BITSAT Past Year Paper- 2020 | BITSAT Mock Tests Series & Past Year Papers 2025 - JEE PDF Download

 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. An organ pipe, open from both end produces 5
beats per second when vibrated with a source
of frequency 200 Hz. The second harmonic of
the same pipes produces 10 beats per second
with a source of frequency 420 Hz. The
fundamental frequency of organ pipe is
(a) 195 H z (b) 205 H z
(c) 190 H z (d) 210 H z
2. A vessel of depth 2d cm is half filled with a liquid
of refractive index m
1
 and the upper half with a
liquid of refractive index m
2
. The apparent depth
of the vessel seen perpendicularly is
(a)
d
2 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m + m
m m
(b)
d
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(c)
d 2
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(d)
d 2
1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m m
3. The upper half of an inclined plane with inclination
f is perfectly smooth while the lower half is rough.
A body starting from rest at the top will again
come to rest at the bottom if the coefficient of
friction for the lower half is given by
(a) 2 cos f (b) 2 sin f
(c) tan f (d) 2 tan f
4. A body of density ' r is dropped from rest at a
height h into a lake of density r where ' r > r
neglecting all dissipative forces, calculate the
maximum depth to which the body sinks before
returning to float on the surface :
(a) 
'
h
r - r
(b) 
r
r' h
(c)
'
' h
r - r
r
(d)
'
h
r - r
r
5. If the forward voltage in a semiconductor diode
is changed from 0.5V to 0.7 V , then the forward
current changes by 1.0 mA. The forward
resistance of diode junction will be
(a) 100 W (b) 120 W
(c) 200 W (d) 240 W
6. The heat generated in a circuit is given by
2
I Q = Rt,  where I is current, R is resistance and
t is time. If the percentage errors in measuring I,
R and t are 2%, 1% and 1% respectively, then
the maximum error in measuring heat will be
(a) 2% (b) 3% (c) 4% (d) 6%
7. The r.m.s. velocity of oxygen molecule at 16ºC is
474 m/sec. The r.m.s. velocity in m/s of hydrogen
molecule at 127ºC is
(a) 1603 (b) 1896 (c) 2 23 0. 59 (d) 2730
8. A projectile A is thrown at an angle of 30° to the
horizontal from point P . At the same time, another
projectile B is thrown with velocity v
2
 upwards
from the point Q vertically below the highest
point. For B to collide with A, 
1
2
v
v
 should be
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. An organ pipe, open from both end produces 5
beats per second when vibrated with a source
of frequency 200 Hz. The second harmonic of
the same pipes produces 10 beats per second
with a source of frequency 420 Hz. The
fundamental frequency of organ pipe is
(a) 195 H z (b) 205 H z
(c) 190 H z (d) 210 H z
2. A vessel of depth 2d cm is half filled with a liquid
of refractive index m
1
 and the upper half with a
liquid of refractive index m
2
. The apparent depth
of the vessel seen perpendicularly is
(a)
d
2 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m + m
m m
(b)
d
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(c)
d 2
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(d)
d 2
1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m m
3. The upper half of an inclined plane with inclination
f is perfectly smooth while the lower half is rough.
A body starting from rest at the top will again
come to rest at the bottom if the coefficient of
friction for the lower half is given by
(a) 2 cos f (b) 2 sin f
(c) tan f (d) 2 tan f
4. A body of density ' r is dropped from rest at a
height h into a lake of density r where ' r > r
neglecting all dissipative forces, calculate the
maximum depth to which the body sinks before
returning to float on the surface :
(a) 
'
h
r - r
(b) 
r
r' h
(c)
'
' h
r - r
r
(d)
'
h
r - r
r
5. If the forward voltage in a semiconductor diode
is changed from 0.5V to 0.7 V , then the forward
current changes by 1.0 mA. The forward
resistance of diode junction will be
(a) 100 W (b) 120 W
(c) 200 W (d) 240 W
6. The heat generated in a circuit is given by
2
I Q = Rt,  where I is current, R is resistance and
t is time. If the percentage errors in measuring I,
R and t are 2%, 1% and 1% respectively, then
the maximum error in measuring heat will be
(a) 2% (b) 3% (c) 4% (d) 6%
7. The r.m.s. velocity of oxygen molecule at 16ºC is
474 m/sec. The r.m.s. velocity in m/s of hydrogen
molecule at 127ºC is
(a) 1603 (b) 1896 (c) 2 23 0. 59 (d) 2730
8. A projectile A is thrown at an angle of 30° to the
horizontal from point P . At the same time, another
projectile B is thrown with velocity v
2
 upwards
from the point Q vertically below the highest
point. For B to collide with A, 
1
2
v
v
 should be
Highest
point
P Q
30°
A
B
v
1
v
2
(a)1 (b) 2
(c)
2
1
(d) 4
9. The coefficient of friction between the rubber
ty res and the road way is 0.25. The maximum speed
with which a car can be driven round a curve of
radius  20 m without skidding is (g = 9.8 m/s
2
)
(a) 5 m/s (b) 7 m/s
(c) 10 m/s (d) 14 m/s
10. A boy pushes a toy box 2.0 m along the floor by
means of a force of 10 N directed downward at
an angle of 60º to the horizontal. The work done
by the boy is
(a) 6 J (b) 8 J (c) 10 J (d) 12 J
11. The engine  of a truck moving  along a straight
road delivers constant power. The distance
travelled by the truck in time t is proportional to
(a)t (b) t
2
(c)
t
(d) t
3/2
12. The escape velocity from a planet is v
e
. A tunnel
is dug along a diameter of the planet and a small
body is dropped into it at the surface. When the
body reaches the centre of the planet, its speed
will be
(a)v
e
(b)
e
v /2
(c)v
e
/2 (d) zero
13. If the the earth is at one-fourth of its present
distance from the sun, the duration of year will be
(a) half the present year
(b) one-eight the present year
(c) one-fourth the present year
(d) one-sixth the present year
14. A vessel with water is placed on a weighing pan
and it reads 600 g. Now a ball of mass 40 g and
density 0.80 g cm
–3
 is sunk into the water with a
pin of negligible volume, as show n in figure keeping
it sunk. The weighing pan will show a reading
(a) 600 g
(b) 550 g 
Weighing pan
(c) 650 g
(d) 632 g
15. In an adiabatic process, the pressure is increased
by 
2
%
3
. If g = 
3
2
, then the volume decreases by
nearly
(a)
4
%
9
(b)
2
%
3
(c) 1% (d)  
9
%
4
16. The equation of a projectile is  
2
gx
x 3 y
2
- =
The angle of projection is given by
(a)
3
1
tan = q (b) 3 tan = q
(c)
2
p
(d) zero.
17. Frequency of oscillation  is proportional to
2k k
m
(a)
m
k 3
(b)
m
k
(c )
m
k 2
(d)
k 3
m
18. Two wires A and B of the same material, having
radii in the ratio 1 : 2 and carry currents in the
ratio 4 : 1. The ratio of drift speed of electrons in
A and B is
(a) 16 : 1 (b) 1 : 16 (c) 1 : 4 (d) 4 : 1
19. 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
20. The energy of electron in the nth orbit of
hydrogen atom is expressed as 
n
2
13.6
E eV.
n
-
=
The shortest and longest wavelength of Lyman
series will be
(a) 910 Å, 1213 Å (b) 5463 Å, 7858 Å
(c) 1315 Å, 1530 Å (d) None of these
21. In the circuit given below, the charge in mC, on
the capacitor  having 5 mF is
6 V
F 3m
F 2m
F 5m
F 4m
+
d
c
b
e
f
a
(a) 4.5 (b) 9 (c)7 (d) 1 5
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. An organ pipe, open from both end produces 5
beats per second when vibrated with a source
of frequency 200 Hz. The second harmonic of
the same pipes produces 10 beats per second
with a source of frequency 420 Hz. The
fundamental frequency of organ pipe is
(a) 195 H z (b) 205 H z
(c) 190 H z (d) 210 H z
2. A vessel of depth 2d cm is half filled with a liquid
of refractive index m
1
 and the upper half with a
liquid of refractive index m
2
. The apparent depth
of the vessel seen perpendicularly is
(a)
d
2 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m + m
m m
(b)
d
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(c)
d 2
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(d)
d 2
1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m m
3. The upper half of an inclined plane with inclination
f is perfectly smooth while the lower half is rough.
A body starting from rest at the top will again
come to rest at the bottom if the coefficient of
friction for the lower half is given by
(a) 2 cos f (b) 2 sin f
(c) tan f (d) 2 tan f
4. A body of density ' r is dropped from rest at a
height h into a lake of density r where ' r > r
neglecting all dissipative forces, calculate the
maximum depth to which the body sinks before
returning to float on the surface :
(a) 
'
h
r - r
(b) 
r
r' h
(c)
'
' h
r - r
r
(d)
'
h
r - r
r
5. If the forward voltage in a semiconductor diode
is changed from 0.5V to 0.7 V , then the forward
current changes by 1.0 mA. The forward
resistance of diode junction will be
(a) 100 W (b) 120 W
(c) 200 W (d) 240 W
6. The heat generated in a circuit is given by
2
I Q = Rt,  where I is current, R is resistance and
t is time. If the percentage errors in measuring I,
R and t are 2%, 1% and 1% respectively, then
the maximum error in measuring heat will be
(a) 2% (b) 3% (c) 4% (d) 6%
7. The r.m.s. velocity of oxygen molecule at 16ºC is
474 m/sec. The r.m.s. velocity in m/s of hydrogen
molecule at 127ºC is
(a) 1603 (b) 1896 (c) 2 23 0. 59 (d) 2730
8. A projectile A is thrown at an angle of 30° to the
horizontal from point P . At the same time, another
projectile B is thrown with velocity v
2
 upwards
from the point Q vertically below the highest
point. For B to collide with A, 
1
2
v
v
 should be
Highest
point
P Q
30°
A
B
v
1
v
2
(a)1 (b) 2
(c)
2
1
(d) 4
9. The coefficient of friction between the rubber
ty res and the road way is 0.25. The maximum speed
with which a car can be driven round a curve of
radius  20 m without skidding is (g = 9.8 m/s
2
)
(a) 5 m/s (b) 7 m/s
(c) 10 m/s (d) 14 m/s
10. A boy pushes a toy box 2.0 m along the floor by
means of a force of 10 N directed downward at
an angle of 60º to the horizontal. The work done
by the boy is
(a) 6 J (b) 8 J (c) 10 J (d) 12 J
11. The engine  of a truck moving  along a straight
road delivers constant power. The distance
travelled by the truck in time t is proportional to
(a)t (b) t
2
(c)
t
(d) t
3/2
12. The escape velocity from a planet is v
e
. A tunnel
is dug along a diameter of the planet and a small
body is dropped into it at the surface. When the
body reaches the centre of the planet, its speed
will be
(a)v
e
(b)
e
v /2
(c)v
e
/2 (d) zero
13. If the the earth is at one-fourth of its present
distance from the sun, the duration of year will be
(a) half the present year
(b) one-eight the present year
(c) one-fourth the present year
(d) one-sixth the present year
14. A vessel with water is placed on a weighing pan
and it reads 600 g. Now a ball of mass 40 g and
density 0.80 g cm
–3
 is sunk into the water with a
pin of negligible volume, as show n in figure keeping
it sunk. The weighing pan will show a reading
(a) 600 g
(b) 550 g 
Weighing pan
(c) 650 g
(d) 632 g
15. In an adiabatic process, the pressure is increased
by 
2
%
3
. If g = 
3
2
, then the volume decreases by
nearly
(a)
4
%
9
(b)
2
%
3
(c) 1% (d)  
9
%
4
16. The equation of a projectile is  
2
gx
x 3 y
2
- =
The angle of projection is given by
(a)
3
1
tan = q (b) 3 tan = q
(c)
2
p
(d) zero.
17. Frequency of oscillation  is proportional to
2k k
m
(a)
m
k 3
(b)
m
k
(c )
m
k 2
(d)
k 3
m
18. Two wires A and B of the same material, having
radii in the ratio 1 : 2 and carry currents in the
ratio 4 : 1. The ratio of drift speed of electrons in
A and B is
(a) 16 : 1 (b) 1 : 16 (c) 1 : 4 (d) 4 : 1
19. 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
20. The energy of electron in the nth orbit of
hydrogen atom is expressed as 
n
2
13.6
E eV.
n
-
=
The shortest and longest wavelength of Lyman
series will be
(a) 910 Å, 1213 Å (b) 5463 Å, 7858 Å
(c) 1315 Å, 1530 Å (d) None of these
21. In the circuit given below, the charge in mC, on
the capacitor  having 5 mF is
6 V
F 3m
F 2m
F 5m
F 4m
+
d
c
b
e
f
a
(a) 4.5 (b) 9 (c)7 (d) 1 5
22. A crystal has a coefficient of expansion 13×10
–
7
 in one direction and 231 × 10
–7
 in every
direction at right angles to it. Then the cubical
coefficient of expansion is
(a) 462 × 10
–7
(b) 244 × 10
–7
(c) 475 × 10
–7
(d) 257 × 10
–7
23. A solid cylinder and a hollow cylinder both of
the same mass and same external diameter are
released from the same height at the same time
on an inclined plane. Both roll down without
slipping. Which one will reach the bottom first?
(a) Solid cylinder
(b) Both together
(c) One with higher density
(d) Hollow cylinder
24. A whistle of frequency 1000 Hz is sounded on a
car travelling towards a cliff with velocity of 18
m s
–1
 normal to the cliff. If c = 330 m s
–1
, then
the apparent frequency of the echo as heard by
the car driver is nearly
(a) 1115 H z (b) 115 H z
(c) 67 Hz (d) 47.2 H z
25. A thin sheet of glass (m = 1.5) of thickness 6 micron
introduced in the path of one of the interfering
beams in a double slit experiment shifts the central
fringe to a position previously occupied by fifth
bright fringe. Then the wavelength of light used is
(a) 6000 Å (b) 3000 Å
(c) 4500 Å (d) 7500 Å
26. M.I of a circular loop of radius R about the axis
in figure is
Axis of rotation
O
R/2
x
y
(a) MR
2
(b) (3/4) MR
2
(c) MR
2
/2 (d) 2MR
2
27. Three charge q, Q and 4q are placed in a straight
line of length l at points distant 0, 
1
2
 and l
respectively from one end. In order to make the
net froce on q zero, the charge Q must be equal to
(a) –q (b) – 2q (c)
q
2
-
(d) q
28. In series combination of R, L and C with an A.C.
source at resonance, if R = 20 ohm, then
impedence Z of the combination is
(a) 20 ohm (b) zero
(c) 10 ohm (d) 400 ohm
29. An electron moves in a circular arc of radius 10
m at a contant speed of 2 × 10
7
 ms
–1
 with its
plane of motion normal to a magnetic flux density
of 10
–5
 T. What will be the value of specific
charge of the electron?
(a) 2 × 10
4
 C kg
–1
(b) 2 × 10
5
 C kg
–1
(c) 5 × 10
6
 C kg
–1
(d) 2 × 10
11
 C kg
–1
30. From a 200 m high tower, one ball is thrown
upwards with speed of 10 
1
s m
-
 and another is
thrown vertically downwards at the same speeds
simultaneously. The time difference of their
reaching the ground will be nearest to
(a) 12 s (b) 6 s (c) 2 s (d) 1 s
31. A wheel is rotating at 900 r.p.m. about its axis.
When power is cut off it comes to rest in 1 minute.
The angular retardation in rad/s
2
 is
(a) p /2 (b) p /4 (c) p /6 (d) p /8
32. A particle executing simple harmonic motion
along y-axis has its motion described by the
equation sin() y A tB w =+ . The amplitude of
the simple harmonic motion is
(a)A (b) B
(c) A + B (d) AB +
33. A conducting square loop of side L and
resistance R moves in its plane with a uniform
velocity v perpendicular to one of its side. A
magnetic induction B constant in time and space,
pointing perpendicular and into the plane of the
loop exists everywhere.
x     x     x 
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x x
x
x
x
x
x
x
x
x
x
x
x
B v
The current induced in the loop is
(a)
Bv
clockwise
R
l
(b)
Bv
anticlockwise
R
l
(c)
2B
anticlockwise
R
v l
(d) zero
34. A body of mass 2  kg is placed on a horizontal
surface having kinetic friction 0.4 and static
friction 0.5. If the force applied on the body is
2.5 N, then the frictional force acting on the body
will be [g = 10 ms
–2
]
(a) 8 N (b) 10  N
(c) 20 N (d) 2.5 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. An organ pipe, open from both end produces 5
beats per second when vibrated with a source
of frequency 200 Hz. The second harmonic of
the same pipes produces 10 beats per second
with a source of frequency 420 Hz. The
fundamental frequency of organ pipe is
(a) 195 H z (b) 205 H z
(c) 190 H z (d) 210 H z
2. A vessel of depth 2d cm is half filled with a liquid
of refractive index m
1
 and the upper half with a
liquid of refractive index m
2
. The apparent depth
of the vessel seen perpendicularly is
(a)
d
2 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m + m
m m
(b)
d
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(c)
d 2
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(d)
d 2
1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m m
3. The upper half of an inclined plane with inclination
f is perfectly smooth while the lower half is rough.
A body starting from rest at the top will again
come to rest at the bottom if the coefficient of
friction for the lower half is given by
(a) 2 cos f (b) 2 sin f
(c) tan f (d) 2 tan f
4. A body of density ' r is dropped from rest at a
height h into a lake of density r where ' r > r
neglecting all dissipative forces, calculate the
maximum depth to which the body sinks before
returning to float on the surface :
(a) 
'
h
r - r
(b) 
r
r' h
(c)
'
' h
r - r
r
(d)
'
h
r - r
r
5. If the forward voltage in a semiconductor diode
is changed from 0.5V to 0.7 V , then the forward
current changes by 1.0 mA. The forward
resistance of diode junction will be
(a) 100 W (b) 120 W
(c) 200 W (d) 240 W
6. The heat generated in a circuit is given by
2
I Q = Rt,  where I is current, R is resistance and
t is time. If the percentage errors in measuring I,
R and t are 2%, 1% and 1% respectively, then
the maximum error in measuring heat will be
(a) 2% (b) 3% (c) 4% (d) 6%
7. The r.m.s. velocity of oxygen molecule at 16ºC is
474 m/sec. The r.m.s. velocity in m/s of hydrogen
molecule at 127ºC is
(a) 1603 (b) 1896 (c) 2 23 0. 59 (d) 2730
8. A projectile A is thrown at an angle of 30° to the
horizontal from point P . At the same time, another
projectile B is thrown with velocity v
2
 upwards
from the point Q vertically below the highest
point. For B to collide with A, 
1
2
v
v
 should be
Highest
point
P Q
30°
A
B
v
1
v
2
(a)1 (b) 2
(c)
2
1
(d) 4
9. The coefficient of friction between the rubber
ty res and the road way is 0.25. The maximum speed
with which a car can be driven round a curve of
radius  20 m without skidding is (g = 9.8 m/s
2
)
(a) 5 m/s (b) 7 m/s
(c) 10 m/s (d) 14 m/s
10. A boy pushes a toy box 2.0 m along the floor by
means of a force of 10 N directed downward at
an angle of 60º to the horizontal. The work done
by the boy is
(a) 6 J (b) 8 J (c) 10 J (d) 12 J
11. The engine  of a truck moving  along a straight
road delivers constant power. The distance
travelled by the truck in time t is proportional to
(a)t (b) t
2
(c)
t
(d) t
3/2
12. The escape velocity from a planet is v
e
. A tunnel
is dug along a diameter of the planet and a small
body is dropped into it at the surface. When the
body reaches the centre of the planet, its speed
will be
(a)v
e
(b)
e
v /2
(c)v
e
/2 (d) zero
13. If the the earth is at one-fourth of its present
distance from the sun, the duration of year will be
(a) half the present year
(b) one-eight the present year
(c) one-fourth the present year
(d) one-sixth the present year
14. A vessel with water is placed on a weighing pan
and it reads 600 g. Now a ball of mass 40 g and
density 0.80 g cm
–3
 is sunk into the water with a
pin of negligible volume, as show n in figure keeping
it sunk. The weighing pan will show a reading
(a) 600 g
(b) 550 g 
Weighing pan
(c) 650 g
(d) 632 g
15. In an adiabatic process, the pressure is increased
by 
2
%
3
. If g = 
3
2
, then the volume decreases by
nearly
(a)
4
%
9
(b)
2
%
3
(c) 1% (d)  
9
%
4
16. The equation of a projectile is  
2
gx
x 3 y
2
- =
The angle of projection is given by
(a)
3
1
tan = q (b) 3 tan = q
(c)
2
p
(d) zero.
17. Frequency of oscillation  is proportional to
2k k
m
(a)
m
k 3
(b)
m
k
(c )
m
k 2
(d)
k 3
m
18. Two wires A and B of the same material, having
radii in the ratio 1 : 2 and carry currents in the
ratio 4 : 1. The ratio of drift speed of electrons in
A and B is
(a) 16 : 1 (b) 1 : 16 (c) 1 : 4 (d) 4 : 1
19. 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
20. The energy of electron in the nth orbit of
hydrogen atom is expressed as 
n
2
13.6
E eV.
n
-
=
The shortest and longest wavelength of Lyman
series will be
(a) 910 Å, 1213 Å (b) 5463 Å, 7858 Å
(c) 1315 Å, 1530 Å (d) None of these
21. In the circuit given below, the charge in mC, on
the capacitor  having 5 mF is
6 V
F 3m
F 2m
F 5m
F 4m
+
d
c
b
e
f
a
(a) 4.5 (b) 9 (c)7 (d) 1 5
22. A crystal has a coefficient of expansion 13×10
–
7
 in one direction and 231 × 10
–7
 in every
direction at right angles to it. Then the cubical
coefficient of expansion is
(a) 462 × 10
–7
(b) 244 × 10
–7
(c) 475 × 10
–7
(d) 257 × 10
–7
23. A solid cylinder and a hollow cylinder both of
the same mass and same external diameter are
released from the same height at the same time
on an inclined plane. Both roll down without
slipping. Which one will reach the bottom first?
(a) Solid cylinder
(b) Both together
(c) One with higher density
(d) Hollow cylinder
24. A whistle of frequency 1000 Hz is sounded on a
car travelling towards a cliff with velocity of 18
m s
–1
 normal to the cliff. If c = 330 m s
–1
, then
the apparent frequency of the echo as heard by
the car driver is nearly
(a) 1115 H z (b) 115 H z
(c) 67 Hz (d) 47.2 H z
25. A thin sheet of glass (m = 1.5) of thickness 6 micron
introduced in the path of one of the interfering
beams in a double slit experiment shifts the central
fringe to a position previously occupied by fifth
bright fringe. Then the wavelength of light used is
(a) 6000 Å (b) 3000 Å
(c) 4500 Å (d) 7500 Å
26. M.I of a circular loop of radius R about the axis
in figure is
Axis of rotation
O
R/2
x
y
(a) MR
2
(b) (3/4) MR
2
(c) MR
2
/2 (d) 2MR
2
27. Three charge q, Q and 4q are placed in a straight
line of length l at points distant 0, 
1
2
 and l
respectively from one end. In order to make the
net froce on q zero, the charge Q must be equal to
(a) –q (b) – 2q (c)
q
2
-
(d) q
28. In series combination of R, L and C with an A.C.
source at resonance, if R = 20 ohm, then
impedence Z of the combination is
(a) 20 ohm (b) zero
(c) 10 ohm (d) 400 ohm
29. An electron moves in a circular arc of radius 10
m at a contant speed of 2 × 10
7
 ms
–1
 with its
plane of motion normal to a magnetic flux density
of 10
–5
 T. What will be the value of specific
charge of the electron?
(a) 2 × 10
4
 C kg
–1
(b) 2 × 10
5
 C kg
–1
(c) 5 × 10
6
 C kg
–1
(d) 2 × 10
11
 C kg
–1
30. From a 200 m high tower, one ball is thrown
upwards with speed of 10 
1
s m
-
 and another is
thrown vertically downwards at the same speeds
simultaneously. The time difference of their
reaching the ground will be nearest to
(a) 12 s (b) 6 s (c) 2 s (d) 1 s
31. A wheel is rotating at 900 r.p.m. about its axis.
When power is cut off it comes to rest in 1 minute.
The angular retardation in rad/s
2
 is
(a) p /2 (b) p /4 (c) p /6 (d) p /8
32. A particle executing simple harmonic motion
along y-axis has its motion described by the
equation sin() y A tB w =+ . The amplitude of
the simple harmonic motion is
(a)A (b) B
(c) A + B (d) AB +
33. A conducting square loop of side L and
resistance R moves in its plane with a uniform
velocity v perpendicular to one of its side. A
magnetic induction B constant in time and space,
pointing perpendicular and into the plane of the
loop exists everywhere.
x     x     x 
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x x
x
x
x
x
x
x
x
x
x
x
x
B v
The current induced in the loop is
(a)
Bv
clockwise
R
l
(b)
Bv
anticlockwise
R
l
(c)
2B
anticlockwise
R
v l
(d) zero
34. A body of mass 2  kg is placed on a horizontal
surface having kinetic friction 0.4 and static
friction 0.5. If the force applied on the body is
2.5 N, then the frictional force acting on the body
will be [g = 10 ms
–2
]
(a) 8 N (b) 10  N
(c) 20 N (d) 2.5 N
35. A nucleus splits into two nuclear parts which
have their velocity ratio equal to 2 : 1. What will
be the ratio of their nuclear radius?
(a)2
1/3
 : 1 (b)   1 : 2
1/3
(c)3
1/2
 : 1 (d)   1 : 3
1/2
36. A charge +q is at a distance L/2 above a square
of side L. Then what is the flux linked with the
surface?
(a)
0
q
4e
(b)
0
2q
3e
(c)
0
q
6e
(d)
0
6q
e
37. A plane electromagnetic wave is incident on a
plane surface of area A, normally and is perfectly
reflected. If energy E strikes the surface in time t
then average pressure exerted on the surface is
(c = speed of light)
(a) zero (b) E/Atc
(c) 2E/Atc (d) E/c
38. There are tw o wire of same material and same length
while the diameter of second wire is two times the
diameter of first wire, then the ratio of extension
produced in the wires by applying same load will be
(a) 1 : 1 (b) 2 : 1 (c) 1 : 2 (d) 4 : 1
39. Determine the current in W 2 resistor.
W 2
W 3
W 1
6V
2.8 W
(a) 1 A (b) 1.5 A (c) 0.9 A ( d ) 0.6 A
40. The potential energy of a satellite of mass m and
revolving at a height R
e
 above the surface of
earth where R
e
 = radius of earth, is
(a) – m g R
e
(b)
2
R g m
e
-
(c)
3
R g m
e
-
(d)
4
R g m
e
-
PART - II : CHEMISTRY
41. If 0.2 gram of an organic compound containing
carbon, hydrogen and oxygen on combustion,
yielded 0.147 gram carbon dioxide and 0.12 gram
water. What will be the content of oxygen in the
substance ?
(a) 73.29% (b) 78.45%
(c) 83.23% (d) 89.50%
42. The Lassaigne’s extract is boiled with dil. HNO
3
before testing for halogens because
(a) silver halides are soluble in HNO
3
(b) Na
2
S and NaCN are decomposed by HNO
3
(c) Ag
2
S is soluble in HNO
3
(d) AgCN is soluble in HNO
3
43. What is X in the following conversion ?
OH CH
2
 
¾® ¾
X
 
H C
||
O
-
(a)K
2
Cr
2
O
7
, H
2
SO
4
/H
2
O
(b) HIO
4
(c) PCC/CH
2
Cl
2
(d)   OsO
4
, (CH
3
)
3
C.COOH, (CH
3
)
3
COH, OH
–
44. Maleic acid and fumaric acids are
(a) Chain isomers
(b) Functional isomers
(c) Tautomers
(d) Geometrical isomers
45. For which one of the processes represented by
the following equations the enthalpy (heat)
change is likely to be negative
(a) Cl (g) aq Cl (aq)
--
+®
(b) Cl(g) Cl (g) e
+-
®+
(c)
2
1/ 2Cl (g) Cl(g) ®
(d)
22
Cl (l) Cl (g) ®
46. A cyclic process ABCD is shown in P–V diagram
for an ideal gas. Which of the following diagram
represents the same process?
A
B
P
V
C
D
(a)
A B
C
D
V
T
(b)
A
B
C
D
V
T
(c)
A
B
C D
V
T
(d)
A
B
C
D
V
T
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. An organ pipe, open from both end produces 5
beats per second when vibrated with a source
of frequency 200 Hz. The second harmonic of
the same pipes produces 10 beats per second
with a source of frequency 420 Hz. The
fundamental frequency of organ pipe is
(a) 195 H z (b) 205 H z
(c) 190 H z (d) 210 H z
2. A vessel of depth 2d cm is half filled with a liquid
of refractive index m
1
 and the upper half with a
liquid of refractive index m
2
. The apparent depth
of the vessel seen perpendicularly is
(a)
d
2 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m + m
m m
(b)
d
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(c)
d 2
1 1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m
+
m
(d)
d 2
1
2 1
÷
÷
ø
ö
ç
ç
è
æ
m m
3. The upper half of an inclined plane with inclination
f is perfectly smooth while the lower half is rough.
A body starting from rest at the top will again
come to rest at the bottom if the coefficient of
friction for the lower half is given by
(a) 2 cos f (b) 2 sin f
(c) tan f (d) 2 tan f
4. A body of density ' r is dropped from rest at a
height h into a lake of density r where ' r > r
neglecting all dissipative forces, calculate the
maximum depth to which the body sinks before
returning to float on the surface :
(a) 
'
h
r - r
(b) 
r
r' h
(c)
'
' h
r - r
r
(d)
'
h
r - r
r
5. If the forward voltage in a semiconductor diode
is changed from 0.5V to 0.7 V , then the forward
current changes by 1.0 mA. The forward
resistance of diode junction will be
(a) 100 W (b) 120 W
(c) 200 W (d) 240 W
6. The heat generated in a circuit is given by
2
I Q = Rt,  where I is current, R is resistance and
t is time. If the percentage errors in measuring I,
R and t are 2%, 1% and 1% respectively, then
the maximum error in measuring heat will be
(a) 2% (b) 3% (c) 4% (d) 6%
7. The r.m.s. velocity of oxygen molecule at 16ºC is
474 m/sec. The r.m.s. velocity in m/s of hydrogen
molecule at 127ºC is
(a) 1603 (b) 1896 (c) 2 23 0. 59 (d) 2730
8. A projectile A is thrown at an angle of 30° to the
horizontal from point P . At the same time, another
projectile B is thrown with velocity v
2
 upwards
from the point Q vertically below the highest
point. For B to collide with A, 
1
2
v
v
 should be
Highest
point
P Q
30°
A
B
v
1
v
2
(a)1 (b) 2
(c)
2
1
(d) 4
9. The coefficient of friction between the rubber
ty res and the road way is 0.25. The maximum speed
with which a car can be driven round a curve of
radius  20 m without skidding is (g = 9.8 m/s
2
)
(a) 5 m/s (b) 7 m/s
(c) 10 m/s (d) 14 m/s
10. A boy pushes a toy box 2.0 m along the floor by
means of a force of 10 N directed downward at
an angle of 60º to the horizontal. The work done
by the boy is
(a) 6 J (b) 8 J (c) 10 J (d) 12 J
11. The engine  of a truck moving  along a straight
road delivers constant power. The distance
travelled by the truck in time t is proportional to
(a)t (b) t
2
(c)
t
(d) t
3/2
12. The escape velocity from a planet is v
e
. A tunnel
is dug along a diameter of the planet and a small
body is dropped into it at the surface. When the
body reaches the centre of the planet, its speed
will be
(a)v
e
(b)
e
v /2
(c)v
e
/2 (d) zero
13. If the the earth is at one-fourth of its present
distance from the sun, the duration of year will be
(a) half the present year
(b) one-eight the present year
(c) one-fourth the present year
(d) one-sixth the present year
14. A vessel with water is placed on a weighing pan
and it reads 600 g. Now a ball of mass 40 g and
density 0.80 g cm
–3
 is sunk into the water with a
pin of negligible volume, as show n in figure keeping
it sunk. The weighing pan will show a reading
(a) 600 g
(b) 550 g 
Weighing pan
(c) 650 g
(d) 632 g
15. In an adiabatic process, the pressure is increased
by 
2
%
3
. If g = 
3
2
, then the volume decreases by
nearly
(a)
4
%
9
(b)
2
%
3
(c) 1% (d)  
9
%
4
16. The equation of a projectile is  
2
gx
x 3 y
2
- =
The angle of projection is given by
(a)
3
1
tan = q (b) 3 tan = q
(c)
2
p
(d) zero.
17. Frequency of oscillation  is proportional to
2k k
m
(a)
m
k 3
(b)
m
k
(c )
m
k 2
(d)
k 3
m
18. Two wires A and B of the same material, having
radii in the ratio 1 : 2 and carry currents in the
ratio 4 : 1. The ratio of drift speed of electrons in
A and B is
(a) 16 : 1 (b) 1 : 16 (c) 1 : 4 (d) 4 : 1
19. 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
20. The energy of electron in the nth orbit of
hydrogen atom is expressed as 
n
2
13.6
E eV.
n
-
=
The shortest and longest wavelength of Lyman
series will be
(a) 910 Å, 1213 Å (b) 5463 Å, 7858 Å
(c) 1315 Å, 1530 Å (d) None of these
21. In the circuit given below, the charge in mC, on
the capacitor  having 5 mF is
6 V
F 3m
F 2m
F 5m
F 4m
+
d
c
b
e
f
a
(a) 4.5 (b) 9 (c)7 (d) 1 5
22. A crystal has a coefficient of expansion 13×10
–
7
 in one direction and 231 × 10
–7
 in every
direction at right angles to it. Then the cubical
coefficient of expansion is
(a) 462 × 10
–7
(b) 244 × 10
–7
(c) 475 × 10
–7
(d) 257 × 10
–7
23. A solid cylinder and a hollow cylinder both of
the same mass and same external diameter are
released from the same height at the same time
on an inclined plane. Both roll down without
slipping. Which one will reach the bottom first?
(a) Solid cylinder
(b) Both together
(c) One with higher density
(d) Hollow cylinder
24. A whistle of frequency 1000 Hz is sounded on a
car travelling towards a cliff with velocity of 18
m s
–1
 normal to the cliff. If c = 330 m s
–1
, then
the apparent frequency of the echo as heard by
the car driver is nearly
(a) 1115 H z (b) 115 H z
(c) 67 Hz (d) 47.2 H z
25. A thin sheet of glass (m = 1.5) of thickness 6 micron
introduced in the path of one of the interfering
beams in a double slit experiment shifts the central
fringe to a position previously occupied by fifth
bright fringe. Then the wavelength of light used is
(a) 6000 Å (b) 3000 Å
(c) 4500 Å (d) 7500 Å
26. M.I of a circular loop of radius R about the axis
in figure is
Axis of rotation
O
R/2
x
y
(a) MR
2
(b) (3/4) MR
2
(c) MR
2
/2 (d) 2MR
2
27. Three charge q, Q and 4q are placed in a straight
line of length l at points distant 0, 
1
2
 and l
respectively from one end. In order to make the
net froce on q zero, the charge Q must be equal to
(a) –q (b) – 2q (c)
q
2
-
(d) q
28. In series combination of R, L and C with an A.C.
source at resonance, if R = 20 ohm, then
impedence Z of the combination is
(a) 20 ohm (b) zero
(c) 10 ohm (d) 400 ohm
29. An electron moves in a circular arc of radius 10
m at a contant speed of 2 × 10
7
 ms
–1
 with its
plane of motion normal to a magnetic flux density
of 10
–5
 T. What will be the value of specific
charge of the electron?
(a) 2 × 10
4
 C kg
–1
(b) 2 × 10
5
 C kg
–1
(c) 5 × 10
6
 C kg
–1
(d) 2 × 10
11
 C kg
–1
30. From a 200 m high tower, one ball is thrown
upwards with speed of 10 
1
s m
-
 and another is
thrown vertically downwards at the same speeds
simultaneously. The time difference of their
reaching the ground will be nearest to
(a) 12 s (b) 6 s (c) 2 s (d) 1 s
31. A wheel is rotating at 900 r.p.m. about its axis.
When power is cut off it comes to rest in 1 minute.
The angular retardation in rad/s
2
 is
(a) p /2 (b) p /4 (c) p /6 (d) p /8
32. A particle executing simple harmonic motion
along y-axis has its motion described by the
equation sin() y A tB w =+ . The amplitude of
the simple harmonic motion is
(a)A (b) B
(c) A + B (d) AB +
33. A conducting square loop of side L and
resistance R moves in its plane with a uniform
velocity v perpendicular to one of its side. A
magnetic induction B constant in time and space,
pointing perpendicular and into the plane of the
loop exists everywhere.
x     x     x 
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x x
x
x
x
x
x
x
x
x
x
x
x
B v
The current induced in the loop is
(a)
Bv
clockwise
R
l
(b)
Bv
anticlockwise
R
l
(c)
2B
anticlockwise
R
v l
(d) zero
34. A body of mass 2  kg is placed on a horizontal
surface having kinetic friction 0.4 and static
friction 0.5. If the force applied on the body is
2.5 N, then the frictional force acting on the body
will be [g = 10 ms
–2
]
(a) 8 N (b) 10  N
(c) 20 N (d) 2.5 N
35. A nucleus splits into two nuclear parts which
have their velocity ratio equal to 2 : 1. What will
be the ratio of their nuclear radius?
(a)2
1/3
 : 1 (b)   1 : 2
1/3
(c)3
1/2
 : 1 (d)   1 : 3
1/2
36. A charge +q is at a distance L/2 above a square
of side L. Then what is the flux linked with the
surface?
(a)
0
q
4e
(b)
0
2q
3e
(c)
0
q
6e
(d)
0
6q
e
37. A plane electromagnetic wave is incident on a
plane surface of area A, normally and is perfectly
reflected. If energy E strikes the surface in time t
then average pressure exerted on the surface is
(c = speed of light)
(a) zero (b) E/Atc
(c) 2E/Atc (d) E/c
38. There are tw o wire of same material and same length
while the diameter of second wire is two times the
diameter of first wire, then the ratio of extension
produced in the wires by applying same load will be
(a) 1 : 1 (b) 2 : 1 (c) 1 : 2 (d) 4 : 1
39. Determine the current in W 2 resistor.
W 2
W 3
W 1
6V
2.8 W
(a) 1 A (b) 1.5 A (c) 0.9 A ( d ) 0.6 A
40. The potential energy of a satellite of mass m and
revolving at a height R
e
 above the surface of
earth where R
e
 = radius of earth, is
(a) – m g R
e
(b)
2
R g m
e
-
(c)
3
R g m
e
-
(d)
4
R g m
e
-
PART - II : CHEMISTRY
41. If 0.2 gram of an organic compound containing
carbon, hydrogen and oxygen on combustion,
yielded 0.147 gram carbon dioxide and 0.12 gram
water. What will be the content of oxygen in the
substance ?
(a) 73.29% (b) 78.45%
(c) 83.23% (d) 89.50%
42. The Lassaigne’s extract is boiled with dil. HNO
3
before testing for halogens because
(a) silver halides are soluble in HNO
3
(b) Na
2
S and NaCN are decomposed by HNO
3
(c) Ag
2
S is soluble in HNO
3
(d) AgCN is soluble in HNO
3
43. What is X in the following conversion ?
OH CH
2
 
¾® ¾
X
 
H C
||
O
-
(a)K
2
Cr
2
O
7
, H
2
SO
4
/H
2
O
(b) HIO
4
(c) PCC/CH
2
Cl
2
(d)   OsO
4
, (CH
3
)
3
C.COOH, (CH
3
)
3
COH, OH
–
44. Maleic acid and fumaric acids are
(a) Chain isomers
(b) Functional isomers
(c) Tautomers
(d) Geometrical isomers
45. For which one of the processes represented by
the following equations the enthalpy (heat)
change is likely to be negative
(a) Cl (g) aq Cl (aq)
--
+®
(b) Cl(g) Cl (g) e
+-
®+
(c)
2
1/ 2Cl (g) Cl(g) ®
(d)
22
Cl (l) Cl (g) ®
46. A cyclic process ABCD is shown in P–V diagram
for an ideal gas. Which of the following diagram
represents the same process?
A
B
P
V
C
D
(a)
A B
C
D
V
T
(b)
A
B
C
D
V
T
(c)
A
B
C D
V
T
(d)
A
B
C
D
V
T
47. In a monoclinic unit cell, the relation of sides
and angles are respectively:
(a) a = b ¹ c and a = b = g = 90°
(b) a ¹ b ¹ c and a = b = g = 90°
(c) a ¹ b ¹ c and b = g = 90° ¹ a
(d) a ¹ b ¹ c and a ¹ b ¹ g ¹ 90°
48. Phosphine is not obtained by which of the
following reaction?
(a) White P is heated with NaOH.
(b) Red P is heated with NaOH.
(c) Ca
3
P
2
 reacts with water.
(d) Both  (a) and (c).
49. An ideal gaseous mixture of ethane (C
2
H
6
) and
ethene (C
2
H
4
) occupies 28 litre at 1 atm and
273 K. The mixture reacts completely with 128 g
O
2
 to produce CO
2
 and H
2
O. Mole fraction at
C
2
H
6
 in the mixture is:
(a) 0.6 (b) 0.4 (c) 0.5 (d) 0.8
50. What is the maximum wavelength line in the
Lyman series of He
+
 ion?
( a) 3R (b)
1
3R
(c)
1
R
(d) None of these
51. The correct order of acidic strength :
(a) Cl
2
O
7
 > SO
2
 > P
4
O
10
(b) K
2
O > CaO > MgO
(c) CO
2
 > N
2
O
5
 > SO
3
(d) Na
2
O > MgO > Al
2
O
3
52. In the reaction 
5 46
2PCl PCl PCl
+-
+ ? , the
change in hybridisation is from
(a) sp
3
d to sp
3
 and sp
3
d
2
(b) sp
3
d to sp
2
 and sp
3
(c) sp
3
d to sp
3
d
2
 and sp
3
d
3
(d) sp
3
d
2
 to sp
3
 and sp
3
d
53. Arrange the following ions in the order of
decreasing X – O bond length, where X is the
central atom
(a)
23
4 4 44
ClO ,SO , PO ,SiO
- - --
(b)
4 32
4 4 44
SiO , PO ,SO , ClO
-- --
(c)
432
4 4 44
SiO , PO ,ClO ,SO
--- -
(d)
423
4 4 44
SiO ,SO , PO , ClO
-- --
54. Two vessels of volumes 16.4 L and 5 L contain
two ideal gases of molecular existence at the
respective temperature of 27 °C and 227 °C and
exert 1.5 and 4.1 atmospheres respectively . The
ratio of the number of molecules of the former to
that of the later is
(a)2 (b) 1 (c)
1
2
(d)
1
3
55. For the combustion reaction at 298 K
22
2Ag(s) 1 / 2O (g) 2Ag O(s) + ¾¾®
Which of the following alternatives is correct?
(a) DH = DU
(b) DH > DU
(c) DH < DU
(d) DH and DU has no relation with each other
56. The ratio 
p
c
K
K
 for the reaction
22
1
CO( ) O () CO ()
2
+
???
? ??
g gg is:
(a)
1
RT
(b)
1/2
() RT
(c ) RT (d) 1
57. A solution of Cl NH
4
 and 
3
NH has pH = 8.0.
Which of the following hydroxides may be
precipitated when this solution is mixed with
equal volume of 0.2 M of metal ion.
(a)
4
2 sp
Ba(OH) (K 1.1 10 )
-
=´
(b)
4
2 sp
Mg(OH)(K 3.5 10)
-
=´
(c) ) 10 1 . 8 K ( ) OH ( Fe
16
sp 2
-
´ =
(d) ). 10 1 . 2 K ( ) OH ( Ca
5
sp 2
-
´ =
58. Which of the following is not a
disproportionation reaction?
(a)
4 2 23
P 5OH H PO PH
--
+ ¾¾®+
(b)
2
Cl OH Cl ClO
-
--
+ ¾¾®+
(c)
22 22
2HO 2HOO ¾¾®+
(d)
2 2 22
PbO H O PbO H O + ¾¾®+
59. The amount of H
2
O
2
 present in 1 litre of 1.5 N H
2
O
2
solution, is :
(a) 25.5 g (b) 3.0 g (c) 8.0 g (d) 2.5 g
60. BeF
2
 is soluble in water whereas fluorides of other
alkaline earth metals are insoluble because of
(a) ionic nature of BeF
2
.
(b) covalent nature of BeF
2
.
(c) greater hydration energy of Be
2+
 ion as
compared to its lattice energy .
(d) none of these.
61. Identify the incorrect statement :
(a) In (Si
3
O
9
)
6–
, tetrahedral SiO
4
 units share
two oxygen atoms.
(b) Trialkylchlorosilane on hydrolysis gives
R
3
SiOH.
(c) SiCl
4
 undergoes hydrolysis to give H
4
SiO
4
.
(d) (Si
3
O
9
)
6–
 has cyclic structure.