) V elocity of all particles will be different but
angular velocity will be same.
(d) Angular velocity of all particles will be
different but velocity will be same.
29. The fundamental frequency of an open organ
pipe is 300 Hz. The first overtone of this pipe
has same frequency as first overtone of a closed
organ pipe. If speed of sound is 330 m/s, then
the length of closed organ pipe is
(a) 41 cm (b) 30 cm (c) 45 cm (d) 35 cm
30. In Y oung¢s experiment, the distance between the
slits is reduced to half and the distance between
the slit and screen is doubled, then the fringe
width
(a) will not change
(b) will become half
(c) will be doubled
(d) will become four times
31. If a rolling body’s angular momentum changes
by 20 Sl units in 3 seconds, by a constant torque.
Then find the torque on the body
(a) 20/3 Sl units (b) 100/3 Sl units
(c) 20 Sl units (d) 5 Sl units
32. Charge Q is distributed to two different metallic
spheres having radii x and 2x such that both
spheres have equal surface charge density , then
charge on large sphere is
(a)
4Q
5
(b)
Q
5
(c)
3Q
5
(d)
5Q
4
33. In an LR circuit f = 50 Hz, L=2 H, E=5 volts,
R=1 W then energy stored in inductor is
(a) 50 J (b) 25 J
(c) 100 J (d) None of these
34. A straight wire of length 0.5 metre and carrying a
current of 1.2 ampere is placed in uniform
magnetic field of induction 2 tesla. The magnetic
field is perpendicular to the length of the wire.
The force on the wire is
(a) 2.4 N (b) 1.2 N (c) 3.0 N (d) 2.0 N
Page 4
INSTRUCTIONS
· This question paper contains total 150 questions divided into four parts:
Part I : Physics Q. No. 1 to 40
Part II : Chemistry Q. No. 41 to 80
Part III : (A) English Proficiency Q. No. 81 to 95
(B) Logical Reasoning Q. No. 96 to 105
Part IV : Mathematics Q. No. 106 to 150
· All questions are multiple choice questions with four options, only one of them is correct.
· Each correct answer awarded 3 marks and –1 for each incorrect answer.
· Duration of paper-3 Hours
PART - I : PHYSICS
1. Which one of the following graphs represents
the variation of electric field with distance r from
the centre of a charged spherical conductor of
radius R?
(a)
r = R
r
E
(b)
r = R
r
E
(c)
r = R
r
E
(d)
r = R
r
E
2. If E
r
and B
r
are the electric and magnetic field
vectors of e.m. waves then the direction of
propagation of e.m. wave is along the direction of
(a)
E
r
(b)
B
r
(c)
B E
r r
´
(d) None of these
3. The young's modulus of a wire of length L and
radius r is Y N/m
2
. If the length and radius are
reduced to L/2 and r/2, then its young's
modulus will be
(a) Y/2 (b) Y (c) 2Y (d) 4 Y
4. Twelve resistors each of resistance 16 W are
connected in the circuit as shown. The net
resistance between A and B is
A B
(a)1W (b) 2 W
(c)3W (d) 4 W
5. The time period of a satellite of earth is 5 hours.
If the separation between the earth and the
satellite is increased to 4 times the previous value,
the new time period will become
(a) 10 hours (b) 80 hours
(c) 40 hours (d) 20 hours
6. Two trains are moving towards each other with
speeds of 20 m/s and 15 m/s relative to the
ground. The first train sounds a whistle of
frequency 600 Hz. The frequency of the whistle
heard by a passenger in the second train before
the train meets, is (the speed of sound in air is
340 m/s)
(a) 600 H z (b) 585 H z
(c) 645 H z (d) 666 H z
7. Y ou are asked to design a shaving mirror assuming
that a person keeps it 10 cm from his face and
views the magnified image of the face at the closest
comfortable distance of 25 cm. The radius of
curvature of the mirror would then be :
(a) 60 cm (b) –24 cm
(c) – 60 cm (d) 24 cm
8. A block is kept on a frictionless inclined surface
with angle of inclination ‘ a ’ . The incline is given
an acceleration ‘a’ to keep the block stationary .
Then ‘a’ is equal to
a
(a) g coseca
(b) g/tan a
(c) g tan a
(d) g
9. W ith the increase in temperature, the angle o f contact
(a) decreases
(b) increases
(c) remains constant
(d) sometimes increases and sometimes
decreases
10. Forward biasing is that in which applied voltage
(a) increases potential barrier
(b) cancels the potential barrier
(c) is equal to 1.5 volt
(d) None of these
11. Number of significant figures in expression
3
4.327g
2.51cm
is
(a)2 (b) 4 (c)3 (d) 5
12. The ratio of the specific heats
p
v
C
C
=g
in terms
of degrees of freedom (n) is given by
(a)
n
1
3
æö
+
ç÷
èø
(b)
2
1
n
æö
+
ç÷
èø
(c)
n
1
2
æö
+
ç÷
èø
(d)
1
1
n
æö
+
ç÷
èø
13. A stone is thrown with a velocity u making an
angle q with the horizontal. The horizontal
distance covered by its fall to ground is maximum
when the angle q is equal to
(a) 0º (b) 30º (c) 45º (d) 90º
14. A ball of mass 150 g, moving with an acceleration
20 m/s
2
, is hit by a force, which acts on it for 0.1
sec. The impulsive force is
(a) 0.5 N (b) 0.1 N (c) 0.3 N (d) 1.2 N
15. A man drags a block through 10 m on rough
surface (µ = 0.5). A force of 3 kN acting at 30°
to the horizontal. The work done by applied force
is
(a) zero (b) 7.5 kJ (c) 5 kJ (d) 10 kJ
16. A force of
ˆ ˆˆ
2 34 i jk ++ N acts on a body for 4
second, produces a displacement of
ˆ ˆˆ
(3 4 5 )m ++ i jk . The power used is
(a) 9.5 W (b) 7.5 W (c) 6.5 W (d) 4.5 W
17. The Earth is assumed to be a sphere of radius R.
A platform is arranged at a height R from the
surface of the Earth. The escape velocity of a
body from this platform is fv, where v is its escape
velocity from the surface of the Earth. The value
of f is
(a)
1
3
(b)
1
2
(c)
2
(d)
1
2
18. Kepler’s second law regarding constancy of
areal velocity of a planet is a consequence of
the law of conservation of
(a) Energy
(b) Angular momentum
(c) Linear momentum
(d) None of these
19. Water is flowing through a horizontal tube
having cross-sectional areas of its two ends
being A and A¢ such that the ratio A/A¢ is 5. If the
pressure difference of water between the two
ends is 3 × 10
5
N m
–2
, the velocity of water with
which it enters the tube will be (neglect gravity
effects)
(a) 5 m s
–1
(b) 10 m s
–1
(c) 25 m s
–1
(d)
50 10
m s
–1
20. A thermodynamic system is taken from state A
to B along ACB and is brought back to A along
BDA as shown in the PV diagram. The net work
done during the complete cycle is given by the
area
(a) P
1
ACBP
2
P
1
P
P
2
P
1
V
A
B
B¢ A¢
C
D
(b) ACBB'A'A
(c) ACBDA
(d) ADBB'A'A
21. A boat crosses a river from port A to port B,
which are just on the opposite side. The speed
of the water is V
w
and that of boat is V
B
relative
to still water. Assume V
w
= 2V
w
. What is the
time taken by the boat, if it has to cross the river
directly on the AB line [D = width of the river]
(a)
B
2D
V3
(b)
B
3D
2V
(c)
B
D
V2
(d)
B
D2
V
22. Two springs, of force constants k
1
and k
2
are
connected to a mass m as shown. The frequency
of oscillation of the mass is f. If both k
1
and k
2
are made four times their original values, the
frequency of oscillation becomes
k
2
k
1
m
(a) 2 f (b) f /2 (c) f /4 (d) 4 f
23. When a potential difference V is applied across
a conductor at a temperature T, the drift velocity
of electrons is proportional to
(a)
V
(b) V (c)
T
(d) T
24. The amplitude of a damped oscillator becomes
rd
1
3
æö
ç÷
èø
in 2 seconds. If its amplitude after 6
seconds is
1
n
times the original amplitude, the
value of n is
(a)3
2
(b) 3
3
(c)
3
3 (d) 2
3
25. The angular speed of the electron in the n
th
orbit
of Bohr hydrogen atom is
(a) directly proportional to n
(b) inversely proportional to
n
(c) inversely proportional to n
2
(d) inversely proportional to n
3
26. In the given figure, the charge on 3 µF capacitor is
10V
2µF 3µF 6µF
(a) 10 µC (b) 15 µC
(c) 30 µC (d) 5 µC
27. Two bodies A and B are placed in an evacuated
vessel maintained at a temperature of 27ºC. The
temperature of A is 327ºC and that of B is 227ºC.
The ratio of heat loss from A and B is about
(a) 2 : 1 (b) 1 : 2 (c) 4 : 1 (d) 1 : 4
28. If a rigid body is rotating about an axis with a
constant velocity, then
(a) V elocity , Angular velocity of all particles will
be same
(b) V elocity , Angular velocity of all particles will
be different
(c) V elocity of all particles will be different but
angular velocity will be same.
(d) Angular velocity of all particles will be
different but velocity will be same.
29. The fundamental frequency of an open organ
pipe is 300 Hz. The first overtone of this pipe
has same frequency as first overtone of a closed
organ pipe. If speed of sound is 330 m/s, then
the length of closed organ pipe is
(a) 41 cm (b) 30 cm (c) 45 cm (d) 35 cm
30. In Y oung¢s experiment, the distance between the
slits is reduced to half and the distance between
the slit and screen is doubled, then the fringe
width
(a) will not change
(b) will become half
(c) will be doubled
(d) will become four times
31. If a rolling body’s angular momentum changes
by 20 Sl units in 3 seconds, by a constant torque.
Then find the torque on the body
(a) 20/3 Sl units (b) 100/3 Sl units
(c) 20 Sl units (d) 5 Sl units
32. Charge Q is distributed to two different metallic
spheres having radii x and 2x such that both
spheres have equal surface charge density , then
charge on large sphere is
(a)
4Q
5
(b)
Q
5
(c)
3Q
5
(d)
5Q
4
33. In an LR circuit f = 50 Hz, L=2 H, E=5 volts,
R=1 W then energy stored in inductor is
(a) 50 J (b) 25 J
(c) 100 J (d) None of these
34. A straight wire of length 0.5 metre and carrying a
current of 1.2 ampere is placed in uniform
magnetic field of induction 2 tesla. The magnetic
field is perpendicular to the length of the wire.
The force on the wire is
(a) 2.4 N (b) 1.2 N (c) 3.0 N (d) 2.0 N
35. A man drives a car from station B towards station
A at speed 60 km/h. A car leaves station A for
station B every 10 min. The distance between A
and B is 60 km. The car travels at the speed of 60
km/h. A man drives a car from B towards A at
speed of 60 km/h. If he starts at the moment when
first car leaves the station B, then how many
cars would be meet on the route ?
(a)4 (b) 7 (c)9 (d) 12
36. In rotatory motion, linear velocities of all the
particles of the body are
(a) same (b) different
(c) zero (d) cannot say
37. If x, v and a denote the displacement, the velocity
and the acceleration of a particle executing simple
harmonic motion of time period T, then, which of
the following does not change with time?
(a) aT/x (b) aT + 2pv
(c) aT/v (d) a
2
T
2
+ 4p
2
v
2
38. A conducting wire frame is placed in a magnetic
field which is directed into the paper. The
magnetic field is increasing at a constant rate.
The directions of induced current in wires AB
and CD are
(a) B to A and D to C (b) A to B and C to D
(c) A to B and D to C (d) B to A and C to D
39. Find the acceleration of block A and B. Assume
pulley is massless.
B 5kg
A
2kg
(a)
10
13
g,
5
13
g (b)
1
13
g,
5
13
g
(c)
9
13
g,
11
13
g (d)
13
10
g,
13
5
g
40. The nuclei of which one of the following pairs
of nuclei are isotones?
(a)
34
Se
74
,
31
Ga
71
(b)
38
Sr
84
,
38
Sr
86
(c)
42
Mo
92
,
40
Zr
92
(d)
20
Ca
40
,
16
S
32
PART - II : CHEMISTRY
41. Plots showing the variation of the rate constant
(k) with temperature (T) are given below. The
plot that follows Arrhenius equation is
(a)
k
T
(b)
k
T
(c)
k
T
(d)
k
T
42. 3.6 g of oxygen is adsorbed on 1.2 g of metal
powder. What volume of oxygen adsorbed per
gram of the adsorbent at 1 atm and 273 K?
(a) 0.19 L g
–1
(b) 1 L g
–1
(c) 2.1 L g
–1
(d) None of these
43. In the purification of impure nickel by Mond's
process, metal is purified by :
(a) Electrolytic reduction
(b) V apour phase thermal decomposition
(c) Thermite reduction
(d) Carbon reduction
Page 5
INSTRUCTIONS
· This question paper contains total 150 questions divided into four parts:
Part I : Physics Q. No. 1 to 40
Part II : Chemistry Q. No. 41 to 80
Part III : (A) English Proficiency Q. No. 81 to 95
(B) Logical Reasoning Q. No. 96 to 105
Part IV : Mathematics Q. No. 106 to 150
· All questions are multiple choice questions with four options, only one of them is correct.
· Each correct answer awarded 3 marks and –1 for each incorrect answer.
· Duration of paper-3 Hours
PART - I : PHYSICS
1. Which one of the following graphs represents
the variation of electric field with distance r from
the centre of a charged spherical conductor of
radius R?
(a)
r = R
r
E
(b)
r = R
r
E
(c)
r = R
r
E
(d)
r = R
r
E
2. If E
r
and B
r
are the electric and magnetic field
vectors of e.m. waves then the direction of
propagation of e.m. wave is along the direction of
(a)
E
r
(b)
B
r
(c)
B E
r r
´
(d) None of these
3. The young's modulus of a wire of length L and
radius r is Y N/m
2
. If the length and radius are
reduced to L/2 and r/2, then its young's
modulus will be
(a) Y/2 (b) Y (c) 2Y (d) 4 Y
4. Twelve resistors each of resistance 16 W are
connected in the circuit as shown. The net
resistance between A and B is
A B
(a)1W (b) 2 W
(c)3W (d) 4 W
5. The time period of a satellite of earth is 5 hours.
If the separation between the earth and the
satellite is increased to 4 times the previous value,
the new time period will become
(a) 10 hours (b) 80 hours
(c) 40 hours (d) 20 hours
6. Two trains are moving towards each other with
speeds of 20 m/s and 15 m/s relative to the
ground. The first train sounds a whistle of
frequency 600 Hz. The frequency of the whistle
heard by a passenger in the second train before
the train meets, is (the speed of sound in air is
340 m/s)
(a) 600 H z (b) 585 H z
(c) 645 H z (d) 666 H z
7. Y ou are asked to design a shaving mirror assuming
that a person keeps it 10 cm from his face and
views the magnified image of the face at the closest
comfortable distance of 25 cm. The radius of
curvature of the mirror would then be :
(a) 60 cm (b) –24 cm
(c) – 60 cm (d) 24 cm
8. A block is kept on a frictionless inclined surface
with angle of inclination ‘ a ’ . The incline is given
an acceleration ‘a’ to keep the block stationary .
Then ‘a’ is equal to
a
(a) g coseca
(b) g/tan a
(c) g tan a
(d) g
9. W ith the increase in temperature, the angle o f contact
(a) decreases
(b) increases
(c) remains constant
(d) sometimes increases and sometimes
decreases
10. Forward biasing is that in which applied voltage
(a) increases potential barrier
(b) cancels the potential barrier
(c) is equal to 1.5 volt
(d) None of these
11. Number of significant figures in expression
3
4.327g
2.51cm
is
(a)2 (b) 4 (c)3 (d) 5
12. The ratio of the specific heats
p
v
C
C
=g
in terms
of degrees of freedom (n) is given by
(a)
n
1
3
æö
+
ç÷
èø
(b)
2
1
n
æö
+
ç÷
èø
(c)
n
1
2
æö
+
ç÷
èø
(d)
1
1
n
æö
+
ç÷
èø
13. A stone is thrown with a velocity u making an
angle q with the horizontal. The horizontal
distance covered by its fall to ground is maximum
when the angle q is equal to
(a) 0º (b) 30º (c) 45º (d) 90º
14. A ball of mass 150 g, moving with an acceleration
20 m/s
2
, is hit by a force, which acts on it for 0.1
sec. The impulsive force is
(a) 0.5 N (b) 0.1 N (c) 0.3 N (d) 1.2 N
15. A man drags a block through 10 m on rough
surface (µ = 0.5). A force of 3 kN acting at 30°
to the horizontal. The work done by applied force
is
(a) zero (b) 7.5 kJ (c) 5 kJ (d) 10 kJ
16. A force of
ˆ ˆˆ
2 34 i jk ++ N acts on a body for 4
second, produces a displacement of
ˆ ˆˆ
(3 4 5 )m ++ i jk . The power used is
(a) 9.5 W (b) 7.5 W (c) 6.5 W (d) 4.5 W
17. The Earth is assumed to be a sphere of radius R.
A platform is arranged at a height R from the
surface of the Earth. The escape velocity of a
body from this platform is fv, where v is its escape
velocity from the surface of the Earth. The value
of f is
(a)
1
3
(b)
1
2
(c)
2
(d)
1
2
18. Kepler’s second law regarding constancy of
areal velocity of a planet is a consequence of
the law of conservation of
(a) Energy
(b) Angular momentum
(c) Linear momentum
(d) None of these
19. Water is flowing through a horizontal tube
having cross-sectional areas of its two ends
being A and A¢ such that the ratio A/A¢ is 5. If the
pressure difference of water between the two
ends is 3 × 10
5
N m
–2
, the velocity of water with
which it enters the tube will be (neglect gravity
effects)
(a) 5 m s
–1
(b) 10 m s
–1
(c) 25 m s
–1
(d)
50 10
m s
–1
20. A thermodynamic system is taken from state A
to B along ACB and is brought back to A along
BDA as shown in the PV diagram. The net work
done during the complete cycle is given by the
area
(a) P
1
ACBP
2
P
1
P
P
2
P
1
V
A
B
B¢ A¢
C
D
(b) ACBB'A'A
(c) ACBDA
(d) ADBB'A'A
21. A boat crosses a river from port A to port B,
which are just on the opposite side. The speed
of the water is V
w
and that of boat is V
B
relative
to still water. Assume V
w
= 2V
w
. What is the
time taken by the boat, if it has to cross the river
directly on the AB line [D = width of the river]
(a)
B
2D
V3
(b)
B
3D
2V
(c)
B
D
V2
(d)
B
D2
V
22. Two springs, of force constants k
1
and k
2
are
connected to a mass m as shown. The frequency
of oscillation of the mass is f. If both k
1
and k
2
are made four times their original values, the
frequency of oscillation becomes
k
2
k
1
m
(a) 2 f (b) f /2 (c) f /4 (d) 4 f
23. When a potential difference V is applied across
a conductor at a temperature T, the drift velocity
of electrons is proportional to
(a)
V
(b) V (c)
T
(d) T
24. The amplitude of a damped oscillator becomes
rd
1
3
æö
ç÷
èø
in 2 seconds. If its amplitude after 6
seconds is
1
n
times the original amplitude, the
value of n is
(a)3
2
(b) 3
3
(c)
3
3 (d) 2
3
25. The angular speed of the electron in the n
th
orbit
of Bohr hydrogen atom is
(a) directly proportional to n
(b) inversely proportional to
n
(c) inversely proportional to n
2
(d) inversely proportional to n
3
26. In the given figure, the charge on 3 µF capacitor is
10V
2µF 3µF 6µF
(a) 10 µC (b) 15 µC
(c) 30 µC (d) 5 µC
27. Two bodies A and B are placed in an evacuated
vessel maintained at a temperature of 27ºC. The
temperature of A is 327ºC and that of B is 227ºC.
The ratio of heat loss from A and B is about
(a) 2 : 1 (b) 1 : 2 (c) 4 : 1 (d) 1 : 4
28. If a rigid body is rotating about an axis with a
constant velocity, then
(a) V elocity , Angular velocity of all particles will
be same
(b) V elocity , Angular velocity of all particles will
be different
(c) V elocity of all particles will be different but
angular velocity will be same.
(d) Angular velocity of all particles will be
different but velocity will be same.
29. The fundamental frequency of an open organ
pipe is 300 Hz. The first overtone of this pipe
has same frequency as first overtone of a closed
organ pipe. If speed of sound is 330 m/s, then
the length of closed organ pipe is
(a) 41 cm (b) 30 cm (c) 45 cm (d) 35 cm
30. In Y oung¢s experiment, the distance between the
slits is reduced to half and the distance between
the slit and screen is doubled, then the fringe
width
(a) will not change
(b) will become half
(c) will be doubled
(d) will become four times
31. If a rolling body’s angular momentum changes
by 20 Sl units in 3 seconds, by a constant torque.
Then find the torque on the body
(a) 20/3 Sl units (b) 100/3 Sl units
(c) 20 Sl units (d) 5 Sl units
32. Charge Q is distributed to two different metallic
spheres having radii x and 2x such that both
spheres have equal surface charge density , then
charge on large sphere is
(a)
4Q
5
(b)
Q
5
(c)
3Q
5
(d)
5Q
4
33. In an LR circuit f = 50 Hz, L=2 H, E=5 volts,
R=1 W then energy stored in inductor is
(a) 50 J (b) 25 J
(c) 100 J (d) None of these
34. A straight wire of length 0.5 metre and carrying a
current of 1.2 ampere is placed in uniform
magnetic field of induction 2 tesla. The magnetic
field is perpendicular to the length of the wire.
The force on the wire is
(a) 2.4 N (b) 1.2 N (c) 3.0 N (d) 2.0 N
35. A man drives a car from station B towards station
A at speed 60 km/h. A car leaves station A for
station B every 10 min. The distance between A
and B is 60 km. The car travels at the speed of 60
km/h. A man drives a car from B towards A at
speed of 60 km/h. If he starts at the moment when
first car leaves the station B, then how many
cars would be meet on the route ?
(a)4 (b) 7 (c)9 (d) 12
36. In rotatory motion, linear velocities of all the
particles of the body are
(a) same (b) different
(c) zero (d) cannot say
37. If x, v and a denote the displacement, the velocity
and the acceleration of a particle executing simple
harmonic motion of time period T, then, which of
the following does not change with time?
(a) aT/x (b) aT + 2pv
(c) aT/v (d) a
2
T
2
+ 4p
2
v
2
38. A conducting wire frame is placed in a magnetic
field which is directed into the paper. The
magnetic field is increasing at a constant rate.
The directions of induced current in wires AB
and CD are
(a) B to A and D to C (b) A to B and C to D
(c) A to B and D to C (d) B to A and C to D
39. Find the acceleration of block A and B. Assume
pulley is massless.
B 5kg
A
2kg
(a)
10
13
g,
5
13
g (b)
1
13
g,
5
13
g
(c)
9
13
g,
11
13
g (d)
13
10
g,
13
5
g
40. The nuclei of which one of the following pairs
of nuclei are isotones?
(a)
34
Se
74
,
31
Ga
71
(b)
38
Sr
84
,
38
Sr
86
(c)
42
Mo
92
,
40
Zr
92
(d)
20
Ca
40
,
16
S
32
PART - II : CHEMISTRY
41. Plots showing the variation of the rate constant
(k) with temperature (T) are given below. The
plot that follows Arrhenius equation is
(a)
k
T
(b)
k
T
(c)
k
T
(d)
k
T
42. 3.6 g of oxygen is adsorbed on 1.2 g of metal
powder. What volume of oxygen adsorbed per
gram of the adsorbent at 1 atm and 273 K?
(a) 0.19 L g
–1
(b) 1 L g
–1
(c) 2.1 L g
–1
(d) None of these
43. In the purification of impure nickel by Mond's
process, metal is purified by :
(a) Electrolytic reduction
(b) V apour phase thermal decomposition
(c) Thermite reduction
(d) Carbon reduction
44. When chlorine water is added to an aqueous
solution of sodium iodide in the presence of
chloroform, a violet colouration is obtained. On
adding more of chlorine water and vigorous
shaking, the violet colour disappears. This
shows the conversion of ...... into ......
(a)I
2
, HIO
3
(b) I
2
, HI
(c) HI, HIO
3
(d) I
2
, HOI
45. In the clathrates of xenon with water, the nature
of bonding between xenon and water molecule is
(a) covalent
(b) hydrogen bonding
(c) coordinate
(d) dipole-induced dipole
46. The electronic configurations of Eu(Atomic
No. 63), Gd(Atomic No. 64) and Tb (Atomic
No. 65) are
(a) [Xe]4f
7
6s
2
, [Xe]4f
8
6s
2
and [Xe]4f
8
5d
1
6s
2
(b) [Xe]4f
7
5d
1
6s
2
, [Xe]4f
7
5d
1
6s
2
and
[Xe]4f
9
6s
2
(c) [Xe]4f
6
5d
1
6s
2
, [Xe]4f
7
5d
1
6s
2
and
[Xe]4f
8
5d
1
6s
2
(d) [Xe]4f
7
6s
2
, [Xe]4f
7
5d
1
6s
2
and [Xe]4f
9
6s
2
47. Which of the following carbonyls will have the
strongest C – O bond ?
(a) [Mn (CO)
6
]
+
(b) [Cr (CO)
6
]
(c) [V (CO)
6
]
–
(d) [Fe (CO)
5
]
48. How many chiral compounds are possible on
monochlorination of 2- methyl butane ?
(a)8 (b) 2 (c)4 (d) 6
49. Which of the following are intermediates in the
reaction of excess of CH
3
MgBr with
C
6
H
5
COOC
2
H
5
to make 2-phenyl - 2-propanol ?
A.
3
6 5 23
OMgBr
C H C OCH CH
CH
÷
--
÷
B.
653
O
C H C CH
÷÷
--
C.
3
653
OMgBr
C H C CH
CH
÷
--
÷
(a) A and B (b) A, B and C
(c) A and C (d) B and C
50.
3 2 33
O
CH C CH CH CH MgBr
÷÷
-- -+ X ¾¾®
3 24
HO H SO
170C
YZ
+
°
¾¾¾® ¾¾¾¾ ® .
What is Z?
(a)
3
3 23
H O
CH C CH CH
CH
÷
- --
÷
(b)
3
33
CH C CH CH
CH
- =-
÷
(c)
55 22
33
33
C H CH
CH – C – O – C – CH
CH CH
÷÷
÷÷
(d)
3
2 23
CH C –CH CH
CH
=-
÷
51. Which of the following is the strongest base ?
(a) (b)
(c) (d)
52. Which of the following does not reduce
Benedict’s solution?
(a) Glucose (b) Fructose
(c) Sucrose (d) Aldehyde
53. General formula of solid in zinc blende structure is:
(a) AB
2
(b) AB
3
(c) AB (d) A
2
B
54. Glycine in alkaline solution exists as ______ and
migrates to __________.
(a) Cation, cathode
(b) Neutral, anode
(c) Zwitter ion, cathode
(d) anion, anode
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