2016 NEET Question Paper Solved NEET Notes | EduRev

Created by: Harmain Fatima

NEET : 2016 NEET Question Paper Solved NEET Notes | EduRev

 Page 1


1
ISBN  : 978-9386146441
Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test
Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997
onwards till date, distributed in around 20-25 topics in each subject.
The book has been divided into 4 sections – Physics (divided into 18 chapters), Chemistry (divided into 23 chapters),
Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters).
The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on
that topic. This will assess whether your preparation is up to the mark with the AIIMS level.
The strength of the book lies in the originality of its question papers and Errorless Solutions.
The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions.
The book also contains 1 fully solved 'Mock Test on the Latest Pattern.'
This Paper is taken from our Book:
AIIMS 2016 SOLVED PAPER
Page 2


1
ISBN  : 978-9386146441
Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test
Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997
onwards till date, distributed in around 20-25 topics in each subject.
The book has been divided into 4 sections – Physics (divided into 18 chapters), Chemistry (divided into 23 chapters),
Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters).
The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on
that topic. This will assess whether your preparation is up to the mark with the AIIMS level.
The strength of the book lies in the originality of its question papers and Errorless Solutions.
The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions.
The book also contains 1 fully solved 'Mock Test on the Latest Pattern.'
This Paper is taken from our Book:
AIIMS 2016 SOLVED PAPER
AIIMS Solved Paper 2016 2016-1
AIIMS 2016
PHYSICS
1. Two bodies begin a free fall from the same height
at a time interval of N s. If vertical separation
between the two bodies is 1 after n second from
the start of the first body , then n is equal to
(a)
nN
(b)
gN
1
(c)
2
N
gN
1
+
(d)
4
N
gN
1
-
2. Consider a thin uniform square sheet made of a
rigid material. If its side is ‘a’ mass m and moment
of inertia I about one of its diagonals, then
(a)
2
ma
I
12
> (b)
22
ma ma
I
24 12
<<
(c)
2
ma
I
24
= (d)
2
ma
I
12
=
3. A glass prism of refractive index 1.5 is immersed
in water (refractive index 4/3). A light beam
incident normally on the face AB is totally
reflected to reach on the face BC if
(a)
9
8
sin ³ q
(b)
9
8
sin
3
2
< q <
q
A B
(c)
3
2
sin £ q
(d) None of these
4. In an inductor of self-inductance L = 2 mH,
current changes with time according to relation
i = t
2
e
–t
. At what time emf is zero?
(a) 4s (b) 3s
(c) 2s (d) 1s
5. Two ideal diodes are connected to a battery as
shown in the circuit. The current supplied by
the battery is
D
1
D
2
20W
5V
A
C
E
B
D
F
10W
(a) 0.75 A (b) 0.5 A
(c) 0.25 A (d) zero
6. The period of oscillation of a mass M suspended
from a spring of negligible mass is T. If along
with it another mass M is also suspended, the
period of oscillation will now be
(a)T (b) /2 T
(c) 2T (d) 2 T
7. A coil has resistance 30 ohm and inductive
reactance 20 ohm at 50 Hz frequency. If an ac
source, of 200 volt, 100 Hz, is connected across
the coil, the current in the coil will be
(a) 4.0 A (b) 8.0 A
(c)
20
A
13
(d) 2.0 A
8. The electrostatic potential inside a charged
spherical ball is given by 
2
arb f=+ where r is
the distance from the centre a, b are constants.
Then the charge density inside the ball is
(a)
0
–6ar e (b)
0
– 24 a pe
(c)
0
–6ae (d)
0
– 24ar pe
9. A steel wire is suspended vertically from a rigid
support. When loaded with a weight in air, it
extends by l
a
 and when the weight is immersed
completely in water, the extension is reduced to
l
w
. Then the relative density of material of the
weight is
(a)
w a
/ l l (b)
w a
a
l l
l
-
(c) ) /(
w a w
l l l - (d)
a w
/ l l
Page 3


1
ISBN  : 978-9386146441
Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test
Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997
onwards till date, distributed in around 20-25 topics in each subject.
The book has been divided into 4 sections – Physics (divided into 18 chapters), Chemistry (divided into 23 chapters),
Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters).
The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on
that topic. This will assess whether your preparation is up to the mark with the AIIMS level.
The strength of the book lies in the originality of its question papers and Errorless Solutions.
The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions.
The book also contains 1 fully solved 'Mock Test on the Latest Pattern.'
This Paper is taken from our Book:
AIIMS 2016 SOLVED PAPER
AIIMS Solved Paper 2016 2016-1
AIIMS 2016
PHYSICS
1. Two bodies begin a free fall from the same height
at a time interval of N s. If vertical separation
between the two bodies is 1 after n second from
the start of the first body , then n is equal to
(a)
nN
(b)
gN
1
(c)
2
N
gN
1
+
(d)
4
N
gN
1
-
2. Consider a thin uniform square sheet made of a
rigid material. If its side is ‘a’ mass m and moment
of inertia I about one of its diagonals, then
(a)
2
ma
I
12
> (b)
22
ma ma
I
24 12
<<
(c)
2
ma
I
24
= (d)
2
ma
I
12
=
3. A glass prism of refractive index 1.5 is immersed
in water (refractive index 4/3). A light beam
incident normally on the face AB is totally
reflected to reach on the face BC if
(a)
9
8
sin ³ q
(b)
9
8
sin
3
2
< q <
q
A B
(c)
3
2
sin £ q
(d) None of these
4. In an inductor of self-inductance L = 2 mH,
current changes with time according to relation
i = t
2
e
–t
. At what time emf is zero?
(a) 4s (b) 3s
(c) 2s (d) 1s
5. Two ideal diodes are connected to a battery as
shown in the circuit. The current supplied by
the battery is
D
1
D
2
20W
5V
A
C
E
B
D
F
10W
(a) 0.75 A (b) 0.5 A
(c) 0.25 A (d) zero
6. The period of oscillation of a mass M suspended
from a spring of negligible mass is T. If along
with it another mass M is also suspended, the
period of oscillation will now be
(a)T (b) /2 T
(c) 2T (d) 2 T
7. A coil has resistance 30 ohm and inductive
reactance 20 ohm at 50 Hz frequency. If an ac
source, of 200 volt, 100 Hz, is connected across
the coil, the current in the coil will be
(a) 4.0 A (b) 8.0 A
(c)
20
A
13
(d) 2.0 A
8. The electrostatic potential inside a charged
spherical ball is given by 
2
arb f=+ where r is
the distance from the centre a, b are constants.
Then the charge density inside the ball is
(a)
0
–6ar e (b)
0
– 24 a pe
(c)
0
–6ae (d)
0
– 24ar pe
9. A steel wire is suspended vertically from a rigid
support. When loaded with a weight in air, it
extends by l
a
 and when the weight is immersed
completely in water, the extension is reduced to
l
w
. Then the relative density of material of the
weight is
(a)
w a
/ l l (b)
w a
a
l l
l
-
(c) ) /(
w a w
l l l - (d)
a w
/ l l
2016-2 AIIMS Solved Paper 2016
10. A massless rod of length L is suspended by two
identical strings AB and CD of equal length. A
block of mass m is suspended from point O such
that BO is equal to ‘x’. Further it is observed that
the frequency of 1st harmonic in AB is equal to
2nd harmonic frequency in CD. ‘x’ is
L
x
A
C
D
B
m
O
(a)
5
L
(b)
5
L 4
(c)
4
L 3
(d)
4
L
11. An infinitely long solid cylinder of radius R has
a uniform volume charge density r. It has a
spherical cavity of radius R/2 with its centre on
the axis of the cylinder, as shown in the figure.
The magnitude of the electric field at the point P,
which is at a distance 2R from the axis of the
cylinder, is given by the expression 
0
23R
16K
r
e
. The
value of k is
 
(a)6 (b) 5
(c)7 (d) 4
12. The wavelength of the first line of Lyman series
for hydrogen atom is equal to that of the second
line of Balmer series for a hydrogen like ion. The
atomic number Z of hydrogen like ion is
(a)3 (b) 4
(c)1 (d) 2
13. If e is the charge, V the potential difference, T the
temperature, then the units of 
eV
T
 are the same
as that of
(a) Planck’s constant
(b) Stefan’s constant
(c) Boltzmann constant
(d) Gravitational constant
14. A ball is thrown from a point with a speed ‘v
0
’ at
an elevation angle of 
?
. From the same point
and at the same instant, a person starts running
with a constant speed 
0
'v'
2
 to catch the ball.
Will  the person be able to catch the ball? If yes,
what should be the angle of projection 
?
?
(a) No (b) Y es, 30°
(c) Y es, 60° (d) Y es, 45°
15. A current source drives a current in a coil of
resistance R
1
 for a time t. The same source drives
current in another coil of resistance R
2
 for same
time. If heat generated is same, find internal
resistance of source.
(a)
2 1
2 1
R R
R R
+
(b)
2 1
R R +
(c) zero (d)
2 1
R R
16. An ideal coil of 10H is connected in series with a
resistance of 5W and a battery of 5V . After 2 sec
the connection is made, the current flowing in
ampere in the circuit is
(a) (1 – e
–1
) (b) (1 – e)
(c)e (d) e
–1
17. Two, spring P and Q of force constants k
p
 and
2
p
QQ
k
kk
æö
=
ç÷
èø
 are stretched by applying forces
of equal magnitude. If the energy stored in Q is
E, then the energy stored in P is
(a)E (b) 2 E
(c) E/2 (d) E/4
18. A glass marble dropped from a certain height
above the horizontal surface reaches the surface
in time t and then continues to bounce up and
down. The time in which the marble finally comes
to rest is
Page 4


1
ISBN  : 978-9386146441
Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test
Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997
onwards till date, distributed in around 20-25 topics in each subject.
The book has been divided into 4 sections – Physics (divided into 18 chapters), Chemistry (divided into 23 chapters),
Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters).
The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on
that topic. This will assess whether your preparation is up to the mark with the AIIMS level.
The strength of the book lies in the originality of its question papers and Errorless Solutions.
The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions.
The book also contains 1 fully solved 'Mock Test on the Latest Pattern.'
This Paper is taken from our Book:
AIIMS 2016 SOLVED PAPER
AIIMS Solved Paper 2016 2016-1
AIIMS 2016
PHYSICS
1. Two bodies begin a free fall from the same height
at a time interval of N s. If vertical separation
between the two bodies is 1 after n second from
the start of the first body , then n is equal to
(a)
nN
(b)
gN
1
(c)
2
N
gN
1
+
(d)
4
N
gN
1
-
2. Consider a thin uniform square sheet made of a
rigid material. If its side is ‘a’ mass m and moment
of inertia I about one of its diagonals, then
(a)
2
ma
I
12
> (b)
22
ma ma
I
24 12
<<
(c)
2
ma
I
24
= (d)
2
ma
I
12
=
3. A glass prism of refractive index 1.5 is immersed
in water (refractive index 4/3). A light beam
incident normally on the face AB is totally
reflected to reach on the face BC if
(a)
9
8
sin ³ q
(b)
9
8
sin
3
2
< q <
q
A B
(c)
3
2
sin £ q
(d) None of these
4. In an inductor of self-inductance L = 2 mH,
current changes with time according to relation
i = t
2
e
–t
. At what time emf is zero?
(a) 4s (b) 3s
(c) 2s (d) 1s
5. Two ideal diodes are connected to a battery as
shown in the circuit. The current supplied by
the battery is
D
1
D
2
20W
5V
A
C
E
B
D
F
10W
(a) 0.75 A (b) 0.5 A
(c) 0.25 A (d) zero
6. The period of oscillation of a mass M suspended
from a spring of negligible mass is T. If along
with it another mass M is also suspended, the
period of oscillation will now be
(a)T (b) /2 T
(c) 2T (d) 2 T
7. A coil has resistance 30 ohm and inductive
reactance 20 ohm at 50 Hz frequency. If an ac
source, of 200 volt, 100 Hz, is connected across
the coil, the current in the coil will be
(a) 4.0 A (b) 8.0 A
(c)
20
A
13
(d) 2.0 A
8. The electrostatic potential inside a charged
spherical ball is given by 
2
arb f=+ where r is
the distance from the centre a, b are constants.
Then the charge density inside the ball is
(a)
0
–6ar e (b)
0
– 24 a pe
(c)
0
–6ae (d)
0
– 24ar pe
9. A steel wire is suspended vertically from a rigid
support. When loaded with a weight in air, it
extends by l
a
 and when the weight is immersed
completely in water, the extension is reduced to
l
w
. Then the relative density of material of the
weight is
(a)
w a
/ l l (b)
w a
a
l l
l
-
(c) ) /(
w a w
l l l - (d)
a w
/ l l
2016-2 AIIMS Solved Paper 2016
10. A massless rod of length L is suspended by two
identical strings AB and CD of equal length. A
block of mass m is suspended from point O such
that BO is equal to ‘x’. Further it is observed that
the frequency of 1st harmonic in AB is equal to
2nd harmonic frequency in CD. ‘x’ is
L
x
A
C
D
B
m
O
(a)
5
L
(b)
5
L 4
(c)
4
L 3
(d)
4
L
11. An infinitely long solid cylinder of radius R has
a uniform volume charge density r. It has a
spherical cavity of radius R/2 with its centre on
the axis of the cylinder, as shown in the figure.
The magnitude of the electric field at the point P,
which is at a distance 2R from the axis of the
cylinder, is given by the expression 
0
23R
16K
r
e
. The
value of k is
 
(a)6 (b) 5
(c)7 (d) 4
12. The wavelength of the first line of Lyman series
for hydrogen atom is equal to that of the second
line of Balmer series for a hydrogen like ion. The
atomic number Z of hydrogen like ion is
(a)3 (b) 4
(c)1 (d) 2
13. If e is the charge, V the potential difference, T the
temperature, then the units of 
eV
T
 are the same
as that of
(a) Planck’s constant
(b) Stefan’s constant
(c) Boltzmann constant
(d) Gravitational constant
14. A ball is thrown from a point with a speed ‘v
0
’ at
an elevation angle of 
?
. From the same point
and at the same instant, a person starts running
with a constant speed 
0
'v'
2
 to catch the ball.
Will  the person be able to catch the ball? If yes,
what should be the angle of projection 
?
?
(a) No (b) Y es, 30°
(c) Y es, 60° (d) Y es, 45°
15. A current source drives a current in a coil of
resistance R
1
 for a time t. The same source drives
current in another coil of resistance R
2
 for same
time. If heat generated is same, find internal
resistance of source.
(a)
2 1
2 1
R R
R R
+
(b)
2 1
R R +
(c) zero (d)
2 1
R R
16. An ideal coil of 10H is connected in series with a
resistance of 5W and a battery of 5V . After 2 sec
the connection is made, the current flowing in
ampere in the circuit is
(a) (1 – e
–1
) (b) (1 – e)
(c)e (d) e
–1
17. Two, spring P and Q of force constants k
p
 and
2
p
QQ
k
kk
æö
=
ç÷
èø
 are stretched by applying forces
of equal magnitude. If the energy stored in Q is
E, then the energy stored in P is
(a)E (b) 2 E
(c) E/2 (d) E/4
18. A glass marble dropped from a certain height
above the horizontal surface reaches the surface
in time t and then continues to bounce up and
down. The time in which the marble finally comes
to rest is
AIIMS Solved Paper 2016 2016-3
(a)
t e
n
(b)
t e
2
(c)
e
t
1e
1+ éù
êú
-
ëû
(d) ú
û
ù
ê
ë
é
+
- 1
e 1
e
t
19. Water is filled up to a height h in a beaker of
radius R as shown in the figure. The density of
water is r, the surface tension of water is T and
the atmospheric pressure is P
0
. Consider a
vertical section ABCD of the water column
through a diameter of the beaker. The force on
water on one side of this section  by water on
the other side of this section has magnitude
2R
A
B
D
C
h
(a)
2
0
|2 2| P Rh R gh RT +p r-
(b)
2
0
|2 2| P Rh R gh RT +r-
(c)
22
0
| 2| P R R gh RT p +r-
(d)
22
0
| 2| P R R gh RT p +r+
20. Two similar open organ pipe of length 50 cm and
50.5 cm produce 3 beats per second when
sounded together. The velocity of sound in air
is
(a) 303 m/s (b) 330 m/s
(c) 151.5 m/s (d) 603 m/s
21. Two points A and B are situated at a distance x
and 2x respectively from the nearer pole of a
magnet 2 cm long. The ratio of magnetic field at
A and B is
(a) 4 : 1 exactly
(b) 4 : 1 approximately
(c) 8 : 1 approximately
(d) 1 : 1 approximately
22. A particle of mass M is situated at the centre of a
spherical shell of same mass and radius a. The
gravitational potential at a point situated at 
2
a
distance from the centre, will be
(a)
3GM
a
-
(b)
2 GM
a
-
(c)
GM
a
-
(d)
4 GM
a
-
23. A particle moves with simple harmonic motion in
a straight line. In first t s, after starting from rest,
it travels a distance a, and in next t s, it travels 2a
in same direction then
(a) amplitude of motion is 3a
(b) time period of oscillations is 8t.
(c) amplitude of motion is 4a.
(d) time period of oscillations is 6t.
24. A ray of light is incident at an angle of incidence,
i, on one face of prism of angle A (assumed to be
small)  and emerges normally from the opposite
face. If the refractive index of the prism is m, the
angle of incidence i, is nearly equal to
(a) mA (b)
2
A m
(c)
A
m
(d)   
2
A
m
25. A smooth block is released at rest on a 45° incline
and then slides a distance ‘d’. The time taken to
slide is ‘n’ times as much to slide on rough incline
than on a smooth incline. The coefficient of
friction is
(a)
k
m = 
2
n
1
1- (b)
k
m = 
2
n
1
1-
(c)
s
m = 
2
n
1
1- (d)
s
m = 
2
n
1
1-
26. Two long conductors, separated by a distance d
carry current I
1
 and I
2
 in the same direction. They
exert a force F on each other. Now the current in
one of them is increased to two times and its
direction is reversed. The distance is also
increased to 3d. The new value of the force
between them is
Page 5


1
ISBN  : 978-9386146441
Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test
Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997
onwards till date, distributed in around 20-25 topics in each subject.
The book has been divided into 4 sections – Physics (divided into 18 chapters), Chemistry (divided into 23 chapters),
Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters).
The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on
that topic. This will assess whether your preparation is up to the mark with the AIIMS level.
The strength of the book lies in the originality of its question papers and Errorless Solutions.
The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions.
The book also contains 1 fully solved 'Mock Test on the Latest Pattern.'
This Paper is taken from our Book:
AIIMS 2016 SOLVED PAPER
AIIMS Solved Paper 2016 2016-1
AIIMS 2016
PHYSICS
1. Two bodies begin a free fall from the same height
at a time interval of N s. If vertical separation
between the two bodies is 1 after n second from
the start of the first body , then n is equal to
(a)
nN
(b)
gN
1
(c)
2
N
gN
1
+
(d)
4
N
gN
1
-
2. Consider a thin uniform square sheet made of a
rigid material. If its side is ‘a’ mass m and moment
of inertia I about one of its diagonals, then
(a)
2
ma
I
12
> (b)
22
ma ma
I
24 12
<<
(c)
2
ma
I
24
= (d)
2
ma
I
12
=
3. A glass prism of refractive index 1.5 is immersed
in water (refractive index 4/3). A light beam
incident normally on the face AB is totally
reflected to reach on the face BC if
(a)
9
8
sin ³ q
(b)
9
8
sin
3
2
< q <
q
A B
(c)
3
2
sin £ q
(d) None of these
4. In an inductor of self-inductance L = 2 mH,
current changes with time according to relation
i = t
2
e
–t
. At what time emf is zero?
(a) 4s (b) 3s
(c) 2s (d) 1s
5. Two ideal diodes are connected to a battery as
shown in the circuit. The current supplied by
the battery is
D
1
D
2
20W
5V
A
C
E
B
D
F
10W
(a) 0.75 A (b) 0.5 A
(c) 0.25 A (d) zero
6. The period of oscillation of a mass M suspended
from a spring of negligible mass is T. If along
with it another mass M is also suspended, the
period of oscillation will now be
(a)T (b) /2 T
(c) 2T (d) 2 T
7. A coil has resistance 30 ohm and inductive
reactance 20 ohm at 50 Hz frequency. If an ac
source, of 200 volt, 100 Hz, is connected across
the coil, the current in the coil will be
(a) 4.0 A (b) 8.0 A
(c)
20
A
13
(d) 2.0 A
8. The electrostatic potential inside a charged
spherical ball is given by 
2
arb f=+ where r is
the distance from the centre a, b are constants.
Then the charge density inside the ball is
(a)
0
–6ar e (b)
0
– 24 a pe
(c)
0
–6ae (d)
0
– 24ar pe
9. A steel wire is suspended vertically from a rigid
support. When loaded with a weight in air, it
extends by l
a
 and when the weight is immersed
completely in water, the extension is reduced to
l
w
. Then the relative density of material of the
weight is
(a)
w a
/ l l (b)
w a
a
l l
l
-
(c) ) /(
w a w
l l l - (d)
a w
/ l l
2016-2 AIIMS Solved Paper 2016
10. A massless rod of length L is suspended by two
identical strings AB and CD of equal length. A
block of mass m is suspended from point O such
that BO is equal to ‘x’. Further it is observed that
the frequency of 1st harmonic in AB is equal to
2nd harmonic frequency in CD. ‘x’ is
L
x
A
C
D
B
m
O
(a)
5
L
(b)
5
L 4
(c)
4
L 3
(d)
4
L
11. An infinitely long solid cylinder of radius R has
a uniform volume charge density r. It has a
spherical cavity of radius R/2 with its centre on
the axis of the cylinder, as shown in the figure.
The magnitude of the electric field at the point P,
which is at a distance 2R from the axis of the
cylinder, is given by the expression 
0
23R
16K
r
e
. The
value of k is
 
(a)6 (b) 5
(c)7 (d) 4
12. The wavelength of the first line of Lyman series
for hydrogen atom is equal to that of the second
line of Balmer series for a hydrogen like ion. The
atomic number Z of hydrogen like ion is
(a)3 (b) 4
(c)1 (d) 2
13. If e is the charge, V the potential difference, T the
temperature, then the units of 
eV
T
 are the same
as that of
(a) Planck’s constant
(b) Stefan’s constant
(c) Boltzmann constant
(d) Gravitational constant
14. A ball is thrown from a point with a speed ‘v
0
’ at
an elevation angle of 
?
. From the same point
and at the same instant, a person starts running
with a constant speed 
0
'v'
2
 to catch the ball.
Will  the person be able to catch the ball? If yes,
what should be the angle of projection 
?
?
(a) No (b) Y es, 30°
(c) Y es, 60° (d) Y es, 45°
15. A current source drives a current in a coil of
resistance R
1
 for a time t. The same source drives
current in another coil of resistance R
2
 for same
time. If heat generated is same, find internal
resistance of source.
(a)
2 1
2 1
R R
R R
+
(b)
2 1
R R +
(c) zero (d)
2 1
R R
16. An ideal coil of 10H is connected in series with a
resistance of 5W and a battery of 5V . After 2 sec
the connection is made, the current flowing in
ampere in the circuit is
(a) (1 – e
–1
) (b) (1 – e)
(c)e (d) e
–1
17. Two, spring P and Q of force constants k
p
 and
2
p
QQ
k
kk
æö
=
ç÷
èø
 are stretched by applying forces
of equal magnitude. If the energy stored in Q is
E, then the energy stored in P is
(a)E (b) 2 E
(c) E/2 (d) E/4
18. A glass marble dropped from a certain height
above the horizontal surface reaches the surface
in time t and then continues to bounce up and
down. The time in which the marble finally comes
to rest is
AIIMS Solved Paper 2016 2016-3
(a)
t e
n
(b)
t e
2
(c)
e
t
1e
1+ éù
êú
-
ëû
(d) ú
û
ù
ê
ë
é
+
- 1
e 1
e
t
19. Water is filled up to a height h in a beaker of
radius R as shown in the figure. The density of
water is r, the surface tension of water is T and
the atmospheric pressure is P
0
. Consider a
vertical section ABCD of the water column
through a diameter of the beaker. The force on
water on one side of this section  by water on
the other side of this section has magnitude
2R
A
B
D
C
h
(a)
2
0
|2 2| P Rh R gh RT +p r-
(b)
2
0
|2 2| P Rh R gh RT +r-
(c)
22
0
| 2| P R R gh RT p +r-
(d)
22
0
| 2| P R R gh RT p +r+
20. Two similar open organ pipe of length 50 cm and
50.5 cm produce 3 beats per second when
sounded together. The velocity of sound in air
is
(a) 303 m/s (b) 330 m/s
(c) 151.5 m/s (d) 603 m/s
21. Two points A and B are situated at a distance x
and 2x respectively from the nearer pole of a
magnet 2 cm long. The ratio of magnetic field at
A and B is
(a) 4 : 1 exactly
(b) 4 : 1 approximately
(c) 8 : 1 approximately
(d) 1 : 1 approximately
22. A particle of mass M is situated at the centre of a
spherical shell of same mass and radius a. The
gravitational potential at a point situated at 
2
a
distance from the centre, will be
(a)
3GM
a
-
(b)
2 GM
a
-
(c)
GM
a
-
(d)
4 GM
a
-
23. A particle moves with simple harmonic motion in
a straight line. In first t s, after starting from rest,
it travels a distance a, and in next t s, it travels 2a
in same direction then
(a) amplitude of motion is 3a
(b) time period of oscillations is 8t.
(c) amplitude of motion is 4a.
(d) time period of oscillations is 6t.
24. A ray of light is incident at an angle of incidence,
i, on one face of prism of angle A (assumed to be
small)  and emerges normally from the opposite
face. If the refractive index of the prism is m, the
angle of incidence i, is nearly equal to
(a) mA (b)
2
A m
(c)
A
m
(d)   
2
A
m
25. A smooth block is released at rest on a 45° incline
and then slides a distance ‘d’. The time taken to
slide is ‘n’ times as much to slide on rough incline
than on a smooth incline. The coefficient of
friction is
(a)
k
m = 
2
n
1
1- (b)
k
m = 
2
n
1
1-
(c)
s
m = 
2
n
1
1- (d)
s
m = 
2
n
1
1-
26. Two long conductors, separated by a distance d
carry current I
1
 and I
2
 in the same direction. They
exert a force F on each other. Now the current in
one of them is increased to two times and its
direction is reversed. The distance is also
increased to 3d. The new value of the force
between them is
2016-4 AIIMS Solved Paper 2016
(a)
3
F 2
-
(b)
3
F
(c) –2 F (d)
3
F
-
27. Figure below shows two paths that may be taken
by a gas to go from a state A to a state C.
2 × 10 m  4 × 10 m
–
3 3 –33
2×10 Pa
4 
6×10 Pa
4
P
B C
A
V
In process AB, 400 J of heat is added to the system
and in process BC, 100 J of heat is added to the
system. The heat absorbed by the system in the
process AC will be
(a) 500 J (b) 460 J
(c) 300 J (d) 380 J
28. A whistle S of frequency f revolves in a circle of
radius R at a constant speed v. What is the ratio
of largest and smallest frequency detected by a
detector D at rest at a distance 2R from the centre
of circle as shown in figure ?
(take c as speed of sound)
D
2R
R
S
(a)
cv
cv
+ æö
ç÷
èø -
(b)
cv
2
cv
+ æö
ç÷
èø -
(c)
2
(d)
(c v)
c2
+
29. Steam is passed into 22 g of water at 20°C . The
mass of water that will be present when the water
acquires a temperature of 90°C is (Latent heat of
steam is 540 cal/gm)
(a) 24.8 gm (b) 24 gm
(c) 36.6 gm (d) 30 gm
30. A single slit Fraunhoffer diffraction pattern is
formed with white light. For what wavelength of
light the third secondary maximum in the
diffraction pattern coincides with the second
secondary maximum in the pattern for red light
of wavelength 6500 Å?
(a) 4400 Å (b) 4100 Å
(c) 4642.8 Å (d) 9100 Å
31. A vessel contains oil (density = 0.8 gm/cm
3
) over
mercury (denisty = 13.6 gm/cm
3
). A
homogeneous sphere floats with half of its
volume immersed in mercury and the other half
in oil. The density of the material of the sphere in
gm/cm
3
 is
(a) 3.3 (b) 6.4
(c) 7.2 (d) 12.8
32. A thermally insulated vessel contains an ideal
gas of molecular mass M and ratio of specific
heats g. It is moving with speed v and its suddenly
brought to rest. Assuming no heat is lost to the
surroundings, its temperature increases by
(a)
2
( – 1)
2
MvK
R
g
g
(b)
2
2
Mv
K
R
g
(c)
2
( – 1)
2
MvK
R
g
(d)
2
( – 1)
2( 1)
MvK
R
g
g+
33. The distance of neptune and saturn from the
sun is nearly 10
13
 and 10
12
 meter respectively.
Assuming that they move in circular orbits, their
periodic times will be in the ratio
( a) 10 (b) 1 00
(c)
10 10
(d) 1000
34. A charge +q is fixed at each of the points x = x
0
,
x = 3x
0
, x = 5x
0
, .... upto 
¥
 on X-axis and charge
–q is fixed on each of the points x = 2x
0
, x = 4x
0
,
x = 6x
0
, .... upto ¥ . Here x
0
 is a positive constant.
Take the potential at a point due to a charge Q at
a distance r from it to be 
r 4
Q
0
pe
. Then the
potential at the origin due to above system of
charges will be
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