Page 1
AIIMS 2 017
107. The potential difference that must be applied to
stop the fastest photoelectrons emitted by a
nickel surface, having work function 5.01 eV,
when ultraviolet light of 200 nm falls on it, must
be
(a) 2.4 V (b) – 1.2 V
(c) – 2.4 V (d) 1.2 V
53. Hail storms are observed to strike the surface of
the frozen lake at 30
0
with the vertical and
rebound at 60
0
with the vertical. Assume contact
to be smooth, the coefficient of restitution is
(a)
1
e
3
(b)
1
e
3
? (c) e 3 ? (d) e = 3
146. In a npn transistor 10
10
electrons enter the emitter
in 10
–6
s. 4% of the electrons are lost in the base.
The current transfer ratio will be
(a) 0.98 (b) 0.97
(c) 0.96 (d) 0.94
122. Each of the resistance in the network shown in
fig. is equal to R. The resistance between the
terminals A and B is
R
R
R R
R
L
K
A
B
M
(a)R (b) 5 R
(c) 3 R (d) 6 R
62. The wheel of a car is rotating at the rate of 1200
revolutions per minute. On pressing the
accelerator for 10 seconds it starts rotating at
4500 revolutions per minute. The angular
acceleration of the wheel is
(a) 30 radian / second
2
(b) 1880 degrees/ second
2
55. An organ pipe open at one end is vibrating in
first overtone and is in resonance with another
pipe open at both ends and vibrating in third
harmonic. The ratio of length of two pipes is
(a) 1 : 2 (b) 4 : 1
(c) 8 : 3 (d) 3 : 8
5. The normal density of gold is ? and its bulk
modulus is K. The increase in density of a lump
of gold when a pressure P is applied uniformly
on all sides is
(a) K/ ? P (b) P/ ? K
(c) ? P/K (d) ? K/P
102. Magnetic flux ? in weber in a closed circuit of
resistance 10 ? varies with time ? (sec) as f = 6t
2
– 5t + 1. The magnitude of induced current at t =
0.25s is
(a) 0.2 A (b) 0.6 A
(c) 1.2 A (d) 0.8 A
4. Which of the following displacement (X) time
graphs is not possible?
(a)
x
t
O
(b)
x
t
O
(c)
x
t
O
(d)
X
t
O
39. The binding energy per nucleon for
2
1
H and
4
2
He respectively are 1.1 MeV and 7.1 MeV . The
energy released in MeV when two
2
1
H nuclei
fuse to form
4
2
He is
(a) 4.4 (b) 8.2
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Page 2
AIIMS 2 017
107. The potential difference that must be applied to
stop the fastest photoelectrons emitted by a
nickel surface, having work function 5.01 eV,
when ultraviolet light of 200 nm falls on it, must
be
(a) 2.4 V (b) – 1.2 V
(c) – 2.4 V (d) 1.2 V
53. Hail storms are observed to strike the surface of
the frozen lake at 30
0
with the vertical and
rebound at 60
0
with the vertical. Assume contact
to be smooth, the coefficient of restitution is
(a)
1
e
3
(b)
1
e
3
? (c) e 3 ? (d) e = 3
146. In a npn transistor 10
10
electrons enter the emitter
in 10
–6
s. 4% of the electrons are lost in the base.
The current transfer ratio will be
(a) 0.98 (b) 0.97
(c) 0.96 (d) 0.94
122. Each of the resistance in the network shown in
fig. is equal to R. The resistance between the
terminals A and B is
R
R
R R
R
L
K
A
B
M
(a)R (b) 5 R
(c) 3 R (d) 6 R
62. The wheel of a car is rotating at the rate of 1200
revolutions per minute. On pressing the
accelerator for 10 seconds it starts rotating at
4500 revolutions per minute. The angular
acceleration of the wheel is
(a) 30 radian / second
2
(b) 1880 degrees/ second
2
55. An organ pipe open at one end is vibrating in
first overtone and is in resonance with another
pipe open at both ends and vibrating in third
harmonic. The ratio of length of two pipes is
(a) 1 : 2 (b) 4 : 1
(c) 8 : 3 (d) 3 : 8
5. The normal density of gold is ? and its bulk
modulus is K. The increase in density of a lump
of gold when a pressure P is applied uniformly
on all sides is
(a) K/ ? P (b) P/ ? K
(c) ? P/K (d) ? K/P
102. Magnetic flux ? in weber in a closed circuit of
resistance 10 ? varies with time ? (sec) as f = 6t
2
– 5t + 1. The magnitude of induced current at t =
0.25s is
(a) 0.2 A (b) 0.6 A
(c) 1.2 A (d) 0.8 A
4. Which of the following displacement (X) time
graphs is not possible?
(a)
x
t
O
(b)
x
t
O
(c)
x
t
O
(d)
X
t
O
39. The binding energy per nucleon for
2
1
H and
4
2
He respectively are 1.1 MeV and 7.1 MeV . The
energy released in MeV when two
2
1
H nuclei
fuse to form
4
2
He is
(a) 4.4 (b) 8.2
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119. If a charge q is placed at the centre of the line
joining two equal charges Q such that the system
is in equilibrium then the value of q is
(a) Q/2 (b) –Q/2
(c) Q/4 (d) –Q/4
35. The potential energy of a particle varies with
distance x from a fixed origin as
B x
x A
V
? where
A and B are constants. The dimensions of AB are
(a)
15/22
[ML T]
? (b)
122
[MLT ]
? (c)
3/25/22
[M L T]
? (d)
17/22
[ML T ]
? 83. A light ray falls on a rectangular glass slab as
shown. The index of refraction of the glass, if
total internal reflection is to occur at the vertical
face, is
(a)
2 / 3
Glass
45º
(b)
? ? 2
1 3 ? (c)
? ? 2
1 2 ? (d) 2 / 5
77. A bucket tied at the end of a 1.6 m long string is
whirled in a vertical circle with constant speed.
What should be the minimum speed so that the
water from the bucket does not spill when the
bucket is at the highest position?
(a) 4 m/sec
(b) 6.25 m/sec
(c) 16 m/sec
(d) None of the above
74. Which of the following figure shows the correct
equipotential surfaces of a system of two positive
charges?
(a)
+ +
(b)
+ +
(c)
+ +
(d)
+ +
58. A point particle of mass 0.1 kg is executing S.H.M.
of amplitude of 0.1 m. When the particle passes
through the mean position, its kinetic energy is 8 ×
10
–3
Joule. Obtain the equation of motion of this
particle if this initial phase of oscillation is 45º.
(a)
y 0.1sin 4t
4
? ? ? ? ? ? ? ? ? ? (b)
y 0.2sin 4t
4
? ? ? ? ? ? ? ? ? ? (c)
y 0.1sin 2t
4
? ? ? ? ? ? ? ? ? ? (d)
y 0.2sin 2t
4
? ? ? ? ? ? ? ? ? ? 99. The following configuration of gate is
equivalent to
OR
NAND
AND
Y
A
B
(a) NAND gate (b) XOR gate
(c) OR gate (d) NOR gate
18. Two long parallel wires P and Q are held
perpendicular to the plane of paper with distance
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Page 3
AIIMS 2 017
107. The potential difference that must be applied to
stop the fastest photoelectrons emitted by a
nickel surface, having work function 5.01 eV,
when ultraviolet light of 200 nm falls on it, must
be
(a) 2.4 V (b) – 1.2 V
(c) – 2.4 V (d) 1.2 V
53. Hail storms are observed to strike the surface of
the frozen lake at 30
0
with the vertical and
rebound at 60
0
with the vertical. Assume contact
to be smooth, the coefficient of restitution is
(a)
1
e
3
(b)
1
e
3
? (c) e 3 ? (d) e = 3
146. In a npn transistor 10
10
electrons enter the emitter
in 10
–6
s. 4% of the electrons are lost in the base.
The current transfer ratio will be
(a) 0.98 (b) 0.97
(c) 0.96 (d) 0.94
122. Each of the resistance in the network shown in
fig. is equal to R. The resistance between the
terminals A and B is
R
R
R R
R
L
K
A
B
M
(a)R (b) 5 R
(c) 3 R (d) 6 R
62. The wheel of a car is rotating at the rate of 1200
revolutions per minute. On pressing the
accelerator for 10 seconds it starts rotating at
4500 revolutions per minute. The angular
acceleration of the wheel is
(a) 30 radian / second
2
(b) 1880 degrees/ second
2
55. An organ pipe open at one end is vibrating in
first overtone and is in resonance with another
pipe open at both ends and vibrating in third
harmonic. The ratio of length of two pipes is
(a) 1 : 2 (b) 4 : 1
(c) 8 : 3 (d) 3 : 8
5. The normal density of gold is ? and its bulk
modulus is K. The increase in density of a lump
of gold when a pressure P is applied uniformly
on all sides is
(a) K/ ? P (b) P/ ? K
(c) ? P/K (d) ? K/P
102. Magnetic flux ? in weber in a closed circuit of
resistance 10 ? varies with time ? (sec) as f = 6t
2
– 5t + 1. The magnitude of induced current at t =
0.25s is
(a) 0.2 A (b) 0.6 A
(c) 1.2 A (d) 0.8 A
4. Which of the following displacement (X) time
graphs is not possible?
(a)
x
t
O
(b)
x
t
O
(c)
x
t
O
(d)
X
t
O
39. The binding energy per nucleon for
2
1
H and
4
2
He respectively are 1.1 MeV and 7.1 MeV . The
energy released in MeV when two
2
1
H nuclei
fuse to form
4
2
He is
(a) 4.4 (b) 8.2
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119. If a charge q is placed at the centre of the line
joining two equal charges Q such that the system
is in equilibrium then the value of q is
(a) Q/2 (b) –Q/2
(c) Q/4 (d) –Q/4
35. The potential energy of a particle varies with
distance x from a fixed origin as
B x
x A
V
? where
A and B are constants. The dimensions of AB are
(a)
15/22
[ML T]
? (b)
122
[MLT ]
? (c)
3/25/22
[M L T]
? (d)
17/22
[ML T ]
? 83. A light ray falls on a rectangular glass slab as
shown. The index of refraction of the glass, if
total internal reflection is to occur at the vertical
face, is
(a)
2 / 3
Glass
45º
(b)
? ? 2
1 3 ? (c)
? ? 2
1 2 ? (d) 2 / 5
77. A bucket tied at the end of a 1.6 m long string is
whirled in a vertical circle with constant speed.
What should be the minimum speed so that the
water from the bucket does not spill when the
bucket is at the highest position?
(a) 4 m/sec
(b) 6.25 m/sec
(c) 16 m/sec
(d) None of the above
74. Which of the following figure shows the correct
equipotential surfaces of a system of two positive
charges?
(a)
+ +
(b)
+ +
(c)
+ +
(d)
+ +
58. A point particle of mass 0.1 kg is executing S.H.M.
of amplitude of 0.1 m. When the particle passes
through the mean position, its kinetic energy is 8 ×
10
–3
Joule. Obtain the equation of motion of this
particle if this initial phase of oscillation is 45º.
(a)
y 0.1sin 4t
4
? ? ? ? ? ? ? ? ? ? (b)
y 0.2sin 4t
4
? ? ? ? ? ? ? ? ? ? (c)
y 0.1sin 2t
4
? ? ? ? ? ? ? ? ? ? (d)
y 0.2sin 2t
4
? ? ? ? ? ? ? ? ? ? 99. The following configuration of gate is
equivalent to
OR
NAND
AND
Y
A
B
(a) NAND gate (b) XOR gate
(c) OR gate (d) NOR gate
18. Two long parallel wires P and Q are held
perpendicular to the plane of paper with distance
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direction, then the magnetic field at a point half-
way between the wires is
(a)
0
/ 17 (b)
0
/ ? ? 32
(c)
0
/ ? ?2 (d)
0
/ ? ? 32
70. A small block of mass m is kept on a rough
inclined surface of inclination ? fixed in an
elevator. The elevator goes up with a uniform
velocity v and the block does not slide on the
wedge. The work done by the force of friction
on the block in time t as seen by the observer on
the inclined p lane will be
(a) zero (b) mgvt cos
2
? (c) mgvt sin
2
? (d) mgvt sin 2 ? 123. A beam of light of wavelength 600 nm from a
distance source falls on a single slit 1 mm wide
and a resulting diffraction pattern is observed
on a screen 2m away . The distance between the
first dark fringes on either side of central bright
fringe is
(a) 1.2 cm (b) 1 . 2 m m
(c) 2.4 c m (d) 2 . 4 m m
51. Figure here shows the vertical cross section of
a vessel filled with a liquid of density ? . The
normal thrust per unit area on the walls of the
vessel at the point P, as shown, will be
? h
P
H
(a)h ?g
(b) H ? g
(c) (H – h) ? g
(d) (H – h) ? g cos ? 47. If in the experiment of Wheatstone’s bridge, the
positions of cells and galvanometer are
interchanged, then balance point will
(a) change
(b) remain unchanged
(c) depend on the internal resistance of cell and
resistance of galvanometer
(d) None of these
114. In the equation X = 3YZ
2
, X and Z are
dimensions of capacitance and magnetic
induction respectively. In MKSQ system, the
dimensional formula for Y is
(a) [M
–3
L
–2
T
–2
Q
–4
]
(b) [M L
–2
]
(c) [M
–3
L
–2
Q
4
T
8
]
(d) [M
–3
L
–2
Q
4
T
4
]
66. Half lives for ? and ? emission of a radioactive
material are 16 years and 48 years respectively.
When material decays giving ? and ? emission
simultaneously, time in which 3/4
th
material
decays is
(a) 29 years (b) 24 years
(c) 64 years (d) 12 years
41. If a magnet is suspended at angle 30º to the
magnetic meridian, the dip needle makes an angle
of 45º with the horizontal. The real dip is
(a) ) 2 / 3 ( tan
1 ? (b) ) 3 ( tan
1 ? (c) ) 2 / 3 ( tan
1 ? (d) ) 3 / 2 ( tan
1 ? 50. Gauss’s law states that
(a) the total electric flux through a closed surface
is
0
1
? times the total charge placed near the
closed surface.
(b) the total electric flux through a closed surface
is
0
1
? times the total charge enclosed by the
closed surface.
(c) the total electric flux through an open surface
is
0
1
? times the total charge placed near the
open surface.
(d) the line integral of electric field around the
boundary of an open surface is
0
1
? times the
total charge placed near the open surface.
18. A current carrying coil is subjected to a uniform
magnetic field. The coil will orient so that its plane
becomes
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Page 4
AIIMS 2 017
107. The potential difference that must be applied to
stop the fastest photoelectrons emitted by a
nickel surface, having work function 5.01 eV,
when ultraviolet light of 200 nm falls on it, must
be
(a) 2.4 V (b) – 1.2 V
(c) – 2.4 V (d) 1.2 V
53. Hail storms are observed to strike the surface of
the frozen lake at 30
0
with the vertical and
rebound at 60
0
with the vertical. Assume contact
to be smooth, the coefficient of restitution is
(a)
1
e
3
(b)
1
e
3
? (c) e 3 ? (d) e = 3
146. In a npn transistor 10
10
electrons enter the emitter
in 10
–6
s. 4% of the electrons are lost in the base.
The current transfer ratio will be
(a) 0.98 (b) 0.97
(c) 0.96 (d) 0.94
122. Each of the resistance in the network shown in
fig. is equal to R. The resistance between the
terminals A and B is
R
R
R R
R
L
K
A
B
M
(a)R (b) 5 R
(c) 3 R (d) 6 R
62. The wheel of a car is rotating at the rate of 1200
revolutions per minute. On pressing the
accelerator for 10 seconds it starts rotating at
4500 revolutions per minute. The angular
acceleration of the wheel is
(a) 30 radian / second
2
(b) 1880 degrees/ second
2
55. An organ pipe open at one end is vibrating in
first overtone and is in resonance with another
pipe open at both ends and vibrating in third
harmonic. The ratio of length of two pipes is
(a) 1 : 2 (b) 4 : 1
(c) 8 : 3 (d) 3 : 8
5. The normal density of gold is ? and its bulk
modulus is K. The increase in density of a lump
of gold when a pressure P is applied uniformly
on all sides is
(a) K/ ? P (b) P/ ? K
(c) ? P/K (d) ? K/P
102. Magnetic flux ? in weber in a closed circuit of
resistance 10 ? varies with time ? (sec) as f = 6t
2
– 5t + 1. The magnitude of induced current at t =
0.25s is
(a) 0.2 A (b) 0.6 A
(c) 1.2 A (d) 0.8 A
4. Which of the following displacement (X) time
graphs is not possible?
(a)
x
t
O
(b)
x
t
O
(c)
x
t
O
(d)
X
t
O
39. The binding energy per nucleon for
2
1
H and
4
2
He respectively are 1.1 MeV and 7.1 MeV . The
energy released in MeV when two
2
1
H nuclei
fuse to form
4
2
He is
(a) 4.4 (b) 8.2
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119. If a charge q is placed at the centre of the line
joining two equal charges Q such that the system
is in equilibrium then the value of q is
(a) Q/2 (b) –Q/2
(c) Q/4 (d) –Q/4
35. The potential energy of a particle varies with
distance x from a fixed origin as
B x
x A
V
? where
A and B are constants. The dimensions of AB are
(a)
15/22
[ML T]
? (b)
122
[MLT ]
? (c)
3/25/22
[M L T]
? (d)
17/22
[ML T ]
? 83. A light ray falls on a rectangular glass slab as
shown. The index of refraction of the glass, if
total internal reflection is to occur at the vertical
face, is
(a)
2 / 3
Glass
45º
(b)
? ? 2
1 3 ? (c)
? ? 2
1 2 ? (d) 2 / 5
77. A bucket tied at the end of a 1.6 m long string is
whirled in a vertical circle with constant speed.
What should be the minimum speed so that the
water from the bucket does not spill when the
bucket is at the highest position?
(a) 4 m/sec
(b) 6.25 m/sec
(c) 16 m/sec
(d) None of the above
74. Which of the following figure shows the correct
equipotential surfaces of a system of two positive
charges?
(a)
+ +
(b)
+ +
(c)
+ +
(d)
+ +
58. A point particle of mass 0.1 kg is executing S.H.M.
of amplitude of 0.1 m. When the particle passes
through the mean position, its kinetic energy is 8 ×
10
–3
Joule. Obtain the equation of motion of this
particle if this initial phase of oscillation is 45º.
(a)
y 0.1sin 4t
4
? ? ? ? ? ? ? ? ? ? (b)
y 0.2sin 4t
4
? ? ? ? ? ? ? ? ? ? (c)
y 0.1sin 2t
4
? ? ? ? ? ? ? ? ? ? (d)
y 0.2sin 2t
4
? ? ? ? ? ? ? ? ? ? 99. The following configuration of gate is
equivalent to
OR
NAND
AND
Y
A
B
(a) NAND gate (b) XOR gate
(c) OR gate (d) NOR gate
18. Two long parallel wires P and Q are held
perpendicular to the plane of paper with distance
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direction, then the magnetic field at a point half-
way between the wires is
(a)
0
/ 17 (b)
0
/ ? ? 32
(c)
0
/ ? ?2 (d)
0
/ ? ? 32
70. A small block of mass m is kept on a rough
inclined surface of inclination ? fixed in an
elevator. The elevator goes up with a uniform
velocity v and the block does not slide on the
wedge. The work done by the force of friction
on the block in time t as seen by the observer on
the inclined p lane will be
(a) zero (b) mgvt cos
2
? (c) mgvt sin
2
? (d) mgvt sin 2 ? 123. A beam of light of wavelength 600 nm from a
distance source falls on a single slit 1 mm wide
and a resulting diffraction pattern is observed
on a screen 2m away . The distance between the
first dark fringes on either side of central bright
fringe is
(a) 1.2 cm (b) 1 . 2 m m
(c) 2.4 c m (d) 2 . 4 m m
51. Figure here shows the vertical cross section of
a vessel filled with a liquid of density ? . The
normal thrust per unit area on the walls of the
vessel at the point P, as shown, will be
? h
P
H
(a)h ?g
(b) H ? g
(c) (H – h) ? g
(d) (H – h) ? g cos ? 47. If in the experiment of Wheatstone’s bridge, the
positions of cells and galvanometer are
interchanged, then balance point will
(a) change
(b) remain unchanged
(c) depend on the internal resistance of cell and
resistance of galvanometer
(d) None of these
114. In the equation X = 3YZ
2
, X and Z are
dimensions of capacitance and magnetic
induction respectively. In MKSQ system, the
dimensional formula for Y is
(a) [M
–3
L
–2
T
–2
Q
–4
]
(b) [M L
–2
]
(c) [M
–3
L
–2
Q
4
T
8
]
(d) [M
–3
L
–2
Q
4
T
4
]
66. Half lives for ? and ? emission of a radioactive
material are 16 years and 48 years respectively.
When material decays giving ? and ? emission
simultaneously, time in which 3/4
th
material
decays is
(a) 29 years (b) 24 years
(c) 64 years (d) 12 years
41. If a magnet is suspended at angle 30º to the
magnetic meridian, the dip needle makes an angle
of 45º with the horizontal. The real dip is
(a) ) 2 / 3 ( tan
1 ? (b) ) 3 ( tan
1 ? (c) ) 2 / 3 ( tan
1 ? (d) ) 3 / 2 ( tan
1 ? 50. Gauss’s law states that
(a) the total electric flux through a closed surface
is
0
1
? times the total charge placed near the
closed surface.
(b) the total electric flux through a closed surface
is
0
1
? times the total charge enclosed by the
closed surface.
(c) the total electric flux through an open surface
is
0
1
? times the total charge placed near the
open surface.
(d) the line integral of electric field around the
boundary of an open surface is
0
1
? times the
total charge placed near the open surface.
18. A current carrying coil is subjected to a uniform
magnetic field. The coil will orient so that its plane
becomes
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(b) inclined at any arbitrary angle to the
magnetic field
(c) parallel to the magnetic field
(d) perpendicular to magnetic field
33. Radio waves and visible light in vacuum have
(a) same velocity but different wavelength
(b) continuous emission spectrum
(c) band absorption spectrum
(d) line emission spectrum
28. The work done in which of the following
processes is equal to the internal energy of the
system?
(a) Adiabatic process
(b) Isothermal process
(c) Isochoric process
(d) None of these
90. Block A of weight 100 kg rests on a block B and
is tied with horizontal string to the wall at C.
Block B is of 200 kg. The coefficient of friction
between A and B is 0.25 and that between B and
surface is
1
3
. The horizontal force F necessary
to move the block B should be (g = 10 m/s
2
)
(a) 1050 N
A
C
B
F
(b) 1450 N
(c) 1050 N
(d) 1250 N
129. In an A.C. circuit, the current flowing in
inductance is I = 5 sin (100 t – /2) amperes and
the potential difference is V = 200 sin (100 t) volts.
The power consumption is equal to
(a) 1000 watt (b) 40 watt
(c) 20 watt (d) Zero
1. Figure shows the electric lines of force emerging
from a charged body . If the electric field at A and
B are E
A
and E
B
respectively and if the
displacement between A and B is r, then
r B A
(a)E
A
> E
B
(b) E
A
< E
B
()E E / (d) E E /
2
65. The temperature of the two outer surfaces of a
composite slab consisting of two materials
having coefficient of thermal conductivity K and
2K and thickne s s x and 4x respectively are T
2
and T
1
(T
2
> T
1
). The rate of heat transfer
through the slab, in a steady state is
21
A(T T )K
f
x
? ? ? ? ? ? ? with f equal to
x 4x
2K
K
T
2
T
1
(a)1 (b) 1/2
(c) 2/3 (d) 1/3
37. The ratio of the longest to shortest wavelengths
in Brackett series of hydrogen spectra is
(a)
25
9
(b)
17
6
(c)
9
5
(d)
4
3
41. Curie temperature is the temperature above which
(a) a ferromagnetic material becomes
paramagenetic
(b) a paramagnetic material becomes
diamagnetic
(c) a ferromagnetic material becomes
diamagnetic
(d) a paramagnetic meterial becomes
ferromagnetic
54. Five masses are placed in a plane as shown in
figure. The coordinates of the centre of mass are
nearest to
y
2
3 kg
5 kg
2 kg 1 kg
4 kg
1
0
0
2
x
1
(a) 1.2, 1.4 (b) 1.3, 1.1
(c) 1.1, 1.3 (d) 1.0, 1.0
29. Two spherical conductors A and B of radii a and
b (b>a) are placed concentrically in air. The two
t d b i h i
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Page 5
AIIMS 2 017
107. The potential difference that must be applied to
stop the fastest photoelectrons emitted by a
nickel surface, having work function 5.01 eV,
when ultraviolet light of 200 nm falls on it, must
be
(a) 2.4 V (b) – 1.2 V
(c) – 2.4 V (d) 1.2 V
53. Hail storms are observed to strike the surface of
the frozen lake at 30
0
with the vertical and
rebound at 60
0
with the vertical. Assume contact
to be smooth, the coefficient of restitution is
(a)
1
e
3
(b)
1
e
3
? (c) e 3 ? (d) e = 3
146. In a npn transistor 10
10
electrons enter the emitter
in 10
–6
s. 4% of the electrons are lost in the base.
The current transfer ratio will be
(a) 0.98 (b) 0.97
(c) 0.96 (d) 0.94
122. Each of the resistance in the network shown in
fig. is equal to R. The resistance between the
terminals A and B is
R
R
R R
R
L
K
A
B
M
(a)R (b) 5 R
(c) 3 R (d) 6 R
62. The wheel of a car is rotating at the rate of 1200
revolutions per minute. On pressing the
accelerator for 10 seconds it starts rotating at
4500 revolutions per minute. The angular
acceleration of the wheel is
(a) 30 radian / second
2
(b) 1880 degrees/ second
2
55. An organ pipe open at one end is vibrating in
first overtone and is in resonance with another
pipe open at both ends and vibrating in third
harmonic. The ratio of length of two pipes is
(a) 1 : 2 (b) 4 : 1
(c) 8 : 3 (d) 3 : 8
5. The normal density of gold is ? and its bulk
modulus is K. The increase in density of a lump
of gold when a pressure P is applied uniformly
on all sides is
(a) K/ ? P (b) P/ ? K
(c) ? P/K (d) ? K/P
102. Magnetic flux ? in weber in a closed circuit of
resistance 10 ? varies with time ? (sec) as f = 6t
2
– 5t + 1. The magnitude of induced current at t =
0.25s is
(a) 0.2 A (b) 0.6 A
(c) 1.2 A (d) 0.8 A
4. Which of the following displacement (X) time
graphs is not possible?
(a)
x
t
O
(b)
x
t
O
(c)
x
t
O
(d)
X
t
O
39. The binding energy per nucleon for
2
1
H and
4
2
He respectively are 1.1 MeV and 7.1 MeV . The
energy released in MeV when two
2
1
H nuclei
fuse to form
4
2
He is
(a) 4.4 (b) 8.2
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119. If a charge q is placed at the centre of the line
joining two equal charges Q such that the system
is in equilibrium then the value of q is
(a) Q/2 (b) –Q/2
(c) Q/4 (d) –Q/4
35. The potential energy of a particle varies with
distance x from a fixed origin as
B x
x A
V
? where
A and B are constants. The dimensions of AB are
(a)
15/22
[ML T]
? (b)
122
[MLT ]
? (c)
3/25/22
[M L T]
? (d)
17/22
[ML T ]
? 83. A light ray falls on a rectangular glass slab as
shown. The index of refraction of the glass, if
total internal reflection is to occur at the vertical
face, is
(a)
2 / 3
Glass
45º
(b)
? ? 2
1 3 ? (c)
? ? 2
1 2 ? (d) 2 / 5
77. A bucket tied at the end of a 1.6 m long string is
whirled in a vertical circle with constant speed.
What should be the minimum speed so that the
water from the bucket does not spill when the
bucket is at the highest position?
(a) 4 m/sec
(b) 6.25 m/sec
(c) 16 m/sec
(d) None of the above
74. Which of the following figure shows the correct
equipotential surfaces of a system of two positive
charges?
(a)
+ +
(b)
+ +
(c)
+ +
(d)
+ +
58. A point particle of mass 0.1 kg is executing S.H.M.
of amplitude of 0.1 m. When the particle passes
through the mean position, its kinetic energy is 8 ×
10
–3
Joule. Obtain the equation of motion of this
particle if this initial phase of oscillation is 45º.
(a)
y 0.1sin 4t
4
? ? ? ? ? ? ? ? ? ? (b)
y 0.2sin 4t
4
? ? ? ? ? ? ? ? ? ? (c)
y 0.1sin 2t
4
? ? ? ? ? ? ? ? ? ? (d)
y 0.2sin 2t
4
? ? ? ? ? ? ? ? ? ? 99. The following configuration of gate is
equivalent to
OR
NAND
AND
Y
A
B
(a) NAND gate (b) XOR gate
(c) OR gate (d) NOR gate
18. Two long parallel wires P and Q are held
perpendicular to the plane of paper with distance
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direction, then the magnetic field at a point half-
way between the wires is
(a)
0
/ 17 (b)
0
/ ? ? 32
(c)
0
/ ? ?2 (d)
0
/ ? ? 32
70. A small block of mass m is kept on a rough
inclined surface of inclination ? fixed in an
elevator. The elevator goes up with a uniform
velocity v and the block does not slide on the
wedge. The work done by the force of friction
on the block in time t as seen by the observer on
the inclined p lane will be
(a) zero (b) mgvt cos
2
? (c) mgvt sin
2
? (d) mgvt sin 2 ? 123. A beam of light of wavelength 600 nm from a
distance source falls on a single slit 1 mm wide
and a resulting diffraction pattern is observed
on a screen 2m away . The distance between the
first dark fringes on either side of central bright
fringe is
(a) 1.2 cm (b) 1 . 2 m m
(c) 2.4 c m (d) 2 . 4 m m
51. Figure here shows the vertical cross section of
a vessel filled with a liquid of density ? . The
normal thrust per unit area on the walls of the
vessel at the point P, as shown, will be
? h
P
H
(a)h ?g
(b) H ? g
(c) (H – h) ? g
(d) (H – h) ? g cos ? 47. If in the experiment of Wheatstone’s bridge, the
positions of cells and galvanometer are
interchanged, then balance point will
(a) change
(b) remain unchanged
(c) depend on the internal resistance of cell and
resistance of galvanometer
(d) None of these
114. In the equation X = 3YZ
2
, X and Z are
dimensions of capacitance and magnetic
induction respectively. In MKSQ system, the
dimensional formula for Y is
(a) [M
–3
L
–2
T
–2
Q
–4
]
(b) [M L
–2
]
(c) [M
–3
L
–2
Q
4
T
8
]
(d) [M
–3
L
–2
Q
4
T
4
]
66. Half lives for ? and ? emission of a radioactive
material are 16 years and 48 years respectively.
When material decays giving ? and ? emission
simultaneously, time in which 3/4
th
material
decays is
(a) 29 years (b) 24 years
(c) 64 years (d) 12 years
41. If a magnet is suspended at angle 30º to the
magnetic meridian, the dip needle makes an angle
of 45º with the horizontal. The real dip is
(a) ) 2 / 3 ( tan
1 ? (b) ) 3 ( tan
1 ? (c) ) 2 / 3 ( tan
1 ? (d) ) 3 / 2 ( tan
1 ? 50. Gauss’s law states that
(a) the total electric flux through a closed surface
is
0
1
? times the total charge placed near the
closed surface.
(b) the total electric flux through a closed surface
is
0
1
? times the total charge enclosed by the
closed surface.
(c) the total electric flux through an open surface
is
0
1
? times the total charge placed near the
open surface.
(d) the line integral of electric field around the
boundary of an open surface is
0
1
? times the
total charge placed near the open surface.
18. A current carrying coil is subjected to a uniform
magnetic field. The coil will orient so that its plane
becomes
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(b) inclined at any arbitrary angle to the
magnetic field
(c) parallel to the magnetic field
(d) perpendicular to magnetic field
33. Radio waves and visible light in vacuum have
(a) same velocity but different wavelength
(b) continuous emission spectrum
(c) band absorption spectrum
(d) line emission spectrum
28. The work done in which of the following
processes is equal to the internal energy of the
system?
(a) Adiabatic process
(b) Isothermal process
(c) Isochoric process
(d) None of these
90. Block A of weight 100 kg rests on a block B and
is tied with horizontal string to the wall at C.
Block B is of 200 kg. The coefficient of friction
between A and B is 0.25 and that between B and
surface is
1
3
. The horizontal force F necessary
to move the block B should be (g = 10 m/s
2
)
(a) 1050 N
A
C
B
F
(b) 1450 N
(c) 1050 N
(d) 1250 N
129. In an A.C. circuit, the current flowing in
inductance is I = 5 sin (100 t – /2) amperes and
the potential difference is V = 200 sin (100 t) volts.
The power consumption is equal to
(a) 1000 watt (b) 40 watt
(c) 20 watt (d) Zero
1. Figure shows the electric lines of force emerging
from a charged body . If the electric field at A and
B are E
A
and E
B
respectively and if the
displacement between A and B is r, then
r B A
(a)E
A
> E
B
(b) E
A
< E
B
()E E / (d) E E /
2
65. The temperature of the two outer surfaces of a
composite slab consisting of two materials
having coefficient of thermal conductivity K and
2K and thickne s s x and 4x respectively are T
2
and T
1
(T
2
> T
1
). The rate of heat transfer
through the slab, in a steady state is
21
A(T T )K
f
x
? ? ? ? ? ? ? with f equal to
x 4x
2K
K
T
2
T
1
(a)1 (b) 1/2
(c) 2/3 (d) 1/3
37. The ratio of the longest to shortest wavelengths
in Brackett series of hydrogen spectra is
(a)
25
9
(b)
17
6
(c)
9
5
(d)
4
3
41. Curie temperature is the temperature above which
(a) a ferromagnetic material becomes
paramagenetic
(b) a paramagnetic material becomes
diamagnetic
(c) a ferromagnetic material becomes
diamagnetic
(d) a paramagnetic meterial becomes
ferromagnetic
54. Five masses are placed in a plane as shown in
figure. The coordinates of the centre of mass are
nearest to
y
2
3 kg
5 kg
2 kg 1 kg
4 kg
1
0
0
2
x
1
(a) 1.2, 1.4 (b) 1.3, 1.1
(c) 1.1, 1.3 (d) 1.0, 1.0
29. Two spherical conductors A and B of radii a and
b (b>a) are placed concentrically in air. The two
t d b i h i
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(a)
a b
ab
4
0
? ? (b) ) b a ( 4
0
? ? ? A
B
a
b
(c) b 4
0
? ? (d) a 4
0
? ? 30. The magnitude of the de-Broglie wavelength ( ? )
of electron (e), proton (p), neutron (n) and ? -
particle ( ? ) all having the same energy of 1 MeV ,
in the increasing order will follow the sequence
(a) ? e
, ? p
, ? n
, ? ? (b) ? e
, ? n
, ? p
, ? ? (c) ? ? , ? n
, ? p
, ? e
(d) ? p
, ? e
, ? ? , ? n
54. The molar heat capacities of a mixture of two gases
at constant volume is 13R/6. The ratio of number
of moles of the first gas to the second is 1 : 2. The
respective gases may be
(a)O
2
and N
2
(b) He and Ne
(c) He and N
2
(d) N
2
and He
39. By properly combining two prisms made of
different materials, it is not possible to have
(a) dispersion without average deviation
(b) deviation without dispersion
(c) both dispersion and average deviation
(d) neither dispersion nor average deviation
ASSERTION - REASON TYPE QUESTIONS
Directions : Each of these questions contains two
statements, Assertion and Reason. Each of these
questions also has four alternative choices, only one
of which is the correct answer. Y ou have to select one
of the codes (a), (b), (c) and (d) given below.
(a) Assertion is correct, reason is correct; reason is
a correct explanation for assertion.
(b) Assertion is correct, reason is correct; reason
is not a correct explanation for assertion
(c) Assertion is correct, reason is incorrect
(d) Assertion is incorrect, reason is correct.
96. Assertion : When a convex lens (µ
g
= 3/2) of
focal length f is dipped in water, its focal length
becomes
4
3
f
.
Reason : The focal length of convex lens in water
becomes 4f.
90. Assertion: The pressure of water reduces when
it flows from a narrow pipe to a wider pipe.
proportionately .
117. Assertion : Resonance is special case of forced
vibration in which the natural frequency of
vibration of the body is the same as the
impressed frequency of external periodic force
and the amplitude of forced vibration is maximum
Reason : The amplitude of forced vibrations of a
body increases with an increase in the frequency
of the externally impressed periodic force.
103. Assertion : Kirchoff’s juction rule can be
applied to a junction of several lines or a point
in a line.
Reason : When steady current is flowing,
there is no accumulation of charges at any
junction or at any point in a line.
102. Assertion : When a sphere is rolls on a horizontal
table it slows down and eventually stops.
Reason : When the sphere rolls on the table,
both the sphere and the surface deform near the
contact. As a result, the normal force does not
pass through the centre and provide an angular
declaration.
114. Assertion : When two semi conductor of p and
n type are brought in contact, they form p-n
junction which act like a rectifier.
Reason : A rectifier is used to convent alternating
current into direct current.
86. Assertion: Ampere’s circuital law is independent
of Biot-Savart’s law.
Reason: Ampere’s circuital law can be derived
from the Biot-savart’s law .
111. ST A TEMENT -1 : Mechanical energy is the sum
of macroscopic kinetic & potential energies.
ST ATEMENT -2 : Mechanical energy is that part
of total energy which always remain conserved.
95. Assertion : A laminated core is used in
transformers to increase eddy currents.
Reason: The efficiency of a transformer increases
with increase in eddy currents.
77. Assertion: In the measurement of physical
quantities direct and indirect methods are used.
Reason : The accuracy and precision of
measuring instruments along with errors in
measurements should be taken into account,
while expressing the result.
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