WBJEE Previous Year Question Paper - 2016 | WBJEE Sample Papers, Section Wise & Full Mock Tests 2026 PDF Download

 Page 1


Physics
Category I (Q.1 to Q.30) Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch -
1
4
mark.
1. Equivalent capacitance between A and B in
the figure is
(a)20mF (b) 8mF
(c)12mF (d)16mF
2. Two wires of same radius having lengthsl
1
andl
2
and resistivitiesr
1
andr
2
are
connected in series. The equivalent
resistivity will be
(a)
r r
r r
1 2 2 1
1 2
l l +
+
(b)
r r
11 2 2
1 2
l l
l l
+
+
(c)
r r
11 2 2
1 2
l l
l l
-
-
(d)
r r
1 2 2 1
1 2
l l
l l
+
+
3. A hollow metal sphere of radius R is charged
with a charge Q. The electric potential and
intensity inside the sphere are respectively
(a)
Q
R 4
0
2
p e
and
Q
R 4
0
p e
(b)
Q
R 4
0
p e
and zero
(c) zero and zero
(d)
4
0
p e Q
R
and
Q
R 4
0
2
p e
4. The potential difference V required for
accelerating an electron to have the
de-Broglie wavelength of 1 Å is
(a) 100 V (b) 125 V
(c) 150 V (d) 200 V
5. The work function of Cesium is 2.27 eV. The
cut-off voltage which stops the emission of
electrons from a cesium cathode irradiated
with light of 600 nm wavelength is
(a) 0.5 V (b) -02 . V
(c) -05 . V (d) 0.2 V
6. The number of de-Broglie wavelengths
contained in the second Bohr orbit of
hydrogen atom is
(a) 1 (b) 2
(c) 3 (d) 4
7. The wavelength of second Balmer line in
hydrogen spectrum is 600 nm. The
wavelength for its third line in Lyman series
is
(a) 800 nm (b) 600 nm
(c) 400 nm (d) 200 nm
8. A ray of light strikes a glass plate at an angle
of 60°. If the reflected and refracted rays are
perpendicular to each other, the refractive
index of glass is
(a)
3
2
(b)
3
2
(c)
1
2
(d) 3
4mF 4mF
4mF
4mF 4mF
A B
C
WB JEE
Engineering Entrance Exam
Solved Paper 2016
Page 1 of 39
Page 2


Physics
Category I (Q.1 to Q.30) Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch -
1
4
mark.
1. Equivalent capacitance between A and B in
the figure is
(a)20mF (b) 8mF
(c)12mF (d)16mF
2. Two wires of same radius having lengthsl
1
andl
2
and resistivitiesr
1
andr
2
are
connected in series. The equivalent
resistivity will be
(a)
r r
r r
1 2 2 1
1 2
l l +
+
(b)
r r
11 2 2
1 2
l l
l l
+
+
(c)
r r
11 2 2
1 2
l l
l l
-
-
(d)
r r
1 2 2 1
1 2
l l
l l
+
+
3. A hollow metal sphere of radius R is charged
with a charge Q. The electric potential and
intensity inside the sphere are respectively
(a)
Q
R 4
0
2
p e
and
Q
R 4
0
p e
(b)
Q
R 4
0
p e
and zero
(c) zero and zero
(d)
4
0
p e Q
R
and
Q
R 4
0
2
p e
4. The potential difference V required for
accelerating an electron to have the
de-Broglie wavelength of 1 Å is
(a) 100 V (b) 125 V
(c) 150 V (d) 200 V
5. The work function of Cesium is 2.27 eV. The
cut-off voltage which stops the emission of
electrons from a cesium cathode irradiated
with light of 600 nm wavelength is
(a) 0.5 V (b) -02 . V
(c) -05 . V (d) 0.2 V
6. The number of de-Broglie wavelengths
contained in the second Bohr orbit of
hydrogen atom is
(a) 1 (b) 2
(c) 3 (d) 4
7. The wavelength of second Balmer line in
hydrogen spectrum is 600 nm. The
wavelength for its third line in Lyman series
is
(a) 800 nm (b) 600 nm
(c) 400 nm (d) 200 nm
8. A ray of light strikes a glass plate at an angle
of 60°. If the reflected and refracted rays are
perpendicular to each other, the refractive
index of glass is
(a)
3
2
(b)
3
2
(c)
1
2
(d) 3
4mF 4mF
4mF
4mF 4mF
A B
C
WB JEE
Engineering Entrance Exam
Solved Paper 2016
Page 1 of 39
9. Light travels through a glass plate of
thicknesst and having refractive indexm. Ifc
be the velocity of light in vacuum, time taken
by the light to travel through this thickness
of glass is
(a)
t
c m
(b)
tc
m
(c)
mt
c
(d)mtc
10. Ifx at bt = +
2
, wherex is in metre( ) m andt is
in hour( ) h , then unit ofb will be
(a)
m
h
2
(b)m
(c)
m
h
(d)
m
h
2
11. The vectors A and B are such that
| | | | A B A B + = - . The angle between the two
vectors will be
(a) 0° (b) 60° (c) 90° (d) 45°
12. At a particular height, the velocity of an
ascending body isu. The velocity at the same
height while the body falls freely is
(a)2 u (b) -u (c)u (d) -2 u
13. Two bodies of masses m
1
and m
2
are
separated by a distance R. The distance of the
centre of mass of the bodies from the mass
m
1
is
(a)
m R
m m
2
1 2
+
(b)
mR
m m
1
1 2
+
(c)
mm
m m
R
1 2
1 2
+
(d)
m m
m
R
1 2
1
+
14. The velocity of sound in air at 20°C and 1 atm
pressure is 344.2 m/s. At 40°C and 2 atm
pressure, the velocity of sound in air is
approximately
(a) 350 m/s (b) 356 m/s
(c) 363 m/s (d) 370 m/s
15. The perfect gas equation for 4 g of hydrogen
gas is
(a) pV RT = (b) pV RT =2
(c) pV RT =
1
2
(d) pV RT = 4
16. If the temperature of the Sun gets doubled,
the rate of energy received on the Earth will
increase by a factor of
(a) 2 (b) 4 (c) 8 (d) 16
17. A particle vibrating simple harmonically has
an acceleration of 16 cms
-2
when it is at a
distance of 4 cm from the mean position. Its
time period is
(a) 1 s (b) 2.572 s
(c) 3.142 s (d) 6.028 s
18. Work done for a certain spring when
stretched through 1 mm is 10 joule. The
amount of work that must be done on the
spring to stretch it further by 1 mm is
(a) 30 J (b) 40 J
(c) 10 J (d) 20 J
19. If the rms velocity of hydrogen gas at a
certain temperature is c, then the rms
velocity of oxygen gas at the same
temperature is
(a)
c
8
(b)
c
10
(c)
c
4
(d)
c
2
20. For air at room temperature, the atmospheric
pressure is10 10
5
. ´ Nm
-2
and density of air
is 1.2 kgm
-3
. For a tube of length 1.0 m,
closed at one end, the lowest frequency
generated is 84 Hz. The value of g
(ratio of two specific heats) for air is
(a) 2.1 (b) 1.5 (c) 1.8 (d) 1.4
21. A gas bubble of 2 cm diameter rises through a
liquid of density 1.75 g cm
-3
with a fixed
speed of 0.35 cms
-1
. Neglect the density of the
gas. The coefficient of viscosity of the liquid is
(a) 870 poise (b) 1120 poise
(c) 982 poise (d) 1089 poise
22. The temperature of the water of a pond
is 0 °C while that of the surrounding
atmosphere is -20 °C. If the density of ice
isr, coefficient of thermal conductivity is k
and latent heat of melting is L, then the
thicknessZ of ice layer formed increases as a
function of timet is
(a) Z
k
L
t
2
60
=
r
(b) Z
k
L
t =
40
r
(c) Z
k
L
t
2
40
=
r
(d) Z
k
L
t
2
40
=
r
Page 2 of 39
Page 3


Physics
Category I (Q.1 to Q.30) Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch -
1
4
mark.
1. Equivalent capacitance between A and B in
the figure is
(a)20mF (b) 8mF
(c)12mF (d)16mF
2. Two wires of same radius having lengthsl
1
andl
2
and resistivitiesr
1
andr
2
are
connected in series. The equivalent
resistivity will be
(a)
r r
r r
1 2 2 1
1 2
l l +
+
(b)
r r
11 2 2
1 2
l l
l l
+
+
(c)
r r
11 2 2
1 2
l l
l l
-
-
(d)
r r
1 2 2 1
1 2
l l
l l
+
+
3. A hollow metal sphere of radius R is charged
with a charge Q. The electric potential and
intensity inside the sphere are respectively
(a)
Q
R 4
0
2
p e
and
Q
R 4
0
p e
(b)
Q
R 4
0
p e
and zero
(c) zero and zero
(d)
4
0
p e Q
R
and
Q
R 4
0
2
p e
4. The potential difference V required for
accelerating an electron to have the
de-Broglie wavelength of 1 Å is
(a) 100 V (b) 125 V
(c) 150 V (d) 200 V
5. The work function of Cesium is 2.27 eV. The
cut-off voltage which stops the emission of
electrons from a cesium cathode irradiated
with light of 600 nm wavelength is
(a) 0.5 V (b) -02 . V
(c) -05 . V (d) 0.2 V
6. The number of de-Broglie wavelengths
contained in the second Bohr orbit of
hydrogen atom is
(a) 1 (b) 2
(c) 3 (d) 4
7. The wavelength of second Balmer line in
hydrogen spectrum is 600 nm. The
wavelength for its third line in Lyman series
is
(a) 800 nm (b) 600 nm
(c) 400 nm (d) 200 nm
8. A ray of light strikes a glass plate at an angle
of 60°. If the reflected and refracted rays are
perpendicular to each other, the refractive
index of glass is
(a)
3
2
(b)
3
2
(c)
1
2
(d) 3
4mF 4mF
4mF
4mF 4mF
A B
C
WB JEE
Engineering Entrance Exam
Solved Paper 2016
Page 1 of 39
9. Light travels through a glass plate of
thicknesst and having refractive indexm. Ifc
be the velocity of light in vacuum, time taken
by the light to travel through this thickness
of glass is
(a)
t
c m
(b)
tc
m
(c)
mt
c
(d)mtc
10. Ifx at bt = +
2
, wherex is in metre( ) m andt is
in hour( ) h , then unit ofb will be
(a)
m
h
2
(b)m
(c)
m
h
(d)
m
h
2
11. The vectors A and B are such that
| | | | A B A B + = - . The angle between the two
vectors will be
(a) 0° (b) 60° (c) 90° (d) 45°
12. At a particular height, the velocity of an
ascending body isu. The velocity at the same
height while the body falls freely is
(a)2 u (b) -u (c)u (d) -2 u
13. Two bodies of masses m
1
and m
2
are
separated by a distance R. The distance of the
centre of mass of the bodies from the mass
m
1
is
(a)
m R
m m
2
1 2
+
(b)
mR
m m
1
1 2
+
(c)
mm
m m
R
1 2
1 2
+
(d)
m m
m
R
1 2
1
+
14. The velocity of sound in air at 20°C and 1 atm
pressure is 344.2 m/s. At 40°C and 2 atm
pressure, the velocity of sound in air is
approximately
(a) 350 m/s (b) 356 m/s
(c) 363 m/s (d) 370 m/s
15. The perfect gas equation for 4 g of hydrogen
gas is
(a) pV RT = (b) pV RT =2
(c) pV RT =
1
2
(d) pV RT = 4
16. If the temperature of the Sun gets doubled,
the rate of energy received on the Earth will
increase by a factor of
(a) 2 (b) 4 (c) 8 (d) 16
17. A particle vibrating simple harmonically has
an acceleration of 16 cms
-2
when it is at a
distance of 4 cm from the mean position. Its
time period is
(a) 1 s (b) 2.572 s
(c) 3.142 s (d) 6.028 s
18. Work done for a certain spring when
stretched through 1 mm is 10 joule. The
amount of work that must be done on the
spring to stretch it further by 1 mm is
(a) 30 J (b) 40 J
(c) 10 J (d) 20 J
19. If the rms velocity of hydrogen gas at a
certain temperature is c, then the rms
velocity of oxygen gas at the same
temperature is
(a)
c
8
(b)
c
10
(c)
c
4
(d)
c
2
20. For air at room temperature, the atmospheric
pressure is10 10
5
. ´ Nm
-2
and density of air
is 1.2 kgm
-3
. For a tube of length 1.0 m,
closed at one end, the lowest frequency
generated is 84 Hz. The value of g
(ratio of two specific heats) for air is
(a) 2.1 (b) 1.5 (c) 1.8 (d) 1.4
21. A gas bubble of 2 cm diameter rises through a
liquid of density 1.75 g cm
-3
with a fixed
speed of 0.35 cms
-1
. Neglect the density of the
gas. The coefficient of viscosity of the liquid is
(a) 870 poise (b) 1120 poise
(c) 982 poise (d) 1089 poise
22. The temperature of the water of a pond
is 0 °C while that of the surrounding
atmosphere is -20 °C. If the density of ice
isr, coefficient of thermal conductivity is k
and latent heat of melting is L, then the
thicknessZ of ice layer formed increases as a
function of timet is
(a) Z
k
L
t
2
60
=
r
(b) Z
k
L
t =
40
r
(c) Z
k
L
t
2
40
=
r
(d) Z
k
L
t
2
40
=
r
Page 2 of 39
23. 1000 droplets of water having 2 mm
diameter each coalesce to form a single drop.
Given the surface tension of water is
0.072 Nm
-1
. The energy loss in the process is
(a) 8146 10
4
. ´
-
J (b) 44 10
4
. ´
-
J
(c)2108 10
5
. ´
-
J (d) 47 10
1
. ´
-
J
24. A Zener diode having break-down voltage
5.6 V is connected in reverse bias with a
battery of emf 10 V and a resistance of100 W
in series. The current flowing through the
Zener diode is
(a) 88 mA (b) 0.88 mA
(c) 4.4 mA (d) 44 mA
25. In case of a bipolar transistor b =45. The
potential drop across the collector resistance
of 1 kW is 5V. The base current is
approximately
(a)222m A (b) 55mA (c)111mA (d) 45mA
26. An electron enters an electric field having
intensity E i j k = + + 3 6 2
$ $ $
Vm
-1
and
magnetic field having induction
B i j = + 2 3
$ $
T with a velocityv i j = + 2 3
$ $
ms
-1
.
The magnitude of the force acting on the
electron is
(Given,e = - ´
-
16 10
19
. C)
(a)202 10
18
. ´
-
N (b) 516 10
16
. ´
-
N
(c) 372 10
17
. ´
-
N (d) 441 10
18
. ´
-
N
27. Two coils of self-inductances 6 mH and
8 mH are connected in series and are
adjusted for highest coefficient of coupling.
Equivalent self-inductance L for the assembly
is approximately
(a) 50 mH
(b) 36 mH
(c) 28 mH
(d) 18 mH
28. A 1mF capacitor C is connected to a battery of
10 V through a resistance 1 MW. The voltage
across C after 1 s is approximately
(a) 5.6 V (b) 7.8 V
(c) 6.3 V (d) 10 V
29. Two equal resistances, 400 W each, are
connected in series with a 8 V battery. If the
resistance of first one increases by 0.5%, the
change required in the resistance of the
second one in order to keep the potential
difference across it unaltered is to
(a) increase it by1W
(b) increase it by2W
(c) increase it by 4W
(d) decrease it by 4W
30. Angle between an equipotential surface and
electric lines of force is
(a) 0° (b) 90°
(c) 180° (d) 270°
Category II (Q. 31 to Q. 35) Only one answer is correct. Correct answer will fetch full marks 2. If correct
answer are any combination of more than one answer will fetch -
1
2
mark.
31. A current I I e
t
=
-
0
l
is flowing in a circuit
consisting of a parallel combination of
resistance R and capacitance C. The total
charge over the entire pulse period is
(a)
I
0
l
(b)
2
0
I
l
(c) I
0
l (d)e
I
0
l
32. For Fraunhoffer diffraction to occur
(a) Light source should be at infinity
(b) Both source and screen should be at infinity
(c) Only the source should be at finite distance
(d) Both source and screen should be at finite
distance
33. The temperature of a blackbody radiation
enclosed in a container of volume V is
increased from 100 °C to 1000 °C. The heat
required in the process is
(a) 479 10
4
. ´
-
cal (b) 921 10
5
. ´
-
cal
(c)217 10
4
. ´
-
cal (d)754 10
4
. ´
-
cal
34. A mass of 1 kg is suspended by means of a
thread. The system is (i) lifted up with an
acceleration of 4.9 ms
-2
. (ii) lowered with an
Page 3 of 39
Page 4


Physics
Category I (Q.1 to Q.30) Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch -
1
4
mark.
1. Equivalent capacitance between A and B in
the figure is
(a)20mF (b) 8mF
(c)12mF (d)16mF
2. Two wires of same radius having lengthsl
1
andl
2
and resistivitiesr
1
andr
2
are
connected in series. The equivalent
resistivity will be
(a)
r r
r r
1 2 2 1
1 2
l l +
+
(b)
r r
11 2 2
1 2
l l
l l
+
+
(c)
r r
11 2 2
1 2
l l
l l
-
-
(d)
r r
1 2 2 1
1 2
l l
l l
+
+
3. A hollow metal sphere of radius R is charged
with a charge Q. The electric potential and
intensity inside the sphere are respectively
(a)
Q
R 4
0
2
p e
and
Q
R 4
0
p e
(b)
Q
R 4
0
p e
and zero
(c) zero and zero
(d)
4
0
p e Q
R
and
Q
R 4
0
2
p e
4. The potential difference V required for
accelerating an electron to have the
de-Broglie wavelength of 1 Å is
(a) 100 V (b) 125 V
(c) 150 V (d) 200 V
5. The work function of Cesium is 2.27 eV. The
cut-off voltage which stops the emission of
electrons from a cesium cathode irradiated
with light of 600 nm wavelength is
(a) 0.5 V (b) -02 . V
(c) -05 . V (d) 0.2 V
6. The number of de-Broglie wavelengths
contained in the second Bohr orbit of
hydrogen atom is
(a) 1 (b) 2
(c) 3 (d) 4
7. The wavelength of second Balmer line in
hydrogen spectrum is 600 nm. The
wavelength for its third line in Lyman series
is
(a) 800 nm (b) 600 nm
(c) 400 nm (d) 200 nm
8. A ray of light strikes a glass plate at an angle
of 60°. If the reflected and refracted rays are
perpendicular to each other, the refractive
index of glass is
(a)
3
2
(b)
3
2
(c)
1
2
(d) 3
4mF 4mF
4mF
4mF 4mF
A B
C
WB JEE
Engineering Entrance Exam
Solved Paper 2016
Page 1 of 39
9. Light travels through a glass plate of
thicknesst and having refractive indexm. Ifc
be the velocity of light in vacuum, time taken
by the light to travel through this thickness
of glass is
(a)
t
c m
(b)
tc
m
(c)
mt
c
(d)mtc
10. Ifx at bt = +
2
, wherex is in metre( ) m andt is
in hour( ) h , then unit ofb will be
(a)
m
h
2
(b)m
(c)
m
h
(d)
m
h
2
11. The vectors A and B are such that
| | | | A B A B + = - . The angle between the two
vectors will be
(a) 0° (b) 60° (c) 90° (d) 45°
12. At a particular height, the velocity of an
ascending body isu. The velocity at the same
height while the body falls freely is
(a)2 u (b) -u (c)u (d) -2 u
13. Two bodies of masses m
1
and m
2
are
separated by a distance R. The distance of the
centre of mass of the bodies from the mass
m
1
is
(a)
m R
m m
2
1 2
+
(b)
mR
m m
1
1 2
+
(c)
mm
m m
R
1 2
1 2
+
(d)
m m
m
R
1 2
1
+
14. The velocity of sound in air at 20°C and 1 atm
pressure is 344.2 m/s. At 40°C and 2 atm
pressure, the velocity of sound in air is
approximately
(a) 350 m/s (b) 356 m/s
(c) 363 m/s (d) 370 m/s
15. The perfect gas equation for 4 g of hydrogen
gas is
(a) pV RT = (b) pV RT =2
(c) pV RT =
1
2
(d) pV RT = 4
16. If the temperature of the Sun gets doubled,
the rate of energy received on the Earth will
increase by a factor of
(a) 2 (b) 4 (c) 8 (d) 16
17. A particle vibrating simple harmonically has
an acceleration of 16 cms
-2
when it is at a
distance of 4 cm from the mean position. Its
time period is
(a) 1 s (b) 2.572 s
(c) 3.142 s (d) 6.028 s
18. Work done for a certain spring when
stretched through 1 mm is 10 joule. The
amount of work that must be done on the
spring to stretch it further by 1 mm is
(a) 30 J (b) 40 J
(c) 10 J (d) 20 J
19. If the rms velocity of hydrogen gas at a
certain temperature is c, then the rms
velocity of oxygen gas at the same
temperature is
(a)
c
8
(b)
c
10
(c)
c
4
(d)
c
2
20. For air at room temperature, the atmospheric
pressure is10 10
5
. ´ Nm
-2
and density of air
is 1.2 kgm
-3
. For a tube of length 1.0 m,
closed at one end, the lowest frequency
generated is 84 Hz. The value of g
(ratio of two specific heats) for air is
(a) 2.1 (b) 1.5 (c) 1.8 (d) 1.4
21. A gas bubble of 2 cm diameter rises through a
liquid of density 1.75 g cm
-3
with a fixed
speed of 0.35 cms
-1
. Neglect the density of the
gas. The coefficient of viscosity of the liquid is
(a) 870 poise (b) 1120 poise
(c) 982 poise (d) 1089 poise
22. The temperature of the water of a pond
is 0 °C while that of the surrounding
atmosphere is -20 °C. If the density of ice
isr, coefficient of thermal conductivity is k
and latent heat of melting is L, then the
thicknessZ of ice layer formed increases as a
function of timet is
(a) Z
k
L
t
2
60
=
r
(b) Z
k
L
t =
40
r
(c) Z
k
L
t
2
40
=
r
(d) Z
k
L
t
2
40
=
r
Page 2 of 39
23. 1000 droplets of water having 2 mm
diameter each coalesce to form a single drop.
Given the surface tension of water is
0.072 Nm
-1
. The energy loss in the process is
(a) 8146 10
4
. ´
-
J (b) 44 10
4
. ´
-
J
(c)2108 10
5
. ´
-
J (d) 47 10
1
. ´
-
J
24. A Zener diode having break-down voltage
5.6 V is connected in reverse bias with a
battery of emf 10 V and a resistance of100 W
in series. The current flowing through the
Zener diode is
(a) 88 mA (b) 0.88 mA
(c) 4.4 mA (d) 44 mA
25. In case of a bipolar transistor b =45. The
potential drop across the collector resistance
of 1 kW is 5V. The base current is
approximately
(a)222m A (b) 55mA (c)111mA (d) 45mA
26. An electron enters an electric field having
intensity E i j k = + + 3 6 2
$ $ $
Vm
-1
and
magnetic field having induction
B i j = + 2 3
$ $
T with a velocityv i j = + 2 3
$ $
ms
-1
.
The magnitude of the force acting on the
electron is
(Given,e = - ´
-
16 10
19
. C)
(a)202 10
18
. ´
-
N (b) 516 10
16
. ´
-
N
(c) 372 10
17
. ´
-
N (d) 441 10
18
. ´
-
N
27. Two coils of self-inductances 6 mH and
8 mH are connected in series and are
adjusted for highest coefficient of coupling.
Equivalent self-inductance L for the assembly
is approximately
(a) 50 mH
(b) 36 mH
(c) 28 mH
(d) 18 mH
28. A 1mF capacitor C is connected to a battery of
10 V through a resistance 1 MW. The voltage
across C after 1 s is approximately
(a) 5.6 V (b) 7.8 V
(c) 6.3 V (d) 10 V
29. Two equal resistances, 400 W each, are
connected in series with a 8 V battery. If the
resistance of first one increases by 0.5%, the
change required in the resistance of the
second one in order to keep the potential
difference across it unaltered is to
(a) increase it by1W
(b) increase it by2W
(c) increase it by 4W
(d) decrease it by 4W
30. Angle between an equipotential surface and
electric lines of force is
(a) 0° (b) 90°
(c) 180° (d) 270°
Category II (Q. 31 to Q. 35) Only one answer is correct. Correct answer will fetch full marks 2. If correct
answer are any combination of more than one answer will fetch -
1
2
mark.
31. A current I I e
t
=
-
0
l
is flowing in a circuit
consisting of a parallel combination of
resistance R and capacitance C. The total
charge over the entire pulse period is
(a)
I
0
l
(b)
2
0
I
l
(c) I
0
l (d)e
I
0
l
32. For Fraunhoffer diffraction to occur
(a) Light source should be at infinity
(b) Both source and screen should be at infinity
(c) Only the source should be at finite distance
(d) Both source and screen should be at finite
distance
33. The temperature of a blackbody radiation
enclosed in a container of volume V is
increased from 100 °C to 1000 °C. The heat
required in the process is
(a) 479 10
4
. ´
-
cal (b) 921 10
5
. ´
-
cal
(c)217 10
4
. ´
-
cal (d)754 10
4
. ´
-
cal
34. A mass of 1 kg is suspended by means of a
thread. The system is (i) lifted up with an
acceleration of 4.9 ms
-2
. (ii) lowered with an
Page 3 of 39
acceleration of 4.9 ms
-2
. The ratio of tension
in the first and second case is
(a) 3 1 : (b)1 2 :
(c)1 3 : (d)2 1 :
35. The effective resistance between A and B in
the figure is
7
12
W if each side of the cube has
1W resistance. The effective resistance
between the same two points, when the link
AB is removed, is
(a)
7
12
W (b)
5
12
W (c)
7
5
W (d)
5
7
W
CategoryIII (Q. 36 to Q. 40) One or more answer (s) is (are) correct. Correct answers will fetch marks 2.
Any combination containing one or more incorrect answer (s) will fetch 0 mark. If all correct answers are
not marked and also no incorrect answer is marked then score = ´ 2 number of correct answers
marked/actual number of correct answers.
36. A charged particle of massm
1
and chargeq
1
is revolving in a circle of radius r. Another
charged particle of chargeq
2
and massm
2
is
situated at the centre of the circle. If the
velocity and time period of the revolving
particle bev andT respectively, then
(a) v
q q r
m
=
1 2
0 1
4pe
(b) v
m
q q
r
=
1
4
1
1 2
0
pe
(c)T
m r
q q
=
16
3
0 1
2 3
1 2
p e
(d)T
m r
q q
=
16
3
0 2
3
1 2
p e
37. The distance between a light source and
photoelectric cell is d. If the distance is
decreased to
d
2
, then
(a) the emission of electron per second will be four
times
(b) maximum kinetic energy of photoelectrons will be
four times
(c) stopping potential will remain same
(d) the emission of electrons per second will be
doubled
38. A train moves from rest with accelerationa
and in time t
1
covers a distance x. It then
decelerates to rest at constant retardation b
for distancey in timet
2
. Then,
(a)
x
y
=
b
a
(b)
b
a
=
t
t
1
2
(c) x y = (d)
x
y
t
t
=
b
a
1
2
39. A drop of water detaches itself from the exit
of a tap when (s = surface tension of water,
r = density of water, R= radius of the tap
exit,r = radius of the drop)
(a) r
R
g
>
æ
è
ç
ö
ø
÷
2
3
1 3
s
r
/
(b) r
g
=
2
3
s
r
(c)
2s
r
> atmospheric pressure
(d) r
R
g
>
æ
è
ç
ö
ø
÷
2
3
2 3
s
r
/
40. A rectangular coil carrying-current is placed
in a non-uniform magnetic field. On that
coil, the total
(a) force is non-zero (b) force is zero
(c) torque is zero (d) torque is non-zero
B
A
Page 4 of 39
Page 5


Physics
Category I (Q.1 to Q.30) Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch -
1
4
mark.
1. Equivalent capacitance between A and B in
the figure is
(a)20mF (b) 8mF
(c)12mF (d)16mF
2. Two wires of same radius having lengthsl
1
andl
2
and resistivitiesr
1
andr
2
are
connected in series. The equivalent
resistivity will be
(a)
r r
r r
1 2 2 1
1 2
l l +
+
(b)
r r
11 2 2
1 2
l l
l l
+
+
(c)
r r
11 2 2
1 2
l l
l l
-
-
(d)
r r
1 2 2 1
1 2
l l
l l
+
+
3. A hollow metal sphere of radius R is charged
with a charge Q. The electric potential and
intensity inside the sphere are respectively
(a)
Q
R 4
0
2
p e
and
Q
R 4
0
p e
(b)
Q
R 4
0
p e
and zero
(c) zero and zero
(d)
4
0
p e Q
R
and
Q
R 4
0
2
p e
4. The potential difference V required for
accelerating an electron to have the
de-Broglie wavelength of 1 Å is
(a) 100 V (b) 125 V
(c) 150 V (d) 200 V
5. The work function of Cesium is 2.27 eV. The
cut-off voltage which stops the emission of
electrons from a cesium cathode irradiated
with light of 600 nm wavelength is
(a) 0.5 V (b) -02 . V
(c) -05 . V (d) 0.2 V
6. The number of de-Broglie wavelengths
contained in the second Bohr orbit of
hydrogen atom is
(a) 1 (b) 2
(c) 3 (d) 4
7. The wavelength of second Balmer line in
hydrogen spectrum is 600 nm. The
wavelength for its third line in Lyman series
is
(a) 800 nm (b) 600 nm
(c) 400 nm (d) 200 nm
8. A ray of light strikes a glass plate at an angle
of 60°. If the reflected and refracted rays are
perpendicular to each other, the refractive
index of glass is
(a)
3
2
(b)
3
2
(c)
1
2
(d) 3
4mF 4mF
4mF
4mF 4mF
A B
C
WB JEE
Engineering Entrance Exam
Solved Paper 2016
Page 1 of 39
9. Light travels through a glass plate of
thicknesst and having refractive indexm. Ifc
be the velocity of light in vacuum, time taken
by the light to travel through this thickness
of glass is
(a)
t
c m
(b)
tc
m
(c)
mt
c
(d)mtc
10. Ifx at bt = +
2
, wherex is in metre( ) m andt is
in hour( ) h , then unit ofb will be
(a)
m
h
2
(b)m
(c)
m
h
(d)
m
h
2
11. The vectors A and B are such that
| | | | A B A B + = - . The angle between the two
vectors will be
(a) 0° (b) 60° (c) 90° (d) 45°
12. At a particular height, the velocity of an
ascending body isu. The velocity at the same
height while the body falls freely is
(a)2 u (b) -u (c)u (d) -2 u
13. Two bodies of masses m
1
and m
2
are
separated by a distance R. The distance of the
centre of mass of the bodies from the mass
m
1
is
(a)
m R
m m
2
1 2
+
(b)
mR
m m
1
1 2
+
(c)
mm
m m
R
1 2
1 2
+
(d)
m m
m
R
1 2
1
+
14. The velocity of sound in air at 20°C and 1 atm
pressure is 344.2 m/s. At 40°C and 2 atm
pressure, the velocity of sound in air is
approximately
(a) 350 m/s (b) 356 m/s
(c) 363 m/s (d) 370 m/s
15. The perfect gas equation for 4 g of hydrogen
gas is
(a) pV RT = (b) pV RT =2
(c) pV RT =
1
2
(d) pV RT = 4
16. If the temperature of the Sun gets doubled,
the rate of energy received on the Earth will
increase by a factor of
(a) 2 (b) 4 (c) 8 (d) 16
17. A particle vibrating simple harmonically has
an acceleration of 16 cms
-2
when it is at a
distance of 4 cm from the mean position. Its
time period is
(a) 1 s (b) 2.572 s
(c) 3.142 s (d) 6.028 s
18. Work done for a certain spring when
stretched through 1 mm is 10 joule. The
amount of work that must be done on the
spring to stretch it further by 1 mm is
(a) 30 J (b) 40 J
(c) 10 J (d) 20 J
19. If the rms velocity of hydrogen gas at a
certain temperature is c, then the rms
velocity of oxygen gas at the same
temperature is
(a)
c
8
(b)
c
10
(c)
c
4
(d)
c
2
20. For air at room temperature, the atmospheric
pressure is10 10
5
. ´ Nm
-2
and density of air
is 1.2 kgm
-3
. For a tube of length 1.0 m,
closed at one end, the lowest frequency
generated is 84 Hz. The value of g
(ratio of two specific heats) for air is
(a) 2.1 (b) 1.5 (c) 1.8 (d) 1.4
21. A gas bubble of 2 cm diameter rises through a
liquid of density 1.75 g cm
-3
with a fixed
speed of 0.35 cms
-1
. Neglect the density of the
gas. The coefficient of viscosity of the liquid is
(a) 870 poise (b) 1120 poise
(c) 982 poise (d) 1089 poise
22. The temperature of the water of a pond
is 0 °C while that of the surrounding
atmosphere is -20 °C. If the density of ice
isr, coefficient of thermal conductivity is k
and latent heat of melting is L, then the
thicknessZ of ice layer formed increases as a
function of timet is
(a) Z
k
L
t
2
60
=
r
(b) Z
k
L
t =
40
r
(c) Z
k
L
t
2
40
=
r
(d) Z
k
L
t
2
40
=
r
Page 2 of 39
23. 1000 droplets of water having 2 mm
diameter each coalesce to form a single drop.
Given the surface tension of water is
0.072 Nm
-1
. The energy loss in the process is
(a) 8146 10
4
. ´
-
J (b) 44 10
4
. ´
-
J
(c)2108 10
5
. ´
-
J (d) 47 10
1
. ´
-
J
24. A Zener diode having break-down voltage
5.6 V is connected in reverse bias with a
battery of emf 10 V and a resistance of100 W
in series. The current flowing through the
Zener diode is
(a) 88 mA (b) 0.88 mA
(c) 4.4 mA (d) 44 mA
25. In case of a bipolar transistor b =45. The
potential drop across the collector resistance
of 1 kW is 5V. The base current is
approximately
(a)222m A (b) 55mA (c)111mA (d) 45mA
26. An electron enters an electric field having
intensity E i j k = + + 3 6 2
$ $ $
Vm
-1
and
magnetic field having induction
B i j = + 2 3
$ $
T with a velocityv i j = + 2 3
$ $
ms
-1
.
The magnitude of the force acting on the
electron is
(Given,e = - ´
-
16 10
19
. C)
(a)202 10
18
. ´
-
N (b) 516 10
16
. ´
-
N
(c) 372 10
17
. ´
-
N (d) 441 10
18
. ´
-
N
27. Two coils of self-inductances 6 mH and
8 mH are connected in series and are
adjusted for highest coefficient of coupling.
Equivalent self-inductance L for the assembly
is approximately
(a) 50 mH
(b) 36 mH
(c) 28 mH
(d) 18 mH
28. A 1mF capacitor C is connected to a battery of
10 V through a resistance 1 MW. The voltage
across C after 1 s is approximately
(a) 5.6 V (b) 7.8 V
(c) 6.3 V (d) 10 V
29. Two equal resistances, 400 W each, are
connected in series with a 8 V battery. If the
resistance of first one increases by 0.5%, the
change required in the resistance of the
second one in order to keep the potential
difference across it unaltered is to
(a) increase it by1W
(b) increase it by2W
(c) increase it by 4W
(d) decrease it by 4W
30. Angle between an equipotential surface and
electric lines of force is
(a) 0° (b) 90°
(c) 180° (d) 270°
Category II (Q. 31 to Q. 35) Only one answer is correct. Correct answer will fetch full marks 2. If correct
answer are any combination of more than one answer will fetch -
1
2
mark.
31. A current I I e
t
=
-
0
l
is flowing in a circuit
consisting of a parallel combination of
resistance R and capacitance C. The total
charge over the entire pulse period is
(a)
I
0
l
(b)
2
0
I
l
(c) I
0
l (d)e
I
0
l
32. For Fraunhoffer diffraction to occur
(a) Light source should be at infinity
(b) Both source and screen should be at infinity
(c) Only the source should be at finite distance
(d) Both source and screen should be at finite
distance
33. The temperature of a blackbody radiation
enclosed in a container of volume V is
increased from 100 °C to 1000 °C. The heat
required in the process is
(a) 479 10
4
. ´
-
cal (b) 921 10
5
. ´
-
cal
(c)217 10
4
. ´
-
cal (d)754 10
4
. ´
-
cal
34. A mass of 1 kg is suspended by means of a
thread. The system is (i) lifted up with an
acceleration of 4.9 ms
-2
. (ii) lowered with an
Page 3 of 39
acceleration of 4.9 ms
-2
. The ratio of tension
in the first and second case is
(a) 3 1 : (b)1 2 :
(c)1 3 : (d)2 1 :
35. The effective resistance between A and B in
the figure is
7
12
W if each side of the cube has
1W resistance. The effective resistance
between the same two points, when the link
AB is removed, is
(a)
7
12
W (b)
5
12
W (c)
7
5
W (d)
5
7
W
CategoryIII (Q. 36 to Q. 40) One or more answer (s) is (are) correct. Correct answers will fetch marks 2.
Any combination containing one or more incorrect answer (s) will fetch 0 mark. If all correct answers are
not marked and also no incorrect answer is marked then score = ´ 2 number of correct answers
marked/actual number of correct answers.
36. A charged particle of massm
1
and chargeq
1
is revolving in a circle of radius r. Another
charged particle of chargeq
2
and massm
2
is
situated at the centre of the circle. If the
velocity and time period of the revolving
particle bev andT respectively, then
(a) v
q q r
m
=
1 2
0 1
4pe
(b) v
m
q q
r
=
1
4
1
1 2
0
pe
(c)T
m r
q q
=
16
3
0 1
2 3
1 2
p e
(d)T
m r
q q
=
16
3
0 2
3
1 2
p e
37. The distance between a light source and
photoelectric cell is d. If the distance is
decreased to
d
2
, then
(a) the emission of electron per second will be four
times
(b) maximum kinetic energy of photoelectrons will be
four times
(c) stopping potential will remain same
(d) the emission of electrons per second will be
doubled
38. A train moves from rest with accelerationa
and in time t
1
covers a distance x. It then
decelerates to rest at constant retardation b
for distancey in timet
2
. Then,
(a)
x
y
=
b
a
(b)
b
a
=
t
t
1
2
(c) x y = (d)
x
y
t
t
=
b
a
1
2
39. A drop of water detaches itself from the exit
of a tap when (s = surface tension of water,
r = density of water, R= radius of the tap
exit,r = radius of the drop)
(a) r
R
g
>
æ
è
ç
ö
ø
÷
2
3
1 3
s
r
/
(b) r
g
=
2
3
s
r
(c)
2s
r
> atmospheric pressure
(d) r
R
g
>
æ
è
ç
ö
ø
÷
2
3
2 3
s
r
/
40. A rectangular coil carrying-current is placed
in a non-uniform magnetic field. On that
coil, the total
(a) force is non-zero (b) force is zero
(c) torque is zero (d) torque is non-zero
B
A
Page 4 of 39
Chemistry
Category I (Q. 1 to Q. 30). Only one answer is correct. Correct answer will fetch full mark 1. Incorrect
answer or any combination of more than one answer will fetch –
1
4
mark.
1. Amongst the following compounds, the one
that will not respond to Cannizzaro reaction
upon treatment with alkali is
(a)Cl CCHO
3
(b)Me CCHO
3
(c)C H CHO
6 5
(d)HCHO
2. Which of the following compounds would
not react with Lucas reagent at room
temperature?
(a)H C= =CHCH OH
2 2
(b)C H CH OH
6 5 2
(c)CH CH CH OH
3 2 2
(d)(CH ) COH
3 3
3. Amongst the following compounds, the one
which would not respond to iodoform test is
(a)CH CH(OH)CH CH
3 2 3
(b)ICH COCH CH
2 2 3
(c)CH COOH
3
(d)CH CHO
3
4. Which of the following will be dehydrated
most readily in alkaline medium?
5. The correct order of basicity of the following
compounds is
(a)1 2 3 4 < < < (b)1 2 4 3 < < <
(c)2 1 3 4 < < < (d) 4 3 2 1 < < <
6. Which of the following reactions will not
result in the formation of carbon-carbon
bonds?
(a) Cannizzaro reaction
(b) Wurtz reaction
(c) Reimer-Tiemann reaction
(d) Friedel-Crafts acylation
7. Point out the false statement.
(a) Colloidal sols are homogeneous
(b) Colloids carry + ve or - ve charges
(c) Colloids show Tyndall effect
(d) The size range of colloidal particles is10 1000 - Å
8. The correct structure of the drug paracetamol is
9. Which of the following statements regarding
Lanthanides is false?
(a) All lanthanides are solid at room temperature
(b) Their usual oxidation state is +3
(c) They can be separated from one another by
ion-exchange method
(d) Ionic radii of trivalent lanthanides steadily
increases with increase in atomic number
10. Nitrogen dioxide is not produced on heating
(a)KNO
3
(b)Pb(NO )
3 2
(c)Cu(NO )
3 2
(d) AgNO
3
11. The boiling points of HF, HCl, HBr and HI
follow the order
(a)HF>HCl>HBr>HI (b)HF>HI>HBr>HCl
(c)HI>HBr>HCl>H (d)HCl>HF>HBr>HI
O
OH
O OH
O
OH
(a) (b)
(c) (d)
OH
NH
2
NH
NH
NH
2
NH
NH
2
H N
2
1 2
3 4
OH
(a) (b)
(c) (d)
CONH
2
OH
NHCOCH
3
Cl
CONH
2
Cl
COCH
3
Page 5 of 39