BITSAT Past Year Paper- 2011 | BITSAT Mock Tests Series & Past Year Papers 2025 - JEE PDF Download

 Page 1


PART - I : PHYSICS
1. A passenger in a open car travelling at 30 m/s
throws a ball out over the bonnet. Relative to the
car the initial velocity of the ball is 20 m/s at 60° to
the horizontal. The angle of projection of the ball
with respect to the horizontal road will be
(a) tan
–1
2
3
æö
ç÷
èø
(b) tan
–1
3
4
æö
ç÷
ç÷
èø
(c) tan
–1
4
3
æö
ç÷
èø
(d) tan
–1
3
4
æö
ç÷
èø
2. A particle is moving in a straight line with initial
velocity and uniform acceleration a. If the sum of
the distance travelled in t
th
 and (t + 1)
th
 seconds
is 100 cm, then its velocity after t seconds, in
cm/s, is
( a) 80 (b) 5 0 (c) 20 (d) 3 0
3. The two vectors 
r
A
 and 
r
B
 are drawn from a
common point and 
C AB =+
rr r
, then angle
between 
r
A
 and 
r
B
 is –
(1) 90° if C
2
 = A
2
 + B
2
(2) greater than  90° if C
2
 < A
2
 + B
2
(3) greater than  90° if C
2
 > A
2
 + B
2
(4) less than  90° if C
2
 > A
2
 + B
2
Correct options are –
(a) 1, 2 (b) 1, 2, 3, 4
(c) 2, 3, 4 (d) 1, 2, 4
4. If 
3
ML
T2
3 Yq
=p then find the dimensions of q.
Where T is the time period of bar of mass M,
length L and Y oung modulus Y .
( a) [ L] (b) [L
2
] (c) [L
4
] (d) [L
3
]
5. An object experiences a net force and accelerates
from rest to its final position in 16s. How long
would the object take to reach the same final
position from rest if the object's mass was four
times larger ?
(a) 64 s (b) 32 s (c) 16 s (d) 8s
6. Three blocks of masses m
1
, m
2
 and m
3
 are
connected by massless strings, as shown, on a
frictionless table. They are pulled with a force T
3
= 40 N. If m
1
 = 10 kg, m
2
 = 6 kg and m
3
 = 4kg, the
tension T
2
 will be
M
1
M
2
M
3
T
1
T
2
T
3
(a) 20 N (b) 40 N (c) 10 N (d) 32 N
7. A massless platform is kept
on a light elastic spring as
shown in fig. When a sand
particle of mass 0.1 kg is
dropped on the pan from a
height of 0.24 m, the particle strikes the pan and
spring is compressed by 0.01 m.
From what height should the particle be dropped
to cause a compression of 0.04 m.
(a) 3.96 m (b) 0.396 m (c) 4 m (d) 0.4 m
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 : Mathematics Q. No. 81 to 125
Part IV : (A) English Proficiency Q. No. 126 to 140
  (B) Logical Reasoning Q. No. 141 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
Page 2


PART - I : PHYSICS
1. A passenger in a open car travelling at 30 m/s
throws a ball out over the bonnet. Relative to the
car the initial velocity of the ball is 20 m/s at 60° to
the horizontal. The angle of projection of the ball
with respect to the horizontal road will be
(a) tan
–1
2
3
æö
ç÷
èø
(b) tan
–1
3
4
æö
ç÷
ç÷
èø
(c) tan
–1
4
3
æö
ç÷
èø
(d) tan
–1
3
4
æö
ç÷
èø
2. A particle is moving in a straight line with initial
velocity and uniform acceleration a. If the sum of
the distance travelled in t
th
 and (t + 1)
th
 seconds
is 100 cm, then its velocity after t seconds, in
cm/s, is
( a) 80 (b) 5 0 (c) 20 (d) 3 0
3. The two vectors 
r
A
 and 
r
B
 are drawn from a
common point and 
C AB =+
rr r
, then angle
between 
r
A
 and 
r
B
 is –
(1) 90° if C
2
 = A
2
 + B
2
(2) greater than  90° if C
2
 < A
2
 + B
2
(3) greater than  90° if C
2
 > A
2
 + B
2
(4) less than  90° if C
2
 > A
2
 + B
2
Correct options are –
(a) 1, 2 (b) 1, 2, 3, 4
(c) 2, 3, 4 (d) 1, 2, 4
4. If 
3
ML
T2
3 Yq
=p then find the dimensions of q.
Where T is the time period of bar of mass M,
length L and Y oung modulus Y .
( a) [ L] (b) [L
2
] (c) [L
4
] (d) [L
3
]
5. An object experiences a net force and accelerates
from rest to its final position in 16s. How long
would the object take to reach the same final
position from rest if the object's mass was four
times larger ?
(a) 64 s (b) 32 s (c) 16 s (d) 8s
6. Three blocks of masses m
1
, m
2
 and m
3
 are
connected by massless strings, as shown, on a
frictionless table. They are pulled with a force T
3
= 40 N. If m
1
 = 10 kg, m
2
 = 6 kg and m
3
 = 4kg, the
tension T
2
 will be
M
1
M
2
M
3
T
1
T
2
T
3
(a) 20 N (b) 40 N (c) 10 N (d) 32 N
7. A massless platform is kept
on a light elastic spring as
shown in fig. When a sand
particle of mass 0.1 kg is
dropped on the pan from a
height of 0.24 m, the particle strikes the pan and
spring is compressed by 0.01 m.
From what height should the particle be dropped
to cause a compression of 0.04 m.
(a) 3.96 m (b) 0.396 m (c) 4 m (d) 0.4 m
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 : Mathematics Q. No. 81 to 125
Part IV : (A) English Proficiency Q. No. 126 to 140
  (B) Logical Reasoning Q. No. 141 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
8. A constant torque of 31.4 N-m is exerted on a
pivoted wheel. If angular acceleration of wheel is
4 p rad/s
2
, then the moment of inertia of the wheel
is
(a) 2.5 kg m
2
(b) 3.5 kg m
2
(c) 4.5 kg m
2
(d) 5.5 kg m
2
9. A man of mass m starts falling towards a planet
of mass M and radius R. As he reaches near to
the surface, he realizes that he will pass through
a small hole in the planet. As he enters the hole,
he sees that the planet is really made of two
pieces a spherical shell of negligible thickness of
mass 2M/3 and a point mass M/3 at the centre.
Change in the force of gravity experienced by
the man is
(a)
2
2 GMm
3
R
(b) 0
(c)
2
1 GMm
3
R
(d)
2
4 GMm
3
R
10. Geo-stationary satellite is one which
(a) remains stationary at a fixed height from the
earth’s surface
(b) revolves like other satellites but in the
opposite direction of earth’s rotation
(c) revolves round the earth at a suitable height
with same angular velocity and in the same
direction as earth does about its own axis
(d) None of these
11. T wo 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 Dx on
applying force F, how much force is needed to
stretch wire 2 by the same amount?
(a) 4 F (b) 6 F (c) 9 F (d) F
12. An iron rod of length 2m and cross-sectional area
of 50 mm
2
 stretched by 0.5 mm, when a mass of
250 kg is hung from its lower end. Young’s
modulus of iron rod is
(a) 19.6 × 10
20
 N/m
2
(b) 19.6 × 10
18
 N/m
2
(c) 19.6 × 10
10
 N/m
2
(d) 19.6 × 10
15
 N/m
2
13. Viscosity is the property of a liquid due to which
it :
(a) occupies minimum surface area
(b) opposes relative motion between its
adjacent layers
(c) becomes spherical in shape
(d) tends to regain its deformed position
14. The radiation emitted by a perfectly black body
is proportional to
(a) temperature on ideal gas scale
(b) fourth root of temperature on ideal gas scale
(c) fourth power of temperature on ideal gas
scale
(d) square of temperature on ideal gas scale
15. A copper sphere cools from 62°C to 50°C in 10
minutes and to 42°C in the next 10 minutes.
Calculate the temperature of the surroundings.
(a) 18 .01ºC (b) 26ºC
(c) 10.6ºC (d) 20ºC
16. An air bubble of volume v
0
 is released by a fish
at a depth h in a lake. The bubble rises to the
surface. Assume constant temperature and
standard atmospheric pressure above the lake.
The volume of the bubble just before touching
the surface will be (density) of water is r
(a)v
0
(b) v
0
(rgh/p)
(c)
0
v
gh
1
p
æö r
+
ç÷
èø
(d) v
0
gh
1
p
æö r
+
ç÷
èø
17. The molecules of a given mass of gas have a root
mean square velocity of 200m s
–1
 at 27°C and
1.0 × 10
5
 N m
–2
 pressure. When the temperature
is 127°C and the pressure 0.5 × 10
5 
Nm
–2
, the root
mean square velocity in ms
–1
, is
(a)
3
400
(b) 2 100
(c)
3
2 100
(d)
3
100
18. Which of the following expressions corresponds
to simple harmonic motion along a straight line,
where x is the displacement and a, b, c are positive
constants?
(a) a + bx – cx
2
(b) bx
2
(c) a – bx + cx
2
(d) – bx
19. A mass m is suspended from a spring of force
constant k and just touches another identical
spring fixed to the floor as shown in the figure.
The time period of small oscillations is
(a) 
m
2
k
p (b) 
mm
k k /2
p +p    
k
m
k
(c) 
m
3k /2
p (d) 
mm
k 2k
p +p .
Page 3


PART - I : PHYSICS
1. A passenger in a open car travelling at 30 m/s
throws a ball out over the bonnet. Relative to the
car the initial velocity of the ball is 20 m/s at 60° to
the horizontal. The angle of projection of the ball
with respect to the horizontal road will be
(a) tan
–1
2
3
æö
ç÷
èø
(b) tan
–1
3
4
æö
ç÷
ç÷
èø
(c) tan
–1
4
3
æö
ç÷
èø
(d) tan
–1
3
4
æö
ç÷
èø
2. A particle is moving in a straight line with initial
velocity and uniform acceleration a. If the sum of
the distance travelled in t
th
 and (t + 1)
th
 seconds
is 100 cm, then its velocity after t seconds, in
cm/s, is
( a) 80 (b) 5 0 (c) 20 (d) 3 0
3. The two vectors 
r
A
 and 
r
B
 are drawn from a
common point and 
C AB =+
rr r
, then angle
between 
r
A
 and 
r
B
 is –
(1) 90° if C
2
 = A
2
 + B
2
(2) greater than  90° if C
2
 < A
2
 + B
2
(3) greater than  90° if C
2
 > A
2
 + B
2
(4) less than  90° if C
2
 > A
2
 + B
2
Correct options are –
(a) 1, 2 (b) 1, 2, 3, 4
(c) 2, 3, 4 (d) 1, 2, 4
4. If 
3
ML
T2
3 Yq
=p then find the dimensions of q.
Where T is the time period of bar of mass M,
length L and Y oung modulus Y .
( a) [ L] (b) [L
2
] (c) [L
4
] (d) [L
3
]
5. An object experiences a net force and accelerates
from rest to its final position in 16s. How long
would the object take to reach the same final
position from rest if the object's mass was four
times larger ?
(a) 64 s (b) 32 s (c) 16 s (d) 8s
6. Three blocks of masses m
1
, m
2
 and m
3
 are
connected by massless strings, as shown, on a
frictionless table. They are pulled with a force T
3
= 40 N. If m
1
 = 10 kg, m
2
 = 6 kg and m
3
 = 4kg, the
tension T
2
 will be
M
1
M
2
M
3
T
1
T
2
T
3
(a) 20 N (b) 40 N (c) 10 N (d) 32 N
7. A massless platform is kept
on a light elastic spring as
shown in fig. When a sand
particle of mass 0.1 kg is
dropped on the pan from a
height of 0.24 m, the particle strikes the pan and
spring is compressed by 0.01 m.
From what height should the particle be dropped
to cause a compression of 0.04 m.
(a) 3.96 m (b) 0.396 m (c) 4 m (d) 0.4 m
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 : Mathematics Q. No. 81 to 125
Part IV : (A) English Proficiency Q. No. 126 to 140
  (B) Logical Reasoning Q. No. 141 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
8. A constant torque of 31.4 N-m is exerted on a
pivoted wheel. If angular acceleration of wheel is
4 p rad/s
2
, then the moment of inertia of the wheel
is
(a) 2.5 kg m
2
(b) 3.5 kg m
2
(c) 4.5 kg m
2
(d) 5.5 kg m
2
9. A man of mass m starts falling towards a planet
of mass M and radius R. As he reaches near to
the surface, he realizes that he will pass through
a small hole in the planet. As he enters the hole,
he sees that the planet is really made of two
pieces a spherical shell of negligible thickness of
mass 2M/3 and a point mass M/3 at the centre.
Change in the force of gravity experienced by
the man is
(a)
2
2 GMm
3
R
(b) 0
(c)
2
1 GMm
3
R
(d)
2
4 GMm
3
R
10. Geo-stationary satellite is one which
(a) remains stationary at a fixed height from the
earth’s surface
(b) revolves like other satellites but in the
opposite direction of earth’s rotation
(c) revolves round the earth at a suitable height
with same angular velocity and in the same
direction as earth does about its own axis
(d) None of these
11. T wo 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 Dx on
applying force F, how much force is needed to
stretch wire 2 by the same amount?
(a) 4 F (b) 6 F (c) 9 F (d) F
12. An iron rod of length 2m and cross-sectional area
of 50 mm
2
 stretched by 0.5 mm, when a mass of
250 kg is hung from its lower end. Young’s
modulus of iron rod is
(a) 19.6 × 10
20
 N/m
2
(b) 19.6 × 10
18
 N/m
2
(c) 19.6 × 10
10
 N/m
2
(d) 19.6 × 10
15
 N/m
2
13. Viscosity is the property of a liquid due to which
it :
(a) occupies minimum surface area
(b) opposes relative motion between its
adjacent layers
(c) becomes spherical in shape
(d) tends to regain its deformed position
14. The radiation emitted by a perfectly black body
is proportional to
(a) temperature on ideal gas scale
(b) fourth root of temperature on ideal gas scale
(c) fourth power of temperature on ideal gas
scale
(d) square of temperature on ideal gas scale
15. A copper sphere cools from 62°C to 50°C in 10
minutes and to 42°C in the next 10 minutes.
Calculate the temperature of the surroundings.
(a) 18 .01ºC (b) 26ºC
(c) 10.6ºC (d) 20ºC
16. An air bubble of volume v
0
 is released by a fish
at a depth h in a lake. The bubble rises to the
surface. Assume constant temperature and
standard atmospheric pressure above the lake.
The volume of the bubble just before touching
the surface will be (density) of water is r
(a)v
0
(b) v
0
(rgh/p)
(c)
0
v
gh
1
p
æö r
+
ç÷
èø
(d) v
0
gh
1
p
æö r
+
ç÷
èø
17. The molecules of a given mass of gas have a root
mean square velocity of 200m s
–1
 at 27°C and
1.0 × 10
5
 N m
–2
 pressure. When the temperature
is 127°C and the pressure 0.5 × 10
5 
Nm
–2
, the root
mean square velocity in ms
–1
, is
(a)
3
400
(b) 2 100
(c)
3
2 100
(d)
3
100
18. Which of the following expressions corresponds
to simple harmonic motion along a straight line,
where x is the displacement and a, b, c are positive
constants?
(a) a + bx – cx
2
(b) bx
2
(c) a – bx + cx
2
(d) – bx
19. A mass m is suspended from a spring of force
constant k and just touches another identical
spring fixed to the floor as shown in the figure.
The time period of small oscillations is
(a) 
m
2
k
p (b) 
mm
k k /2
p +p    
k
m
k
(c) 
m
3k /2
p (d) 
mm
k 2k
p +p .
20. 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) 37 cm (c) 31 cm (d) 80 cm
21. In an uniformly charged sphere of total charge  Q
and radius R, the electric field E is plotted as
function of distance from the centre. The graph
which would correspond to the above will be
(a)
E
R r
(b)
E
R r
(c)
E
R r
(d)
E
R r
22. A charge Q
1
 exerts some force on a second charge
Q
2
. If a 3rd charge Q
3
 is brought near, then the
force of Q
1
 exerted on Q
2
 –
(a) will increase
(b) will decrease
(c) will remain unchanged
(d) will increase if Q
3
 is of the same sign as Q
1
and will decrease if Q
3
 is of opposite sign.
23. A hollow metal sphere of radius 5 cm is charged
such that the potential on its surface is 10 V . The
potential at a distance of 2 cm from the centre of
the sphere is
(a) zero (b) 1 0 V (c) 4 V (d) 10/3 V
24. If the potential of a capacitor having capacity 6 mF
is increased from 10 V to 20 V , then increase in its
energy will be
(a) 4 × 10
–4 
J (b) 4 × 10
–6 
J
(c) 9 × 10
–4 
J (d) 12 × 10
–6 
J
25. Calculate the effective resistance between A and
B in following network.
5W 10W 15W
20W 30W 10W
B
10W
10W
A
(a) 5 W (b) 10 W (c) 20 W (d) 30 W
26. A steady current is set up in a cubic network
composed of wires of equal resistance and length
d as shown in figure. What is the magnetic field
at the centre P due to the cubic network
(a)
0
2I
4d
m
p
(b)
0
2I
4 2d
m
p
(c) 0                         
(  )
H
A
B C
G
F
E
D
P
(d)
0
I
4d
m qp
p
27. If M is magnetic moment and B is the magnetic
field, then the torque is given by
(a)
M.B
uu r ur
(b)
M
B
uur
ur
(c)
MB ´
uu r ur
(d) MB
uu r ur
28. A metal rod of length 1 m is rotated about one of
its ends in a plane right angles to a field of induc-
tance 2.5 × 10
–3
 Wb/m². If it makes 1800 revolu-
tions/min. Calculate induced e.m.f. between its
ends.
(a) 2.471 V (b) 3.171 V
(c) 0.471 V (d) 1.771 V
29. Which one of the following curves represents
the variation of impedance (Z) with frequency f
in series LCR circuit?
(a)
Z
f
(b)
Z
f
(c)
Z
f
(d)
Z
f
30. An electromagnetic wave passes through space
and its equation is given by E = E
0
 sin (wt – kx)
where E is electric field. Energy density of
electromagnetic wave in space is
(a)   
2
00
1
E
2
e (b)
2
00
1
E
4
e
(c)
2
00
E e (d)
2
00
2E e
Page 4


PART - I : PHYSICS
1. A passenger in a open car travelling at 30 m/s
throws a ball out over the bonnet. Relative to the
car the initial velocity of the ball is 20 m/s at 60° to
the horizontal. The angle of projection of the ball
with respect to the horizontal road will be
(a) tan
–1
2
3
æö
ç÷
èø
(b) tan
–1
3
4
æö
ç÷
ç÷
èø
(c) tan
–1
4
3
æö
ç÷
èø
(d) tan
–1
3
4
æö
ç÷
èø
2. A particle is moving in a straight line with initial
velocity and uniform acceleration a. If the sum of
the distance travelled in t
th
 and (t + 1)
th
 seconds
is 100 cm, then its velocity after t seconds, in
cm/s, is
( a) 80 (b) 5 0 (c) 20 (d) 3 0
3. The two vectors 
r
A
 and 
r
B
 are drawn from a
common point and 
C AB =+
rr r
, then angle
between 
r
A
 and 
r
B
 is –
(1) 90° if C
2
 = A
2
 + B
2
(2) greater than  90° if C
2
 < A
2
 + B
2
(3) greater than  90° if C
2
 > A
2
 + B
2
(4) less than  90° if C
2
 > A
2
 + B
2
Correct options are –
(a) 1, 2 (b) 1, 2, 3, 4
(c) 2, 3, 4 (d) 1, 2, 4
4. If 
3
ML
T2
3 Yq
=p then find the dimensions of q.
Where T is the time period of bar of mass M,
length L and Y oung modulus Y .
( a) [ L] (b) [L
2
] (c) [L
4
] (d) [L
3
]
5. An object experiences a net force and accelerates
from rest to its final position in 16s. How long
would the object take to reach the same final
position from rest if the object's mass was four
times larger ?
(a) 64 s (b) 32 s (c) 16 s (d) 8s
6. Three blocks of masses m
1
, m
2
 and m
3
 are
connected by massless strings, as shown, on a
frictionless table. They are pulled with a force T
3
= 40 N. If m
1
 = 10 kg, m
2
 = 6 kg and m
3
 = 4kg, the
tension T
2
 will be
M
1
M
2
M
3
T
1
T
2
T
3
(a) 20 N (b) 40 N (c) 10 N (d) 32 N
7. A massless platform is kept
on a light elastic spring as
shown in fig. When a sand
particle of mass 0.1 kg is
dropped on the pan from a
height of 0.24 m, the particle strikes the pan and
spring is compressed by 0.01 m.
From what height should the particle be dropped
to cause a compression of 0.04 m.
(a) 3.96 m (b) 0.396 m (c) 4 m (d) 0.4 m
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 : Mathematics Q. No. 81 to 125
Part IV : (A) English Proficiency Q. No. 126 to 140
  (B) Logical Reasoning Q. No. 141 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
8. A constant torque of 31.4 N-m is exerted on a
pivoted wheel. If angular acceleration of wheel is
4 p rad/s
2
, then the moment of inertia of the wheel
is
(a) 2.5 kg m
2
(b) 3.5 kg m
2
(c) 4.5 kg m
2
(d) 5.5 kg m
2
9. A man of mass m starts falling towards a planet
of mass M and radius R. As he reaches near to
the surface, he realizes that he will pass through
a small hole in the planet. As he enters the hole,
he sees that the planet is really made of two
pieces a spherical shell of negligible thickness of
mass 2M/3 and a point mass M/3 at the centre.
Change in the force of gravity experienced by
the man is
(a)
2
2 GMm
3
R
(b) 0
(c)
2
1 GMm
3
R
(d)
2
4 GMm
3
R
10. Geo-stationary satellite is one which
(a) remains stationary at a fixed height from the
earth’s surface
(b) revolves like other satellites but in the
opposite direction of earth’s rotation
(c) revolves round the earth at a suitable height
with same angular velocity and in the same
direction as earth does about its own axis
(d) None of these
11. T wo 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 Dx on
applying force F, how much force is needed to
stretch wire 2 by the same amount?
(a) 4 F (b) 6 F (c) 9 F (d) F
12. An iron rod of length 2m and cross-sectional area
of 50 mm
2
 stretched by 0.5 mm, when a mass of
250 kg is hung from its lower end. Young’s
modulus of iron rod is
(a) 19.6 × 10
20
 N/m
2
(b) 19.6 × 10
18
 N/m
2
(c) 19.6 × 10
10
 N/m
2
(d) 19.6 × 10
15
 N/m
2
13. Viscosity is the property of a liquid due to which
it :
(a) occupies minimum surface area
(b) opposes relative motion between its
adjacent layers
(c) becomes spherical in shape
(d) tends to regain its deformed position
14. The radiation emitted by a perfectly black body
is proportional to
(a) temperature on ideal gas scale
(b) fourth root of temperature on ideal gas scale
(c) fourth power of temperature on ideal gas
scale
(d) square of temperature on ideal gas scale
15. A copper sphere cools from 62°C to 50°C in 10
minutes and to 42°C in the next 10 minutes.
Calculate the temperature of the surroundings.
(a) 18 .01ºC (b) 26ºC
(c) 10.6ºC (d) 20ºC
16. An air bubble of volume v
0
 is released by a fish
at a depth h in a lake. The bubble rises to the
surface. Assume constant temperature and
standard atmospheric pressure above the lake.
The volume of the bubble just before touching
the surface will be (density) of water is r
(a)v
0
(b) v
0
(rgh/p)
(c)
0
v
gh
1
p
æö r
+
ç÷
èø
(d) v
0
gh
1
p
æö r
+
ç÷
èø
17. The molecules of a given mass of gas have a root
mean square velocity of 200m s
–1
 at 27°C and
1.0 × 10
5
 N m
–2
 pressure. When the temperature
is 127°C and the pressure 0.5 × 10
5 
Nm
–2
, the root
mean square velocity in ms
–1
, is
(a)
3
400
(b) 2 100
(c)
3
2 100
(d)
3
100
18. Which of the following expressions corresponds
to simple harmonic motion along a straight line,
where x is the displacement and a, b, c are positive
constants?
(a) a + bx – cx
2
(b) bx
2
(c) a – bx + cx
2
(d) – bx
19. A mass m is suspended from a spring of force
constant k and just touches another identical
spring fixed to the floor as shown in the figure.
The time period of small oscillations is
(a) 
m
2
k
p (b) 
mm
k k /2
p +p    
k
m
k
(c) 
m
3k /2
p (d) 
mm
k 2k
p +p .
20. 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) 37 cm (c) 31 cm (d) 80 cm
21. In an uniformly charged sphere of total charge  Q
and radius R, the electric field E is plotted as
function of distance from the centre. The graph
which would correspond to the above will be
(a)
E
R r
(b)
E
R r
(c)
E
R r
(d)
E
R r
22. A charge Q
1
 exerts some force on a second charge
Q
2
. If a 3rd charge Q
3
 is brought near, then the
force of Q
1
 exerted on Q
2
 –
(a) will increase
(b) will decrease
(c) will remain unchanged
(d) will increase if Q
3
 is of the same sign as Q
1
and will decrease if Q
3
 is of opposite sign.
23. A hollow metal sphere of radius 5 cm is charged
such that the potential on its surface is 10 V . The
potential at a distance of 2 cm from the centre of
the sphere is
(a) zero (b) 1 0 V (c) 4 V (d) 10/3 V
24. If the potential of a capacitor having capacity 6 mF
is increased from 10 V to 20 V , then increase in its
energy will be
(a) 4 × 10
–4 
J (b) 4 × 10
–6 
J
(c) 9 × 10
–4 
J (d) 12 × 10
–6 
J
25. Calculate the effective resistance between A and
B in following network.
5W 10W 15W
20W 30W 10W
B
10W
10W
A
(a) 5 W (b) 10 W (c) 20 W (d) 30 W
26. A steady current is set up in a cubic network
composed of wires of equal resistance and length
d as shown in figure. What is the magnetic field
at the centre P due to the cubic network
(a)
0
2I
4d
m
p
(b)
0
2I
4 2d
m
p
(c) 0                         
(  )
H
A
B C
G
F
E
D
P
(d)
0
I
4d
m qp
p
27. If M is magnetic moment and B is the magnetic
field, then the torque is given by
(a)
M.B
uu r ur
(b)
M
B
uur
ur
(c)
MB ´
uu r ur
(d) MB
uu r ur
28. A metal rod of length 1 m is rotated about one of
its ends in a plane right angles to a field of induc-
tance 2.5 × 10
–3
 Wb/m². If it makes 1800 revolu-
tions/min. Calculate induced e.m.f. between its
ends.
(a) 2.471 V (b) 3.171 V
(c) 0.471 V (d) 1.771 V
29. Which one of the following curves represents
the variation of impedance (Z) with frequency f
in series LCR circuit?
(a)
Z
f
(b)
Z
f
(c)
Z
f
(d)
Z
f
30. An electromagnetic wave passes through space
and its equation is given by E = E
0
 sin (wt – kx)
where E is electric field. Energy density of
electromagnetic wave in space is
(a)   
2
00
1
E
2
e (b)
2
00
1
E
4
e
(c)
2
00
E e (d)
2
00
2E e
31. A thin convergent glass lens (m
g
 = 1.5) has a
power of + 5.0 D. When this lens is immersed in a
liquid of refractive index m, it acts as a divergent
lens of focal length 100 cm. The value of m must
be
(a) 4/3 (b) 5/3 (c) 5/4 (d) 6/5
32. A vessel of depth 2d cm. is half filled with a liquid
of refractive index µ
1
 and the upper half with a
liquid of refractive index µ
2
. The apparent depth
of the vessel seen perpendicularly is –
(a)
12
12
d
æö mm
ç÷
m +m
èø
(b)
12
11
d
æö
+
ç÷
mm
èø
(c)
12
11
2d
æö
+
ç÷
mm
èø
(d)
12
1
2d
æö
ç÷
mm
èø
33. If the distance between the first maxima and fifth
minima of a double slit pattern is 7mm and the
slits are separated by 0.15 mm with the screen 50
cm. from the slits, then the wavelength of the
light used is :
(a) 200 nm (b) 100 nm
(c) 800 nm (d) 600 nm
34. If the energy of a photon is 10 eV, then its
momentum is
(a) 5.33 × 10
–23
 kg m/s
(b) 5.33 × 10
–25
 kg m/s
(c) 5.33 × 10
–29
 kg m/s
(d) 5.33 × 10
–27
 kg m/s
35. The energies of energy levels A, B and C for a
given atom are in the sequence E
A
 < E
B
 < E
C
. If
the radiations of wavelengths l
1
, l
2
 and l
3
 are
emitted due to the atomic transitions C to B, B to
A and C to A respectively then which of the fol-
lowing relations is correct ?
(a) l
1
 + l
2
 + l
3
 = 0 (b) l
3
 = l
1
2
 + l
2
(c) l
3
 = l
1
 + l
2
(d) l
3
 = 
12
12
ll
l +l
36. Which one is correct about fission?
(a) Approx. 0.1% mass converts into energy .
(b) Most of energy of fission is in the form of
heat.
(c) In a fission of U
235
 about 200 eV energy is
released.
(d) On an average, one neutron is released per
fission of U
235
.
37. The output of an OR gate is connected to both
the inputs of a NAND gate. The combination will
serve as a:
(a) NOT gate (b) NOR gate
(c) AND gate (d) OR gate
38. In a semiconductor diode, the barrier potential
offers opposition to
(a) holes in P-region only
(b) free electrons in N-region only
(c) majority carriers in both regions
(d) majority as well as minority carriers in both
regions
39. An electron, in a hydrogen-like atom, is in an
excited state. It has a total energy of –3.4 eV . The
kinetic energy and the de-Broglie wavelength of
the electron are respectively
(a) +3.4 eV , 0.66 × 10
–9 
m
(b) –3.4 eV , 1.99 × 10
–9 
m
(c) 2.8 eV , 2.38 × 10
–10 
m
(d) 1.1 eV , 1.28 × 10
–9 
m
40. Light of wavelength 180 nm ejects photoelectron
from a plate of a metal whose work function is
2 eV . If a uniform magnetic field of 5 × 10
–5
 T is
applied parallel to plate, what would be the radius
of the path followed by electrons ejected normally
from the plate with maximum energy ?
(a) 1.239 m (b) 0.149 m
(c) 3.182 m (d) 2.33 m
PART - II : CHEMISTRY
41. The product of atomic weight and specific heat
of any element is a constant, approximately 6.4.
This is known as :
(a) Dalton’s law (b) Avogadro’s law
(c) Newton’s law (d) Dulong Pettit law
42. 1.520 g of hydroxide of a metal on ignition gave
0.995g of oxide. The equivalent weight of metal
is :
(a) 1.52 (b) 0.995 (c) 190 (d) 9
43. The correct order of radii is
(a) N < Be < B (b)F
–
 < O
2–
 < N
3–
(c) Na < Li < K (d) Fe
3+
 < Fe
2+
 < Fe
4+
44. Beryllium and aluminium exhibit many properties
which are similar. But, the two elements differ in
(a) forming covalent halides
(b) forming polymeric hydrides
(c) exhibiting maximum covalency in
compounds
(d) exhibiting amphoteric nature in their oxides
Page 5


PART - I : PHYSICS
1. A passenger in a open car travelling at 30 m/s
throws a ball out over the bonnet. Relative to the
car the initial velocity of the ball is 20 m/s at 60° to
the horizontal. The angle of projection of the ball
with respect to the horizontal road will be
(a) tan
–1
2
3
æö
ç÷
èø
(b) tan
–1
3
4
æö
ç÷
ç÷
èø
(c) tan
–1
4
3
æö
ç÷
èø
(d) tan
–1
3
4
æö
ç÷
èø
2. A particle is moving in a straight line with initial
velocity and uniform acceleration a. If the sum of
the distance travelled in t
th
 and (t + 1)
th
 seconds
is 100 cm, then its velocity after t seconds, in
cm/s, is
( a) 80 (b) 5 0 (c) 20 (d) 3 0
3. The two vectors 
r
A
 and 
r
B
 are drawn from a
common point and 
C AB =+
rr r
, then angle
between 
r
A
 and 
r
B
 is –
(1) 90° if C
2
 = A
2
 + B
2
(2) greater than  90° if C
2
 < A
2
 + B
2
(3) greater than  90° if C
2
 > A
2
 + B
2
(4) less than  90° if C
2
 > A
2
 + B
2
Correct options are –
(a) 1, 2 (b) 1, 2, 3, 4
(c) 2, 3, 4 (d) 1, 2, 4
4. If 
3
ML
T2
3 Yq
=p then find the dimensions of q.
Where T is the time period of bar of mass M,
length L and Y oung modulus Y .
( a) [ L] (b) [L
2
] (c) [L
4
] (d) [L
3
]
5. An object experiences a net force and accelerates
from rest to its final position in 16s. How long
would the object take to reach the same final
position from rest if the object's mass was four
times larger ?
(a) 64 s (b) 32 s (c) 16 s (d) 8s
6. Three blocks of masses m
1
, m
2
 and m
3
 are
connected by massless strings, as shown, on a
frictionless table. They are pulled with a force T
3
= 40 N. If m
1
 = 10 kg, m
2
 = 6 kg and m
3
 = 4kg, the
tension T
2
 will be
M
1
M
2
M
3
T
1
T
2
T
3
(a) 20 N (b) 40 N (c) 10 N (d) 32 N
7. A massless platform is kept
on a light elastic spring as
shown in fig. When a sand
particle of mass 0.1 kg is
dropped on the pan from a
height of 0.24 m, the particle strikes the pan and
spring is compressed by 0.01 m.
From what height should the particle be dropped
to cause a compression of 0.04 m.
(a) 3.96 m (b) 0.396 m (c) 4 m (d) 0.4 m
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 : Mathematics Q. No. 81 to 125
Part IV : (A) English Proficiency Q. No. 126 to 140
  (B) Logical Reasoning Q. No. 141 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
8. A constant torque of 31.4 N-m is exerted on a
pivoted wheel. If angular acceleration of wheel is
4 p rad/s
2
, then the moment of inertia of the wheel
is
(a) 2.5 kg m
2
(b) 3.5 kg m
2
(c) 4.5 kg m
2
(d) 5.5 kg m
2
9. A man of mass m starts falling towards a planet
of mass M and radius R. As he reaches near to
the surface, he realizes that he will pass through
a small hole in the planet. As he enters the hole,
he sees that the planet is really made of two
pieces a spherical shell of negligible thickness of
mass 2M/3 and a point mass M/3 at the centre.
Change in the force of gravity experienced by
the man is
(a)
2
2 GMm
3
R
(b) 0
(c)
2
1 GMm
3
R
(d)
2
4 GMm
3
R
10. Geo-stationary satellite is one which
(a) remains stationary at a fixed height from the
earth’s surface
(b) revolves like other satellites but in the
opposite direction of earth’s rotation
(c) revolves round the earth at a suitable height
with same angular velocity and in the same
direction as earth does about its own axis
(d) None of these
11. T wo 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 Dx on
applying force F, how much force is needed to
stretch wire 2 by the same amount?
(a) 4 F (b) 6 F (c) 9 F (d) F
12. An iron rod of length 2m and cross-sectional area
of 50 mm
2
 stretched by 0.5 mm, when a mass of
250 kg is hung from its lower end. Young’s
modulus of iron rod is
(a) 19.6 × 10
20
 N/m
2
(b) 19.6 × 10
18
 N/m
2
(c) 19.6 × 10
10
 N/m
2
(d) 19.6 × 10
15
 N/m
2
13. Viscosity is the property of a liquid due to which
it :
(a) occupies minimum surface area
(b) opposes relative motion between its
adjacent layers
(c) becomes spherical in shape
(d) tends to regain its deformed position
14. The radiation emitted by a perfectly black body
is proportional to
(a) temperature on ideal gas scale
(b) fourth root of temperature on ideal gas scale
(c) fourth power of temperature on ideal gas
scale
(d) square of temperature on ideal gas scale
15. A copper sphere cools from 62°C to 50°C in 10
minutes and to 42°C in the next 10 minutes.
Calculate the temperature of the surroundings.
(a) 18 .01ºC (b) 26ºC
(c) 10.6ºC (d) 20ºC
16. An air bubble of volume v
0
 is released by a fish
at a depth h in a lake. The bubble rises to the
surface. Assume constant temperature and
standard atmospheric pressure above the lake.
The volume of the bubble just before touching
the surface will be (density) of water is r
(a)v
0
(b) v
0
(rgh/p)
(c)
0
v
gh
1
p
æö r
+
ç÷
èø
(d) v
0
gh
1
p
æö r
+
ç÷
èø
17. The molecules of a given mass of gas have a root
mean square velocity of 200m s
–1
 at 27°C and
1.0 × 10
5
 N m
–2
 pressure. When the temperature
is 127°C and the pressure 0.5 × 10
5 
Nm
–2
, the root
mean square velocity in ms
–1
, is
(a)
3
400
(b) 2 100
(c)
3
2 100
(d)
3
100
18. Which of the following expressions corresponds
to simple harmonic motion along a straight line,
where x is the displacement and a, b, c are positive
constants?
(a) a + bx – cx
2
(b) bx
2
(c) a – bx + cx
2
(d) – bx
19. A mass m is suspended from a spring of force
constant k and just touches another identical
spring fixed to the floor as shown in the figure.
The time period of small oscillations is
(a) 
m
2
k
p (b) 
mm
k k /2
p +p    
k
m
k
(c) 
m
3k /2
p (d) 
mm
k 2k
p +p .
20. 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) 37 cm (c) 31 cm (d) 80 cm
21. In an uniformly charged sphere of total charge  Q
and radius R, the electric field E is plotted as
function of distance from the centre. The graph
which would correspond to the above will be
(a)
E
R r
(b)
E
R r
(c)
E
R r
(d)
E
R r
22. A charge Q
1
 exerts some force on a second charge
Q
2
. If a 3rd charge Q
3
 is brought near, then the
force of Q
1
 exerted on Q
2
 –
(a) will increase
(b) will decrease
(c) will remain unchanged
(d) will increase if Q
3
 is of the same sign as Q
1
and will decrease if Q
3
 is of opposite sign.
23. A hollow metal sphere of radius 5 cm is charged
such that the potential on its surface is 10 V . The
potential at a distance of 2 cm from the centre of
the sphere is
(a) zero (b) 1 0 V (c) 4 V (d) 10/3 V
24. If the potential of a capacitor having capacity 6 mF
is increased from 10 V to 20 V , then increase in its
energy will be
(a) 4 × 10
–4 
J (b) 4 × 10
–6 
J
(c) 9 × 10
–4 
J (d) 12 × 10
–6 
J
25. Calculate the effective resistance between A and
B in following network.
5W 10W 15W
20W 30W 10W
B
10W
10W
A
(a) 5 W (b) 10 W (c) 20 W (d) 30 W
26. A steady current is set up in a cubic network
composed of wires of equal resistance and length
d as shown in figure. What is the magnetic field
at the centre P due to the cubic network
(a)
0
2I
4d
m
p
(b)
0
2I
4 2d
m
p
(c) 0                         
(  )
H
A
B C
G
F
E
D
P
(d)
0
I
4d
m qp
p
27. If M is magnetic moment and B is the magnetic
field, then the torque is given by
(a)
M.B
uu r ur
(b)
M
B
uur
ur
(c)
MB ´
uu r ur
(d) MB
uu r ur
28. A metal rod of length 1 m is rotated about one of
its ends in a plane right angles to a field of induc-
tance 2.5 × 10
–3
 Wb/m². If it makes 1800 revolu-
tions/min. Calculate induced e.m.f. between its
ends.
(a) 2.471 V (b) 3.171 V
(c) 0.471 V (d) 1.771 V
29. Which one of the following curves represents
the variation of impedance (Z) with frequency f
in series LCR circuit?
(a)
Z
f
(b)
Z
f
(c)
Z
f
(d)
Z
f
30. An electromagnetic wave passes through space
and its equation is given by E = E
0
 sin (wt – kx)
where E is electric field. Energy density of
electromagnetic wave in space is
(a)   
2
00
1
E
2
e (b)
2
00
1
E
4
e
(c)
2
00
E e (d)
2
00
2E e
31. A thin convergent glass lens (m
g
 = 1.5) has a
power of + 5.0 D. When this lens is immersed in a
liquid of refractive index m, it acts as a divergent
lens of focal length 100 cm. The value of m must
be
(a) 4/3 (b) 5/3 (c) 5/4 (d) 6/5
32. A vessel of depth 2d cm. is half filled with a liquid
of refractive index µ
1
 and the upper half with a
liquid of refractive index µ
2
. The apparent depth
of the vessel seen perpendicularly is –
(a)
12
12
d
æö mm
ç÷
m +m
èø
(b)
12
11
d
æö
+
ç÷
mm
èø
(c)
12
11
2d
æö
+
ç÷
mm
èø
(d)
12
1
2d
æö
ç÷
mm
èø
33. If the distance between the first maxima and fifth
minima of a double slit pattern is 7mm and the
slits are separated by 0.15 mm with the screen 50
cm. from the slits, then the wavelength of the
light used is :
(a) 200 nm (b) 100 nm
(c) 800 nm (d) 600 nm
34. If the energy of a photon is 10 eV, then its
momentum is
(a) 5.33 × 10
–23
 kg m/s
(b) 5.33 × 10
–25
 kg m/s
(c) 5.33 × 10
–29
 kg m/s
(d) 5.33 × 10
–27
 kg m/s
35. The energies of energy levels A, B and C for a
given atom are in the sequence E
A
 < E
B
 < E
C
. If
the radiations of wavelengths l
1
, l
2
 and l
3
 are
emitted due to the atomic transitions C to B, B to
A and C to A respectively then which of the fol-
lowing relations is correct ?
(a) l
1
 + l
2
 + l
3
 = 0 (b) l
3
 = l
1
2
 + l
2
(c) l
3
 = l
1
 + l
2
(d) l
3
 = 
12
12
ll
l +l
36. Which one is correct about fission?
(a) Approx. 0.1% mass converts into energy .
(b) Most of energy of fission is in the form of
heat.
(c) In a fission of U
235
 about 200 eV energy is
released.
(d) On an average, one neutron is released per
fission of U
235
.
37. The output of an OR gate is connected to both
the inputs of a NAND gate. The combination will
serve as a:
(a) NOT gate (b) NOR gate
(c) AND gate (d) OR gate
38. In a semiconductor diode, the barrier potential
offers opposition to
(a) holes in P-region only
(b) free electrons in N-region only
(c) majority carriers in both regions
(d) majority as well as minority carriers in both
regions
39. An electron, in a hydrogen-like atom, is in an
excited state. It has a total energy of –3.4 eV . The
kinetic energy and the de-Broglie wavelength of
the electron are respectively
(a) +3.4 eV , 0.66 × 10
–9 
m
(b) –3.4 eV , 1.99 × 10
–9 
m
(c) 2.8 eV , 2.38 × 10
–10 
m
(d) 1.1 eV , 1.28 × 10
–9 
m
40. Light of wavelength 180 nm ejects photoelectron
from a plate of a metal whose work function is
2 eV . If a uniform magnetic field of 5 × 10
–5
 T is
applied parallel to plate, what would be the radius
of the path followed by electrons ejected normally
from the plate with maximum energy ?
(a) 1.239 m (b) 0.149 m
(c) 3.182 m (d) 2.33 m
PART - II : CHEMISTRY
41. The product of atomic weight and specific heat
of any element is a constant, approximately 6.4.
This is known as :
(a) Dalton’s law (b) Avogadro’s law
(c) Newton’s law (d) Dulong Pettit law
42. 1.520 g of hydroxide of a metal on ignition gave
0.995g of oxide. The equivalent weight of metal
is :
(a) 1.52 (b) 0.995 (c) 190 (d) 9
43. The correct order of radii is
(a) N < Be < B (b)F
–
 < O
2–
 < N
3–
(c) Na < Li < K (d) Fe
3+
 < Fe
2+
 < Fe
4+
44. Beryllium and aluminium exhibit many properties
which are similar. But, the two elements differ in
(a) forming covalent halides
(b) forming polymeric hydrides
(c) exhibiting maximum covalency in
compounds
(d) exhibiting amphoteric nature in their oxides
45. Among Al
2
O
3
, SiO
2
, P
2
O
3
 and SO
2
 the correct
order of acid strength is:
(a) Al
2
O
3
 < SiO
2
< SO
2
 < P
2
O
3
(b) SiO
2
< SO
2
 < Al
2
O
3
 <  P
2
O
3
(c) SO
2
<  P
2
O
3 
< SiO
2
 < Al
2
O
3
(d) Al
2
O
3 
< SiO
2
<  P
2
O
3 
< SO
2
46. A s bonded molecule MX
3
 is T-shaped. The
number of non bonded pair of electrons is
(a)0 (b) 2
(c)1
(d) can be predicted only if atomic number is
known
47. The correct bond order in the following species
is:
(a)
2–
2 22
O OO
++
<< (b)
–2
222
OOO
++
<<
(c)
–2
222
OOO
++
<< (d)
2–
2 22
O OO
++
<<
48. What is the free energy change,
G D
, when 1.0
mole of water at 100º
 
C and 1 atm pressure is
converted into steam at 100°C and 1 atm.
pressure?
(a) 540 cal (b) –9800  cal
(c) 9800 cal (d) 0 cal
49. H
2
S gas when passed through a solution of
cations containing HCl precipitates the cations
of second group of qualitative analysis but
not those belonging to the fourth group. It is
because
(a) presence of HCl decreases the sulphide
ion concentration.
(b) solubility product of group II sulphides
is more than that of group IV sulphides.
(c) presence of HCl increases the sulphide
ion concentration.
(d) sulphides of group IV cations are unstable
in HCl.
50. The pH of a solution is increased from 3 to 6; its
H
+
 ion concentration will be
(a) reduced to half
(b) doubled
(c) reduced by 1000 times
(d) increased by 1000 times
51. A gas X at 1 atm is bubbled through a solution
containing a mixture of 1 M Y
–
 and 1 M Z
–
 at
25°C. If the reduction potential is Z > Y > X, then
(a) Y will oxidise X and not Z
(b) Y will oxidise Z and not X
(c) Y will oxidise both X and Z
(d) Y will reduce both X and Z
52. When a crystal of caustic soda is exposed to air,
a liquid layer is deposited because :
(a) Crystal loses water
(b) Crystal absorbs moisture and CO
2
(c) Crystal melts
(d) Crystal sublimes
53. Which of the following compound is not chiral?
(a) DCH
2
CH
2
CH
2
Cl (b) CH
3
CH DCH
2
Cl
(c) CH
3
CHClCH
2
D (d) CH
3
CH
2
CH DCl
54. N C H C
5 6
º and C N H C
5 6
®
= exhibit which
type of isomerism?
(a) Position (b) Functional
(c) Demotropism (d) Positio n isomerism
55. The correct nucleophilicity order is
(a)
- - - -
< < < F HO NH CH
2 3
(b)
- - - -
- > - F
~
HO NH
~
CH
2 3
(c)
- - - -
> > > F HO NH CH
2 3
(d)
- - - -
> > >
3 2
CH HO F NH
56. In the anion HCOO
–
 the two carbon-oxygen
bonds are found to be of equal length. What is
the reason for it ?
(a) The C = O bond is weaker than the C — O
bond.
(b) The anion HCOO
–
 has two resonating
structures.
(c) The anion is obtained by removal of a proton
from the acid molecule.
(d) Electronic orbitals of carbon atom are
hybridised.
57. What will be the product in the following
reaction?
CH
2
NBS
(a)
CH
3
Br
(b)   
CH
2
Br
(c)
CH
2
Br
(d)
CH
3
Br