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 Page 1


PART - I : PHYSICS
1. The velocity and acceleration vectors of a particle
undergoing circular motion are 
ˆ
v 2i m/s =
r
 and
2
ˆˆ
a 2i 4j m/s =+
r
 respectively at an instant of
time. The radius of the circle is –
(a) 1 m (b) 2 m (c) 3 m (d) 4 m
2. A man runs at a speed of 4 m/s to overtake a
standing bus. When he is 6 m behind the door at
t = 0, the bus moves forward and continuous
with a constant acceleration of 1.2 m/s
2
. The man
reaches the door in time t. Then,
(a) 4 t = 6 + 0.6 t
2
(b) 1.2 t
2
 = 4 t
(c) 4 t
2
 = 1.2 t (d) 6 + 4 t = 0.2 t
2
3. Wave pulse can travel along a tense string like a
violin spring. A series of experiments showed that
the wave velocity V of a pulse depends on the
following quantities, the tension T of the string,
the cross-section area A of the string and then as
per unit volume r of the string. Obtain an
expression for V in terms of the T, A and r using
dimensional analysis.
(a) 
T
Vk
A
=
r
(b)
T
Vk
A
=
(c) 
A
Vk
T
r
= (d) None of these
4. A body is projected, making an acute angle with
the horizontal. If angle between velocity v
r
 and
acceleration g
r
 is q, then
(a) q = 90º (b) q = 0º
(c) 90º < q < 0º (d) 0º < q < 180º
5. The minimum velocity (in ms
–1
) with which a car
driver must traverse a flat curve of radius 150 m
and coefficient of friction 0.6 to avoid skidding is
(a) 60 (b) 3 0 (c) 15 (d) 2 5
6. A bob is hanging over a
pulley inside a car
through, a string. The
second end of the
string is in the hand of a
person standing in
the car. The car is
m
a
a
car
moving with constant acceleration 'a' directed
horizontally as shown in figure. Other end of the
string is pulled with constant acceleration ‘a’
vertically . The tension in the string is equal to –
(a)
22
mga +
(b) 
22
m g a ma +-
(c)
22
m g a ma ++
(d) m (g + a)
7. A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is
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. The velocity and acceleration vectors of a particle
undergoing circular motion are 
ˆ
v 2i m/s =
r
 and
2
ˆˆ
a 2i 4j m/s =+
r
 respectively at an instant of
time. The radius of the circle is –
(a) 1 m (b) 2 m (c) 3 m (d) 4 m
2. A man runs at a speed of 4 m/s to overtake a
standing bus. When he is 6 m behind the door at
t = 0, the bus moves forward and continuous
with a constant acceleration of 1.2 m/s
2
. The man
reaches the door in time t. Then,
(a) 4 t = 6 + 0.6 t
2
(b) 1.2 t
2
 = 4 t
(c) 4 t
2
 = 1.2 t (d) 6 + 4 t = 0.2 t
2
3. Wave pulse can travel along a tense string like a
violin spring. A series of experiments showed that
the wave velocity V of a pulse depends on the
following quantities, the tension T of the string,
the cross-section area A of the string and then as
per unit volume r of the string. Obtain an
expression for V in terms of the T, A and r using
dimensional analysis.
(a) 
T
Vk
A
=
r
(b)
T
Vk
A
=
(c) 
A
Vk
T
r
= (d) None of these
4. A body is projected, making an acute angle with
the horizontal. If angle between velocity v
r
 and
acceleration g
r
 is q, then
(a) q = 90º (b) q = 0º
(c) 90º < q < 0º (d) 0º < q < 180º
5. The minimum velocity (in ms
–1
) with which a car
driver must traverse a flat curve of radius 150 m
and coefficient of friction 0.6 to avoid skidding is
(a) 60 (b) 3 0 (c) 15 (d) 2 5
6. A bob is hanging over a
pulley inside a car
through, a string. The
second end of the
string is in the hand of a
person standing in
the car. The car is
m
a
a
car
moving with constant acceleration 'a' directed
horizontally as shown in figure. Other end of the
string is pulled with constant acceleration ‘a’
vertically . The tension in the string is equal to –
(a)
22
mga +
(b) 
22
m g a ma +-
(c)
22
m g a ma ++
(d) m (g + a)
7. A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is
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
m
C
A
a
B
q
(a)
cosec
g
a =
q
(b)
sin
g
a =
q
(c) a = g tan q (d) a = g cos q
8. A 3.628 kg freight car moving along a horizontal
rail road spur track at 7.2 km/hour strikes a bumper
whose coil springs experiences a maximum
compression of 30 cm in stopping the car. The
elastic potential energy of the springs at the
instant when they are compressed 15 cm is
(a) 12.1 × 10
4
 J (b) 121 × 10
4
 J
(c) 1.21 × 10
4
 J (d) 1.21 × 10
6
 J
9. A light inextensible string that goes
over a smooth fixed pulley as shown
in the figure connects two blocks of
masses 0.36 kg and 0.72 kg. Taking
g = 10 m/s
2
, find the work done (in
joules) by the string on the block of
mass 0.36 kg during the first second
after the system is released from rest.
(a) 4 J (b) 2 J (c) 8 J (d) 10 J
10. Two rings of radius R and nR made of same
material have the ratio of moment of inertia about
an axis passing through centre is 1 : 8. The value
of n is
(a)2 (b)
22
(c)4 (d) 1/2
11. A particle of mass ‘m’ is projected with a velocity
v making an angle of 30° with the horizontal. The
magnitude  of angular momentum of the projectile
about the point of projection when the particle is
at its maximum  height ‘h’ is
(a)  
2
3
2
mv
g
(b) zero (c) 
3
2
mv
g
(d)  
3
3
16
mv
g
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/R
v
(a) velocity is v, acceleration
is zero
(b) velocity is zero,
acceleration is
zero
(c) velocity is v, acceleration is v
2
/R
(d) velocity is zero, acceleration is v
2
/R
13. There is a shell of mass M and density of the
shell is uniform. The work done to take a point
mass from point A to B is  [AB = r]
(a)
GmM
r
B
A
R
M
(b) 
GmM
R
(c)
GmM
r
-
(d) zero
14. A cube is subjected to a uniform volume
compression. If the side of the cube decreases
by 2% the bulk strain is
(a) 0.02 (b) 0.03 (c) 0.04 (d) 0.06
15. A ball whose density is 0.4 × 10
3
 kg/m
3
 falls into
water from a height of 9 cm. To what depth does
the ball sink ?
(a) 2 cm (b) 6 cm (c) 4.5 cm (d) 2.25 c m
16. Figure shows a copper rod joined to a steel rod.
The rods have equal length and equal cross-
sectional area. The free end of the copper rod is
kept at 0ºC and that of steel rod is kept at 100ºC.
Find the temperature of the junction of the rod.
Conductivity of copper = 390 W/mºC.
Conductivity of steel = 46 W/m ºC
0ºC Copper Steel 100ºC
(a) 18.01ºC (b ) 26ºC (c) 10.6ºC (d) 20ºC
17. If the radius of a star is R and it acts as a black
body , what would be the temperature of the star, in
which the rate of energy production is Q ?
(a) Q/4pR
2 
s (b) (Q/4pR
2
s)
–1/2
(c) (4pR
2
Q/s)
1/4
(d) (Q/4pR
2
s)
1/4
18. A thermodynamical system is changed from state
(P
1
, V
1
) to (P
2
, V
2
) by two different process, the
quantity which will remain same will be
(a) DQ (b) DW
(c) DQ + DW (d) DQ – DW
19. A Carnot’s heat engine works between the
temperatures 427°C and 27°C. What amount of
heat should it consume per second to deliver
mechanical work at the rate of 1.0 kW?
(a) 0.417 kcal/s (b) 4.17 kcal/s
(c) 41.7 kcal/s (d) 0.212 kcal/s
20. A vessel containing 1 more of O
2
 gas (molar mass
32) at temperature T. The pressure of the gas is p.
An identical vessel containing one mole of he
gas (molar mass 4) at temperature 2T has a
pressure of
(a) p/8 (b) p (c) 2 p (d) 8p
Page 3


PART - I : PHYSICS
1. The velocity and acceleration vectors of a particle
undergoing circular motion are 
ˆ
v 2i m/s =
r
 and
2
ˆˆ
a 2i 4j m/s =+
r
 respectively at an instant of
time. The radius of the circle is –
(a) 1 m (b) 2 m (c) 3 m (d) 4 m
2. A man runs at a speed of 4 m/s to overtake a
standing bus. When he is 6 m behind the door at
t = 0, the bus moves forward and continuous
with a constant acceleration of 1.2 m/s
2
. The man
reaches the door in time t. Then,
(a) 4 t = 6 + 0.6 t
2
(b) 1.2 t
2
 = 4 t
(c) 4 t
2
 = 1.2 t (d) 6 + 4 t = 0.2 t
2
3. Wave pulse can travel along a tense string like a
violin spring. A series of experiments showed that
the wave velocity V of a pulse depends on the
following quantities, the tension T of the string,
the cross-section area A of the string and then as
per unit volume r of the string. Obtain an
expression for V in terms of the T, A and r using
dimensional analysis.
(a) 
T
Vk
A
=
r
(b)
T
Vk
A
=
(c) 
A
Vk
T
r
= (d) None of these
4. A body is projected, making an acute angle with
the horizontal. If angle between velocity v
r
 and
acceleration g
r
 is q, then
(a) q = 90º (b) q = 0º
(c) 90º < q < 0º (d) 0º < q < 180º
5. The minimum velocity (in ms
–1
) with which a car
driver must traverse a flat curve of radius 150 m
and coefficient of friction 0.6 to avoid skidding is
(a) 60 (b) 3 0 (c) 15 (d) 2 5
6. A bob is hanging over a
pulley inside a car
through, a string. The
second end of the
string is in the hand of a
person standing in
the car. The car is
m
a
a
car
moving with constant acceleration 'a' directed
horizontally as shown in figure. Other end of the
string is pulled with constant acceleration ‘a’
vertically . The tension in the string is equal to –
(a)
22
mga +
(b) 
22
m g a ma +-
(c)
22
m g a ma ++
(d) m (g + a)
7. A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is
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
m
C
A
a
B
q
(a)
cosec
g
a =
q
(b)
sin
g
a =
q
(c) a = g tan q (d) a = g cos q
8. A 3.628 kg freight car moving along a horizontal
rail road spur track at 7.2 km/hour strikes a bumper
whose coil springs experiences a maximum
compression of 30 cm in stopping the car. The
elastic potential energy of the springs at the
instant when they are compressed 15 cm is
(a) 12.1 × 10
4
 J (b) 121 × 10
4
 J
(c) 1.21 × 10
4
 J (d) 1.21 × 10
6
 J
9. A light inextensible string that goes
over a smooth fixed pulley as shown
in the figure connects two blocks of
masses 0.36 kg and 0.72 kg. Taking
g = 10 m/s
2
, find the work done (in
joules) by the string on the block of
mass 0.36 kg during the first second
after the system is released from rest.
(a) 4 J (b) 2 J (c) 8 J (d) 10 J
10. Two rings of radius R and nR made of same
material have the ratio of moment of inertia about
an axis passing through centre is 1 : 8. The value
of n is
(a)2 (b)
22
(c)4 (d) 1/2
11. A particle of mass ‘m’ is projected with a velocity
v making an angle of 30° with the horizontal. The
magnitude  of angular momentum of the projectile
about the point of projection when the particle is
at its maximum  height ‘h’ is
(a)  
2
3
2
mv
g
(b) zero (c) 
3
2
mv
g
(d)  
3
3
16
mv
g
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/R
v
(a) velocity is v, acceleration
is zero
(b) velocity is zero,
acceleration is
zero
(c) velocity is v, acceleration is v
2
/R
(d) velocity is zero, acceleration is v
2
/R
13. There is a shell of mass M and density of the
shell is uniform. The work done to take a point
mass from point A to B is  [AB = r]
(a)
GmM
r
B
A
R
M
(b) 
GmM
R
(c)
GmM
r
-
(d) zero
14. A cube is subjected to a uniform volume
compression. If the side of the cube decreases
by 2% the bulk strain is
(a) 0.02 (b) 0.03 (c) 0.04 (d) 0.06
15. A ball whose density is 0.4 × 10
3
 kg/m
3
 falls into
water from a height of 9 cm. To what depth does
the ball sink ?
(a) 2 cm (b) 6 cm (c) 4.5 cm (d) 2.25 c m
16. Figure shows a copper rod joined to a steel rod.
The rods have equal length and equal cross-
sectional area. The free end of the copper rod is
kept at 0ºC and that of steel rod is kept at 100ºC.
Find the temperature of the junction of the rod.
Conductivity of copper = 390 W/mºC.
Conductivity of steel = 46 W/m ºC
0ºC Copper Steel 100ºC
(a) 18.01ºC (b ) 26ºC (c) 10.6ºC (d) 20ºC
17. If the radius of a star is R and it acts as a black
body , what would be the temperature of the star, in
which the rate of energy production is Q ?
(a) Q/4pR
2 
s (b) (Q/4pR
2
s)
–1/2
(c) (4pR
2
Q/s)
1/4
(d) (Q/4pR
2
s)
1/4
18. A thermodynamical system is changed from state
(P
1
, V
1
) to (P
2
, V
2
) by two different process, the
quantity which will remain same will be
(a) DQ (b) DW
(c) DQ + DW (d) DQ – DW
19. A Carnot’s heat engine works between the
temperatures 427°C and 27°C. What amount of
heat should it consume per second to deliver
mechanical work at the rate of 1.0 kW?
(a) 0.417 kcal/s (b) 4.17 kcal/s
(c) 41.7 kcal/s (d) 0.212 kcal/s
20. A vessel containing 1 more of O
2
 gas (molar mass
32) at temperature T. The pressure of the gas is p.
An identical vessel containing one mole of he
gas (molar mass 4) at temperature 2T has a
pressure of
(a) p/8 (b) p (c) 2 p (d) 8p
21. The temperature of an ideal gas is increased from
27
°
C to 127
°
C, then percentage increase in v
rms
is
(a) 37% (b) 11% (c) 33% (d) 15.5%
22. Two gases occupy two containers A and B the
gas in A, of volume 0.10m
3
, exerts a pressure of
1.40 MPa and that in B of volume 0.15m
3
 exerts a
pressure 0.7 MPa. The two containers are united
by a tube of negligible volume and the gases are
allowed to intermingle. Then if the temperature
remains constant, the final pressure in the
container will be (in MPa)
(a) 0.70 (b) 0.98 (c) 1.40 (d) 2 10
23. An instantaneous displacement of a simple
harmonic oscillator is x = A cos (wt + p/4). Its
speed will be maximum at time
(a) p/4 w (b) p/2 w (c) p/w (d) 2 p/w
24. Two waves of wavelengths 99 cm and 100 cm
both travelling with velocity 396 m/s are made to
interfere. The number of beats produced by them
per second is
(a)1 (b) 2 (c)4 (d) 8
25. If equation of transverse wave is y = x
0
 cos
2p
x
nt
æö
-
ç÷
èø l
. Maximum velocity of particle is
twice of wave velocity , if l is-
(a) p /2x
0
(b) 2p x
0
(c) p x (d) p x
0
26. Three equal charges (q) are placed at corners of
an equilateral triangle of side a. The force on any
charge is
(a) zero (b)
3
 
2
2
Kq
a
(c)
2
2
Kq
3a
(d)
33
2
2
Kq
a
27. Two identical capacitors, have the same capaci-
tance C. One of them is charged to potential V
1
and the other to V
2
. The negative ends of the
capacitors are connected together. When the
positive ends are also connected, the decrease
in energy of the combined system is –
(a)
22
12
1
C(V V)
4
- (b)
22
12
1
C(V V)
4
+
(c)
2
12
1
C(V V)
4
- (d)
2
12
1
C(V V)
4
+
28. What should be the characteristic of fuse wire?
(a) High melting point, high specific resistance.
(b) Low melting point, low specific resistance.
(c) High melting point, low specific resistance.
(d) Low melting point, high specific resistance.
29. In the circuit shown in figure potential difference
between points A and B is 16 V. the current
passing through 2W resistance will be
A B
4W
9V 3V
4W 1W
2W
(a) 2.5 A (b) 3.5 A (c) 4.0 A (d) zero
30. Two parallel conductors carry current in opposite
directions as shown in figure. One conductor
carries a current of 10.0 A. Point C is a distance
d
2
 to the right of the 10.0 A current. If d = 18 cm
and I is adjusted so that the magnetic field at C is
zero, the value of the current I is
(a) 10.0 A
d
C
10.0 A I
(b) 30.0 A
(c) 8.0 A
(d) 18.0 A
31. A uniform electric field and uniform magnetic field
are acting along the same direction in a certain
region. If an electron is projected in the region
such that its velocity is pointed along the
direction of fields, then the electron
(a) will turn towards right of direction of motion
(b) speed will decrease
(c) speed will increase
(d) will turn towards left direction of motion
32. Eddy currents are produced when
(a) a metal is kept in varying magnetic field
(b) a metal is kept in steady magnetic field
(c) a circular coil is placed in a magnetic field
(d) through a circular coil, current is passed
33. Two coaxial solenoids are made by winding thin
insulated wire over a pipe of cross-sectional area
A = 10 cm
2
 and length = 20 cm. If one of the
solenoid has 300 turns and the other 400 turns,
their mutual inductance is
(m
0
 = 4p × 10 
–7
 Tm A
–1
)
(a) 2.4p × 10
–5
 H (b) 4.8p × 10
–4
 H
(c) 4.8p × 10
–5
 H (d) 2.4p × 10
–4
 H
34. The ratio of secondary and primary turns of
step-up transformer is 4 : 1. If a current of 4 A is
applied to the primary, the induced current in
secondary will be
(a) 8 A (b) 2 A (c) 1 A (d) 0.5 A
Page 4


PART - I : PHYSICS
1. The velocity and acceleration vectors of a particle
undergoing circular motion are 
ˆ
v 2i m/s =
r
 and
2
ˆˆ
a 2i 4j m/s =+
r
 respectively at an instant of
time. The radius of the circle is –
(a) 1 m (b) 2 m (c) 3 m (d) 4 m
2. A man runs at a speed of 4 m/s to overtake a
standing bus. When he is 6 m behind the door at
t = 0, the bus moves forward and continuous
with a constant acceleration of 1.2 m/s
2
. The man
reaches the door in time t. Then,
(a) 4 t = 6 + 0.6 t
2
(b) 1.2 t
2
 = 4 t
(c) 4 t
2
 = 1.2 t (d) 6 + 4 t = 0.2 t
2
3. Wave pulse can travel along a tense string like a
violin spring. A series of experiments showed that
the wave velocity V of a pulse depends on the
following quantities, the tension T of the string,
the cross-section area A of the string and then as
per unit volume r of the string. Obtain an
expression for V in terms of the T, A and r using
dimensional analysis.
(a) 
T
Vk
A
=
r
(b)
T
Vk
A
=
(c) 
A
Vk
T
r
= (d) None of these
4. A body is projected, making an acute angle with
the horizontal. If angle between velocity v
r
 and
acceleration g
r
 is q, then
(a) q = 90º (b) q = 0º
(c) 90º < q < 0º (d) 0º < q < 180º
5. The minimum velocity (in ms
–1
) with which a car
driver must traverse a flat curve of radius 150 m
and coefficient of friction 0.6 to avoid skidding is
(a) 60 (b) 3 0 (c) 15 (d) 2 5
6. A bob is hanging over a
pulley inside a car
through, a string. The
second end of the
string is in the hand of a
person standing in
the car. The car is
m
a
a
car
moving with constant acceleration 'a' directed
horizontally as shown in figure. Other end of the
string is pulled with constant acceleration ‘a’
vertically . The tension in the string is equal to –
(a)
22
mga +
(b) 
22
m g a ma +-
(c)
22
m g a ma ++
(d) m (g + a)
7. A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is
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
m
C
A
a
B
q
(a)
cosec
g
a =
q
(b)
sin
g
a =
q
(c) a = g tan q (d) a = g cos q
8. A 3.628 kg freight car moving along a horizontal
rail road spur track at 7.2 km/hour strikes a bumper
whose coil springs experiences a maximum
compression of 30 cm in stopping the car. The
elastic potential energy of the springs at the
instant when they are compressed 15 cm is
(a) 12.1 × 10
4
 J (b) 121 × 10
4
 J
(c) 1.21 × 10
4
 J (d) 1.21 × 10
6
 J
9. A light inextensible string that goes
over a smooth fixed pulley as shown
in the figure connects two blocks of
masses 0.36 kg and 0.72 kg. Taking
g = 10 m/s
2
, find the work done (in
joules) by the string on the block of
mass 0.36 kg during the first second
after the system is released from rest.
(a) 4 J (b) 2 J (c) 8 J (d) 10 J
10. Two rings of radius R and nR made of same
material have the ratio of moment of inertia about
an axis passing through centre is 1 : 8. The value
of n is
(a)2 (b)
22
(c)4 (d) 1/2
11. A particle of mass ‘m’ is projected with a velocity
v making an angle of 30° with the horizontal. The
magnitude  of angular momentum of the projectile
about the point of projection when the particle is
at its maximum  height ‘h’ is
(a)  
2
3
2
mv
g
(b) zero (c) 
3
2
mv
g
(d)  
3
3
16
mv
g
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/R
v
(a) velocity is v, acceleration
is zero
(b) velocity is zero,
acceleration is
zero
(c) velocity is v, acceleration is v
2
/R
(d) velocity is zero, acceleration is v
2
/R
13. There is a shell of mass M and density of the
shell is uniform. The work done to take a point
mass from point A to B is  [AB = r]
(a)
GmM
r
B
A
R
M
(b) 
GmM
R
(c)
GmM
r
-
(d) zero
14. A cube is subjected to a uniform volume
compression. If the side of the cube decreases
by 2% the bulk strain is
(a) 0.02 (b) 0.03 (c) 0.04 (d) 0.06
15. A ball whose density is 0.4 × 10
3
 kg/m
3
 falls into
water from a height of 9 cm. To what depth does
the ball sink ?
(a) 2 cm (b) 6 cm (c) 4.5 cm (d) 2.25 c m
16. Figure shows a copper rod joined to a steel rod.
The rods have equal length and equal cross-
sectional area. The free end of the copper rod is
kept at 0ºC and that of steel rod is kept at 100ºC.
Find the temperature of the junction of the rod.
Conductivity of copper = 390 W/mºC.
Conductivity of steel = 46 W/m ºC
0ºC Copper Steel 100ºC
(a) 18.01ºC (b ) 26ºC (c) 10.6ºC (d) 20ºC
17. If the radius of a star is R and it acts as a black
body , what would be the temperature of the star, in
which the rate of energy production is Q ?
(a) Q/4pR
2 
s (b) (Q/4pR
2
s)
–1/2
(c) (4pR
2
Q/s)
1/4
(d) (Q/4pR
2
s)
1/4
18. A thermodynamical system is changed from state
(P
1
, V
1
) to (P
2
, V
2
) by two different process, the
quantity which will remain same will be
(a) DQ (b) DW
(c) DQ + DW (d) DQ – DW
19. A Carnot’s heat engine works between the
temperatures 427°C and 27°C. What amount of
heat should it consume per second to deliver
mechanical work at the rate of 1.0 kW?
(a) 0.417 kcal/s (b) 4.17 kcal/s
(c) 41.7 kcal/s (d) 0.212 kcal/s
20. A vessel containing 1 more of O
2
 gas (molar mass
32) at temperature T. The pressure of the gas is p.
An identical vessel containing one mole of he
gas (molar mass 4) at temperature 2T has a
pressure of
(a) p/8 (b) p (c) 2 p (d) 8p
21. The temperature of an ideal gas is increased from
27
°
C to 127
°
C, then percentage increase in v
rms
is
(a) 37% (b) 11% (c) 33% (d) 15.5%
22. Two gases occupy two containers A and B the
gas in A, of volume 0.10m
3
, exerts a pressure of
1.40 MPa and that in B of volume 0.15m
3
 exerts a
pressure 0.7 MPa. The two containers are united
by a tube of negligible volume and the gases are
allowed to intermingle. Then if the temperature
remains constant, the final pressure in the
container will be (in MPa)
(a) 0.70 (b) 0.98 (c) 1.40 (d) 2 10
23. An instantaneous displacement of a simple
harmonic oscillator is x = A cos (wt + p/4). Its
speed will be maximum at time
(a) p/4 w (b) p/2 w (c) p/w (d) 2 p/w
24. Two waves of wavelengths 99 cm and 100 cm
both travelling with velocity 396 m/s are made to
interfere. The number of beats produced by them
per second is
(a)1 (b) 2 (c)4 (d) 8
25. If equation of transverse wave is y = x
0
 cos
2p
x
nt
æö
-
ç÷
èø l
. Maximum velocity of particle is
twice of wave velocity , if l is-
(a) p /2x
0
(b) 2p x
0
(c) p x (d) p x
0
26. Three equal charges (q) are placed at corners of
an equilateral triangle of side a. The force on any
charge is
(a) zero (b)
3
 
2
2
Kq
a
(c)
2
2
Kq
3a
(d)
33
2
2
Kq
a
27. Two identical capacitors, have the same capaci-
tance C. One of them is charged to potential V
1
and the other to V
2
. The negative ends of the
capacitors are connected together. When the
positive ends are also connected, the decrease
in energy of the combined system is –
(a)
22
12
1
C(V V)
4
- (b)
22
12
1
C(V V)
4
+
(c)
2
12
1
C(V V)
4
- (d)
2
12
1
C(V V)
4
+
28. What should be the characteristic of fuse wire?
(a) High melting point, high specific resistance.
(b) Low melting point, low specific resistance.
(c) High melting point, low specific resistance.
(d) Low melting point, high specific resistance.
29. In the circuit shown in figure potential difference
between points A and B is 16 V. the current
passing through 2W resistance will be
A B
4W
9V 3V
4W 1W
2W
(a) 2.5 A (b) 3.5 A (c) 4.0 A (d) zero
30. Two parallel conductors carry current in opposite
directions as shown in figure. One conductor
carries a current of 10.0 A. Point C is a distance
d
2
 to the right of the 10.0 A current. If d = 18 cm
and I is adjusted so that the magnetic field at C is
zero, the value of the current I is
(a) 10.0 A
d
C
10.0 A I
(b) 30.0 A
(c) 8.0 A
(d) 18.0 A
31. A uniform electric field and uniform magnetic field
are acting along the same direction in a certain
region. If an electron is projected in the region
such that its velocity is pointed along the
direction of fields, then the electron
(a) will turn towards right of direction of motion
(b) speed will decrease
(c) speed will increase
(d) will turn towards left direction of motion
32. Eddy currents are produced when
(a) a metal is kept in varying magnetic field
(b) a metal is kept in steady magnetic field
(c) a circular coil is placed in a magnetic field
(d) through a circular coil, current is passed
33. Two coaxial solenoids are made by winding thin
insulated wire over a pipe of cross-sectional area
A = 10 cm
2
 and length = 20 cm. If one of the
solenoid has 300 turns and the other 400 turns,
their mutual inductance is
(m
0
 = 4p × 10 
–7
 Tm A
–1
)
(a) 2.4p × 10
–5
 H (b) 4.8p × 10
–4
 H
(c) 4.8p × 10
–5
 H (d) 2.4p × 10
–4
 H
34. The ratio of secondary and primary turns of
step-up transformer is 4 : 1. If a current of 4 A is
applied to the primary, the induced current in
secondary will be
(a) 8 A (b) 2 A (c) 1 A (d) 0.5 A
35. Which of the following electromagnetic
radiations has the smallest wavelength?
(a) Ultraviolet rays (b) X-rays
(c) g-rays (d) Microwaves
36. When light is refracted, which of the following
does not change ?
(a) Wavelength (b) Frequency
(c) Velocity (d) Amplitude
37. The given lens is broken into four parts and
rearranged as shown. If the initial focal length is
f then after rearrangement the equivalent focal
length is –
(a) f
1  2
3  4
in air
(b) f / 2
(c) f / 4
(d) 4 f
38. In Young's double slit experiment 10th order
maximum is obtained at the point of observation
in the interference pattern for l = 7000 Å. If the
source is replaced by another one of wavelength
5000 Å then the order of maximum at the same
point will be –
(a) 12 th (b) 14 th (c) 16 th (d) 18 th
39. Transfer characteristics [output voltage (V
0
) vs
input voltage (V
1
)] for a base biased transistor in
CE configuration is as shown in the figure. For
using transistor as a switch, it is used
(a) in region (III)
(b) both in region
(I) and (III)
V
0
III
II
I
V
i
(c) in region (II)
(d) in region (I)
40. The circuit is equivalent to
A
B
Y
(a) AND gate (b) OR gate
(c) Not gate (d) None of these
PART - II : CHEMISTRY
41. How many grams of concentrated nitric acid
solution should be used to prepare 250 mL of
2.0M HNO
3
? The concentrated acid is 70% HNO
3
.
(a) 90.0 g conc. HNO
3
(b) 70.0 g conc. HNO
3
(c) 54.0 g conc. HNO
3
(d) 45.0 g conc. HNO
3
42. The Bohr orbit radius for the hydrogen atom
(n = 1) is approximately 0.530 Å. The radius for
the first excited state (n = 2) orbit is (in Å)
(a) 0.13 (b) 1.06 (c) 4.77 (d) 2.12
43. The screening effect of d-electrons is
(a) Equal to p-electrons
(b) Much more than p-electrons
(c) Same as f-electrons
(d) Less than p-electrons.
44. When the first ionisation energies are plotted
against atomic number, the peaks are occupied
by
(a) Alkali metals
(b) Rare gases
(c) Halogens
(d) Transition elements
45. The ions O
2–
, F
–
, Na
+
, Mg
2+
 and Al
3+
 are
isoelectronic. Their ionic radii show :
(a) A decrease from O
2–
 to F
–
 and then increase
from Na
+
 to Al
3+
(b) A significant increase from O
2–
 to Al
3+
(c) A significant decrease from O
2–
 to Al
3+
(d) An increase from O
2–
 to F
–
 and then
decrease from Na
+
 to Al
3+
46. Using MOT, which of the following pairs denote
paramagnetic species?
(a)B
2
 and C
2
(b) B
2
 and O
2
(c)N
2
 and C
2
(d) O
2
 and 
2
2
O
,
47. Increasing order of rms velocities of H
2
, O
2
, N
2
and HBr is
(a)H
2
 > O
2
 > N
2
 > HBr
(b) HBr < O
2
 < N
2
 < 
2
H
(c)H
2
 > N
2
 < O
2
 > HBr
(d) HBr > N
2
 < O
2
 < 
2
H
48. For the dissociation reaction,
H
2
 (g) ® 2H (g) DH = 162 Kcal,
heat of atomisation of H is
(a) 81 Kcal (b) 162 Kcal
(c) 208 Kcal (d) 218 Kcal
49. The enthalpy of combustion of 2 moles of
benzene at 27°C differs from the value determined
in bomb calorimeter by
(a) – 2.494 kJ (b) 2.494 kJ
(c) – 7.483 kJ (d) 7.483 kJ
Page 5


PART - I : PHYSICS
1. The velocity and acceleration vectors of a particle
undergoing circular motion are 
ˆ
v 2i m/s =
r
 and
2
ˆˆ
a 2i 4j m/s =+
r
 respectively at an instant of
time. The radius of the circle is –
(a) 1 m (b) 2 m (c) 3 m (d) 4 m
2. A man runs at a speed of 4 m/s to overtake a
standing bus. When he is 6 m behind the door at
t = 0, the bus moves forward and continuous
with a constant acceleration of 1.2 m/s
2
. The man
reaches the door in time t. Then,
(a) 4 t = 6 + 0.6 t
2
(b) 1.2 t
2
 = 4 t
(c) 4 t
2
 = 1.2 t (d) 6 + 4 t = 0.2 t
2
3. Wave pulse can travel along a tense string like a
violin spring. A series of experiments showed that
the wave velocity V of a pulse depends on the
following quantities, the tension T of the string,
the cross-section area A of the string and then as
per unit volume r of the string. Obtain an
expression for V in terms of the T, A and r using
dimensional analysis.
(a) 
T
Vk
A
=
r
(b)
T
Vk
A
=
(c) 
A
Vk
T
r
= (d) None of these
4. A body is projected, making an acute angle with
the horizontal. If angle between velocity v
r
 and
acceleration g
r
 is q, then
(a) q = 90º (b) q = 0º
(c) 90º < q < 0º (d) 0º < q < 180º
5. The minimum velocity (in ms
–1
) with which a car
driver must traverse a flat curve of radius 150 m
and coefficient of friction 0.6 to avoid skidding is
(a) 60 (b) 3 0 (c) 15 (d) 2 5
6. A bob is hanging over a
pulley inside a car
through, a string. The
second end of the
string is in the hand of a
person standing in
the car. The car is
m
a
a
car
moving with constant acceleration 'a' directed
horizontally as shown in figure. Other end of the
string is pulled with constant acceleration ‘a’
vertically . The tension in the string is equal to –
(a)
22
mga +
(b) 
22
m g a ma +-
(c)
22
m g a ma ++
(d) m (g + a)
7. A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is
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
m
C
A
a
B
q
(a)
cosec
g
a =
q
(b)
sin
g
a =
q
(c) a = g tan q (d) a = g cos q
8. A 3.628 kg freight car moving along a horizontal
rail road spur track at 7.2 km/hour strikes a bumper
whose coil springs experiences a maximum
compression of 30 cm in stopping the car. The
elastic potential energy of the springs at the
instant when they are compressed 15 cm is
(a) 12.1 × 10
4
 J (b) 121 × 10
4
 J
(c) 1.21 × 10
4
 J (d) 1.21 × 10
6
 J
9. A light inextensible string that goes
over a smooth fixed pulley as shown
in the figure connects two blocks of
masses 0.36 kg and 0.72 kg. Taking
g = 10 m/s
2
, find the work done (in
joules) by the string on the block of
mass 0.36 kg during the first second
after the system is released from rest.
(a) 4 J (b) 2 J (c) 8 J (d) 10 J
10. Two rings of radius R and nR made of same
material have the ratio of moment of inertia about
an axis passing through centre is 1 : 8. The value
of n is
(a)2 (b)
22
(c)4 (d) 1/2
11. A particle of mass ‘m’ is projected with a velocity
v making an angle of 30° with the horizontal. The
magnitude  of angular momentum of the projectile
about the point of projection when the particle is
at its maximum  height ‘h’ is
(a)  
2
3
2
mv
g
(b) zero (c) 
3
2
mv
g
(d)  
3
3
16
mv
g
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/R
v
(a) velocity is v, acceleration
is zero
(b) velocity is zero,
acceleration is
zero
(c) velocity is v, acceleration is v
2
/R
(d) velocity is zero, acceleration is v
2
/R
13. There is a shell of mass M and density of the
shell is uniform. The work done to take a point
mass from point A to B is  [AB = r]
(a)
GmM
r
B
A
R
M
(b) 
GmM
R
(c)
GmM
r
-
(d) zero
14. A cube is subjected to a uniform volume
compression. If the side of the cube decreases
by 2% the bulk strain is
(a) 0.02 (b) 0.03 (c) 0.04 (d) 0.06
15. A ball whose density is 0.4 × 10
3
 kg/m
3
 falls into
water from a height of 9 cm. To what depth does
the ball sink ?
(a) 2 cm (b) 6 cm (c) 4.5 cm (d) 2.25 c m
16. Figure shows a copper rod joined to a steel rod.
The rods have equal length and equal cross-
sectional area. The free end of the copper rod is
kept at 0ºC and that of steel rod is kept at 100ºC.
Find the temperature of the junction of the rod.
Conductivity of copper = 390 W/mºC.
Conductivity of steel = 46 W/m ºC
0ºC Copper Steel 100ºC
(a) 18.01ºC (b ) 26ºC (c) 10.6ºC (d) 20ºC
17. If the radius of a star is R and it acts as a black
body , what would be the temperature of the star, in
which the rate of energy production is Q ?
(a) Q/4pR
2 
s (b) (Q/4pR
2
s)
–1/2
(c) (4pR
2
Q/s)
1/4
(d) (Q/4pR
2
s)
1/4
18. A thermodynamical system is changed from state
(P
1
, V
1
) to (P
2
, V
2
) by two different process, the
quantity which will remain same will be
(a) DQ (b) DW
(c) DQ + DW (d) DQ – DW
19. A Carnot’s heat engine works between the
temperatures 427°C and 27°C. What amount of
heat should it consume per second to deliver
mechanical work at the rate of 1.0 kW?
(a) 0.417 kcal/s (b) 4.17 kcal/s
(c) 41.7 kcal/s (d) 0.212 kcal/s
20. A vessel containing 1 more of O
2
 gas (molar mass
32) at temperature T. The pressure of the gas is p.
An identical vessel containing one mole of he
gas (molar mass 4) at temperature 2T has a
pressure of
(a) p/8 (b) p (c) 2 p (d) 8p
21. The temperature of an ideal gas is increased from
27
°
C to 127
°
C, then percentage increase in v
rms
is
(a) 37% (b) 11% (c) 33% (d) 15.5%
22. Two gases occupy two containers A and B the
gas in A, of volume 0.10m
3
, exerts a pressure of
1.40 MPa and that in B of volume 0.15m
3
 exerts a
pressure 0.7 MPa. The two containers are united
by a tube of negligible volume and the gases are
allowed to intermingle. Then if the temperature
remains constant, the final pressure in the
container will be (in MPa)
(a) 0.70 (b) 0.98 (c) 1.40 (d) 2 10
23. An instantaneous displacement of a simple
harmonic oscillator is x = A cos (wt + p/4). Its
speed will be maximum at time
(a) p/4 w (b) p/2 w (c) p/w (d) 2 p/w
24. Two waves of wavelengths 99 cm and 100 cm
both travelling with velocity 396 m/s are made to
interfere. The number of beats produced by them
per second is
(a)1 (b) 2 (c)4 (d) 8
25. If equation of transverse wave is y = x
0
 cos
2p
x
nt
æö
-
ç÷
èø l
. Maximum velocity of particle is
twice of wave velocity , if l is-
(a) p /2x
0
(b) 2p x
0
(c) p x (d) p x
0
26. Three equal charges (q) are placed at corners of
an equilateral triangle of side a. The force on any
charge is
(a) zero (b)
3
 
2
2
Kq
a
(c)
2
2
Kq
3a
(d)
33
2
2
Kq
a
27. Two identical capacitors, have the same capaci-
tance C. One of them is charged to potential V
1
and the other to V
2
. The negative ends of the
capacitors are connected together. When the
positive ends are also connected, the decrease
in energy of the combined system is –
(a)
22
12
1
C(V V)
4
- (b)
22
12
1
C(V V)
4
+
(c)
2
12
1
C(V V)
4
- (d)
2
12
1
C(V V)
4
+
28. What should be the characteristic of fuse wire?
(a) High melting point, high specific resistance.
(b) Low melting point, low specific resistance.
(c) High melting point, low specific resistance.
(d) Low melting point, high specific resistance.
29. In the circuit shown in figure potential difference
between points A and B is 16 V. the current
passing through 2W resistance will be
A B
4W
9V 3V
4W 1W
2W
(a) 2.5 A (b) 3.5 A (c) 4.0 A (d) zero
30. Two parallel conductors carry current in opposite
directions as shown in figure. One conductor
carries a current of 10.0 A. Point C is a distance
d
2
 to the right of the 10.0 A current. If d = 18 cm
and I is adjusted so that the magnetic field at C is
zero, the value of the current I is
(a) 10.0 A
d
C
10.0 A I
(b) 30.0 A
(c) 8.0 A
(d) 18.0 A
31. A uniform electric field and uniform magnetic field
are acting along the same direction in a certain
region. If an electron is projected in the region
such that its velocity is pointed along the
direction of fields, then the electron
(a) will turn towards right of direction of motion
(b) speed will decrease
(c) speed will increase
(d) will turn towards left direction of motion
32. Eddy currents are produced when
(a) a metal is kept in varying magnetic field
(b) a metal is kept in steady magnetic field
(c) a circular coil is placed in a magnetic field
(d) through a circular coil, current is passed
33. Two coaxial solenoids are made by winding thin
insulated wire over a pipe of cross-sectional area
A = 10 cm
2
 and length = 20 cm. If one of the
solenoid has 300 turns and the other 400 turns,
their mutual inductance is
(m
0
 = 4p × 10 
–7
 Tm A
–1
)
(a) 2.4p × 10
–5
 H (b) 4.8p × 10
–4
 H
(c) 4.8p × 10
–5
 H (d) 2.4p × 10
–4
 H
34. The ratio of secondary and primary turns of
step-up transformer is 4 : 1. If a current of 4 A is
applied to the primary, the induced current in
secondary will be
(a) 8 A (b) 2 A (c) 1 A (d) 0.5 A
35. Which of the following electromagnetic
radiations has the smallest wavelength?
(a) Ultraviolet rays (b) X-rays
(c) g-rays (d) Microwaves
36. When light is refracted, which of the following
does not change ?
(a) Wavelength (b) Frequency
(c) Velocity (d) Amplitude
37. The given lens is broken into four parts and
rearranged as shown. If the initial focal length is
f then after rearrangement the equivalent focal
length is –
(a) f
1  2
3  4
in air
(b) f / 2
(c) f / 4
(d) 4 f
38. In Young's double slit experiment 10th order
maximum is obtained at the point of observation
in the interference pattern for l = 7000 Å. If the
source is replaced by another one of wavelength
5000 Å then the order of maximum at the same
point will be –
(a) 12 th (b) 14 th (c) 16 th (d) 18 th
39. Transfer characteristics [output voltage (V
0
) vs
input voltage (V
1
)] for a base biased transistor in
CE configuration is as shown in the figure. For
using transistor as a switch, it is used
(a) in region (III)
(b) both in region
(I) and (III)
V
0
III
II
I
V
i
(c) in region (II)
(d) in region (I)
40. The circuit is equivalent to
A
B
Y
(a) AND gate (b) OR gate
(c) Not gate (d) None of these
PART - II : CHEMISTRY
41. How many grams of concentrated nitric acid
solution should be used to prepare 250 mL of
2.0M HNO
3
? The concentrated acid is 70% HNO
3
.
(a) 90.0 g conc. HNO
3
(b) 70.0 g conc. HNO
3
(c) 54.0 g conc. HNO
3
(d) 45.0 g conc. HNO
3
42. The Bohr orbit radius for the hydrogen atom
(n = 1) is approximately 0.530 Å. The radius for
the first excited state (n = 2) orbit is (in Å)
(a) 0.13 (b) 1.06 (c) 4.77 (d) 2.12
43. The screening effect of d-electrons is
(a) Equal to p-electrons
(b) Much more than p-electrons
(c) Same as f-electrons
(d) Less than p-electrons.
44. When the first ionisation energies are plotted
against atomic number, the peaks are occupied
by
(a) Alkali metals
(b) Rare gases
(c) Halogens
(d) Transition elements
45. The ions O
2–
, F
–
, Na
+
, Mg
2+
 and Al
3+
 are
isoelectronic. Their ionic radii show :
(a) A decrease from O
2–
 to F
–
 and then increase
from Na
+
 to Al
3+
(b) A significant increase from O
2–
 to Al
3+
(c) A significant decrease from O
2–
 to Al
3+
(d) An increase from O
2–
 to F
–
 and then
decrease from Na
+
 to Al
3+
46. Using MOT, which of the following pairs denote
paramagnetic species?
(a)B
2
 and C
2
(b) B
2
 and O
2
(c)N
2
 and C
2
(d) O
2
 and 
2
2
O
,
47. Increasing order of rms velocities of H
2
, O
2
, N
2
and HBr is
(a)H
2
 > O
2
 > N
2
 > HBr
(b) HBr < O
2
 < N
2
 < 
2
H
(c)H
2
 > N
2
 < O
2
 > HBr
(d) HBr > N
2
 < O
2
 < 
2
H
48. For the dissociation reaction,
H
2
 (g) ® 2H (g) DH = 162 Kcal,
heat of atomisation of H is
(a) 81 Kcal (b) 162 Kcal
(c) 208 Kcal (d) 218 Kcal
49. The enthalpy of combustion of 2 moles of
benzene at 27°C differs from the value determined
in bomb calorimeter by
(a) – 2.494 kJ (b) 2.494 kJ
(c) – 7.483 kJ (d) 7.483 kJ
50. If 1.0 mole of I
2
 is introduced into 1.0 litre flask at
1000 K, at equilibrium (K
c
 = 10
–6
), which one is
correct?
(a) [I
2
 (g)] > [I
–
 (g)]
(b) [I
2
 (g)] < [I
–
 (g)]
(c) [I
2
 (g)] = [I
–
 (g)]
(d) [I
2
 (g)] = )] g ( I [
2
1
-
51. For the reaction
CO (g) + (1/2) O
2
 (g) ¾¾® CO
2
 (g), K
p 
/ K
c
 is
( a) RT (b) (R T)
–1
(c) (RT)
–1/2
(d) (RT)
1/2
52. The oxidation state of sulphur in Na
2
S
4
O
6 
is
(a) + 6 (b)
3
2
*
(c)
5
2
*
(d) – 2
53. When same amount of  zinc is treated separately
with excess of sulphuric acid and excess of
sodium hydroxide solution, the ratio of volumes
of hydrogen evolved is:
(a) 1 : 1 (b) 1 : 2 (c) 2 : 1 (d) 9 : 4
54. The alkali metals form salt-like hydrides by the
direct synthesis at elevated temperature. The
thermal stability of these hydrides decreases in
which of the following orders ?
(a) CsH  > RbH > KH > NaH > LiH
(b) KH > NaH > LiH > CsH > RbH
(c) NaH > LiH > KH > RbH > CsH
(d) LiH > NaH > KH > RbH > CsH
55. The most stable carbanion among the following
is :
(a)
CH
2 
– CH
2
–
(b)
CH
2
–
(c)
CH
2
OCH
3
–
(d)
CH
2
NO
2
–
56. Among the following four structures I to IV ,
7 3
3
) I (
|
5 2
H C
CH
CH H C - -
,  
O
5 2
3
|
) II (
3
H C H
CH
C C CH - - -
 
|
|
(III)
H
HC
H
Å
-
,          
5 2
) IV (
3
|
5 2
H C H
CH
C H C - -
it is true that
(a) only I and II are chiral compounds.
(b) only III is a chiral compound.
(c) only II and IV are chiral compounds.
(d) all four are chiral compounds.
57. The number of enantiomers of the compound
CH
3
CH BrCHBrCOOH is
(a)0 (b) 1 (c)3 (d) 4
58. Which one of the following reactions is expected
to readily give a hydrocarbon product in good
yields ?
(a)
oxidation
ic Electrolyt
RCOOK ¾ ¾ ¾ ¾ ® ¾
(b)
¾ ¾® ¾
+ -
2
Br
Ag RCOO
(c)
u
¾ ¾® ¾
h
Cl
3 3
2
CH CH
(d)
¾ ¾ ¾ ¾ ® ¾
OH H C
3 3
5 2
CCl ) CH (
59. What will be the main product when acetylene
reacts with hypochlorous acid?
(a) Trichloroacetaldehyde
(b) Acetaldehyde
(c) Dichloroacetaldehyde
(d) Chloro acetaldehyde
60. The greenhouse effect is because of the
(a) presence of gases, which in general are strong
infrared absorbers, in the atmosphere.
(b) presence of CO
2
 only in the atmosphere.
(c) presence of O
3
 and CH
4
 in the atmosphere.
(d) N
2
O and chlorofluorohydrocarbons in the
atmosphere.
61. Due to Frenkel defect, the density of ionic solids
(a) decreases (b) increases
(c) does not change (d) changes
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