WBJEE Previous Year Question Paper - 2017 | WBJEE Sample Papers, Section Wise & Full Mock Tests 2026 PDF Download

 Page 1


Category-I (Q.1 to Q. 30)
Direction Only one answer is correct. Correct
answer will fetch full marks 1. Incorrect answer or
any combination of more than one answer will
fetch -
1
4
marks. No answer will fetch 0 marks.
Unless otherwise specified in the question, the
following values should be used.
Mechanical equivalent of heat,J = 4.2 Jcal
-1
Acceleration due to gravity,g = 9.8ms
- 2
Absolute zero temperature = - 273 °C
The following symbols usually carry meaning
as given below
e
0
: electric permittivity of free space
µ
0
: magnetic permeability of free space
R : universal gas constant
1. The velocity of a particle executing a simple
harmonic motion is 13ms
-1
, when its distance
from the equilibrium position( ) Q is 3 m and
its velocity is 12 ms
-1
, when it is 5 m away
fromQ. The frequency of the simple harmonic
motion is
(a)
5
8
p
(b)
5
8p
(c)
8
5
p
(d)
8
5p
2. A uniform string of length L and mass M is
fixed at both ends while it is subject to a
tension T. It can vibrate at frequencies ( ) v
given by the formula (where n = 1, 2, 3, ...)
(a) v
n T
ML
=
2
(b) v
n
L
T
M
=
2
(c) v
n
T
ML
=
1
2
(d) v
n TL
M
=
2
3. A uniform capillary tube of length l and inner
radius r with its upper end sealed is
submerged vertically into water. The outside
pressure is p
0
and surface tension of water is
?. When a length x of the capillary is
submerged into water, it is found that water
levels inside and outside the capillary
coincide. The value of x is
(a)
l
p r
1
4
0
+
?
?
?
?
?
?
?
(b) l
p r
1
4
0
-
?
?
?
?
?
?
?
(c) l
p r
1
2
0
-
?
?
?
?
?
?
?
(d)
l
p r
1
2
0
+
?
?
?
?
?
?
?
4. A liquid of bulk modulus k is compressed by
applying an external pressure such that its
density increases by 0.01%. The pressure
applied on the liquid is
(a)
k
10000
(b)
k
1000
(c)1000k (d) 0.01k
PHYSICS
WB JEE
Engineering Entrance Exam
Solved Paper 2017
Page 1 of 47
Page 2


Category-I (Q.1 to Q. 30)
Direction Only one answer is correct. Correct
answer will fetch full marks 1. Incorrect answer or
any combination of more than one answer will
fetch -
1
4
marks. No answer will fetch 0 marks.
Unless otherwise specified in the question, the
following values should be used.
Mechanical equivalent of heat,J = 4.2 Jcal
-1
Acceleration due to gravity,g = 9.8ms
- 2
Absolute zero temperature = - 273 °C
The following symbols usually carry meaning
as given below
e
0
: electric permittivity of free space
µ
0
: magnetic permeability of free space
R : universal gas constant
1. The velocity of a particle executing a simple
harmonic motion is 13ms
-1
, when its distance
from the equilibrium position( ) Q is 3 m and
its velocity is 12 ms
-1
, when it is 5 m away
fromQ. The frequency of the simple harmonic
motion is
(a)
5
8
p
(b)
5
8p
(c)
8
5
p
(d)
8
5p
2. A uniform string of length L and mass M is
fixed at both ends while it is subject to a
tension T. It can vibrate at frequencies ( ) v
given by the formula (where n = 1, 2, 3, ...)
(a) v
n T
ML
=
2
(b) v
n
L
T
M
=
2
(c) v
n
T
ML
=
1
2
(d) v
n TL
M
=
2
3. A uniform capillary tube of length l and inner
radius r with its upper end sealed is
submerged vertically into water. The outside
pressure is p
0
and surface tension of water is
?. When a length x of the capillary is
submerged into water, it is found that water
levels inside and outside the capillary
coincide. The value of x is
(a)
l
p r
1
4
0
+
?
?
?
?
?
?
?
(b) l
p r
1
4
0
-
?
?
?
?
?
?
?
(c) l
p r
1
2
0
-
?
?
?
?
?
?
?
(d)
l
p r
1
2
0
+
?
?
?
?
?
?
?
4. A liquid of bulk modulus k is compressed by
applying an external pressure such that its
density increases by 0.01%. The pressure
applied on the liquid is
(a)
k
10000
(b)
k
1000
(c)1000k (d) 0.01k
PHYSICS
WB JEE
Engineering Entrance Exam
Solved Paper 2017
Page 1 of 47
5. Temperature of an ideal gas, initially at 27° C,
is raised by 6° C. The rms velocity of the gas
molecules will
(a) increase by nearly 2%
(b) decrease by nearly 2%
(c) increase by nearly 1%
(d) decrease by nearly 1%
6. 2 moles of an ideal monoatomic gas is carried
from a state( , ) p V
0 0
to state( , ) 2 2
0 0
p V along
a straight line path in a p-V diagram. The
amount of heat absorbed by the gas in the
process is given by
(a) 3
0 0
p V (b)
9
2
0 0
p V (c) 6
0 0
p V (d)
3
2
0 0
p V
7. A solid rectangular sheet has two different
coefficients of linear expansion a
1
and a
2
along its length and breadth respectively. The
coefficient of surface expansion is
(for a
1
t <<1, a
2
t <<1 )
(a)
a a
1 2
2
+
(b) 2
1 2
( ) a a +
(c)
4
1 2
1 2
a a
a a +
(d) a a
1 2
+
8. A positive chargeQ is situated at the centre of
a cube. The electric flux through any face of
the cube is (in SI units)
(a)
Q
6
0
e
(b) 4pQ (c)
Q
4
0
pe
(d)
Q
6
0
pe
9. Three capacitors of capacitance 1.0, 2.0 and
5.0 µF are connected in series to a 10 V
source. The potential difference across the
2.0 µF capacitor is
(a)
100
17
V (b)
20
17
V (c)
50
17
V (d)10 V
10. A charge of 0.8 coulomb is divided into two
charges Q
1
and Q
2
. These are kept at a
separation of 30 cm. The force on Q
1
is
maximum when
(a)Q Q
1 2
= = 0.4 C
(b)Q
1
˜ 0.8 C,Q
2
negligible
(c)Q
1
negligible,Q
2
˜ 0.8 C
(d)Q
1
= 0.2 C,Q
2
= 0.6 C
11. The magnetic field due to a current in a
straight wire segment of lengthL at a point on
its perpendicular bisector at a distance
r r L ( ) >>
(a) decreases as
1
r
(b) decreases as
1
2
r
(c) decreases as
1
3
r
(d) approaches a finite limit as r ? 8
12. The magnets of two suspended coil
galvanometers are of the same strength so
that they produce identical uniform magnetic
fields in the region of the coils. The coil of the
first one is in the shape of a square of side a
and that of the second one is circular of radius
a
p
. When the same current is passed through
the coils, the ratio of the torque experienced
by the first coil to that experienced by the
second one is
(a)1
1
:
p
(b)1 1 : (c) p:1 (d)1: p
13. A proton is moving with a uniform velocity of
10
6
ms
-1
along the Y-axis, under the joint
action of a magnetic field alongZ-axis and an
electric field of magnitude 2 10
4
× Vm
-1
along the negative X-axis. If the electric field
is switched off, the proton starts moving in a
circle. The radius of the circle is nearly
given : ratiofor proton 10 Ckg
8
e
m
˜
?
?
?
?
?
?
-1
(a) 0.5 m (b) 0.2 m (c) 0.1 m (d) 0.05 m
14. When the frequency of the AC voltage applied
to a series LCR circuit is gradually increased
from a low value, the impedance of the circuit
(a) monotonically increases
(b) first increases and then decreases
(c) first decreases and then increases
(d) monotonically decreases
15. Six wires, each of resistance r, are connected
so as to form a tetrahedron. The equivalent
resistance of the combination when current
enters through one corner and leaves through
some other corner is
(a) r (b) 2r (c)
r
3
(d)
r
2
Page 2 of 47
Page 3


Category-I (Q.1 to Q. 30)
Direction Only one answer is correct. Correct
answer will fetch full marks 1. Incorrect answer or
any combination of more than one answer will
fetch -
1
4
marks. No answer will fetch 0 marks.
Unless otherwise specified in the question, the
following values should be used.
Mechanical equivalent of heat,J = 4.2 Jcal
-1
Acceleration due to gravity,g = 9.8ms
- 2
Absolute zero temperature = - 273 °C
The following symbols usually carry meaning
as given below
e
0
: electric permittivity of free space
µ
0
: magnetic permeability of free space
R : universal gas constant
1. The velocity of a particle executing a simple
harmonic motion is 13ms
-1
, when its distance
from the equilibrium position( ) Q is 3 m and
its velocity is 12 ms
-1
, when it is 5 m away
fromQ. The frequency of the simple harmonic
motion is
(a)
5
8
p
(b)
5
8p
(c)
8
5
p
(d)
8
5p
2. A uniform string of length L and mass M is
fixed at both ends while it is subject to a
tension T. It can vibrate at frequencies ( ) v
given by the formula (where n = 1, 2, 3, ...)
(a) v
n T
ML
=
2
(b) v
n
L
T
M
=
2
(c) v
n
T
ML
=
1
2
(d) v
n TL
M
=
2
3. A uniform capillary tube of length l and inner
radius r with its upper end sealed is
submerged vertically into water. The outside
pressure is p
0
and surface tension of water is
?. When a length x of the capillary is
submerged into water, it is found that water
levels inside and outside the capillary
coincide. The value of x is
(a)
l
p r
1
4
0
+
?
?
?
?
?
?
?
(b) l
p r
1
4
0
-
?
?
?
?
?
?
?
(c) l
p r
1
2
0
-
?
?
?
?
?
?
?
(d)
l
p r
1
2
0
+
?
?
?
?
?
?
?
4. A liquid of bulk modulus k is compressed by
applying an external pressure such that its
density increases by 0.01%. The pressure
applied on the liquid is
(a)
k
10000
(b)
k
1000
(c)1000k (d) 0.01k
PHYSICS
WB JEE
Engineering Entrance Exam
Solved Paper 2017
Page 1 of 47
5. Temperature of an ideal gas, initially at 27° C,
is raised by 6° C. The rms velocity of the gas
molecules will
(a) increase by nearly 2%
(b) decrease by nearly 2%
(c) increase by nearly 1%
(d) decrease by nearly 1%
6. 2 moles of an ideal monoatomic gas is carried
from a state( , ) p V
0 0
to state( , ) 2 2
0 0
p V along
a straight line path in a p-V diagram. The
amount of heat absorbed by the gas in the
process is given by
(a) 3
0 0
p V (b)
9
2
0 0
p V (c) 6
0 0
p V (d)
3
2
0 0
p V
7. A solid rectangular sheet has two different
coefficients of linear expansion a
1
and a
2
along its length and breadth respectively. The
coefficient of surface expansion is
(for a
1
t <<1, a
2
t <<1 )
(a)
a a
1 2
2
+
(b) 2
1 2
( ) a a +
(c)
4
1 2
1 2
a a
a a +
(d) a a
1 2
+
8. A positive chargeQ is situated at the centre of
a cube. The electric flux through any face of
the cube is (in SI units)
(a)
Q
6
0
e
(b) 4pQ (c)
Q
4
0
pe
(d)
Q
6
0
pe
9. Three capacitors of capacitance 1.0, 2.0 and
5.0 µF are connected in series to a 10 V
source. The potential difference across the
2.0 µF capacitor is
(a)
100
17
V (b)
20
17
V (c)
50
17
V (d)10 V
10. A charge of 0.8 coulomb is divided into two
charges Q
1
and Q
2
. These are kept at a
separation of 30 cm. The force on Q
1
is
maximum when
(a)Q Q
1 2
= = 0.4 C
(b)Q
1
˜ 0.8 C,Q
2
negligible
(c)Q
1
negligible,Q
2
˜ 0.8 C
(d)Q
1
= 0.2 C,Q
2
= 0.6 C
11. The magnetic field due to a current in a
straight wire segment of lengthL at a point on
its perpendicular bisector at a distance
r r L ( ) >>
(a) decreases as
1
r
(b) decreases as
1
2
r
(c) decreases as
1
3
r
(d) approaches a finite limit as r ? 8
12. The magnets of two suspended coil
galvanometers are of the same strength so
that they produce identical uniform magnetic
fields in the region of the coils. The coil of the
first one is in the shape of a square of side a
and that of the second one is circular of radius
a
p
. When the same current is passed through
the coils, the ratio of the torque experienced
by the first coil to that experienced by the
second one is
(a)1
1
:
p
(b)1 1 : (c) p:1 (d)1: p
13. A proton is moving with a uniform velocity of
10
6
ms
-1
along the Y-axis, under the joint
action of a magnetic field alongZ-axis and an
electric field of magnitude 2 10
4
× Vm
-1
along the negative X-axis. If the electric field
is switched off, the proton starts moving in a
circle. The radius of the circle is nearly
given : ratiofor proton 10 Ckg
8
e
m
˜
?
?
?
?
?
?
-1
(a) 0.5 m (b) 0.2 m (c) 0.1 m (d) 0.05 m
14. When the frequency of the AC voltage applied
to a series LCR circuit is gradually increased
from a low value, the impedance of the circuit
(a) monotonically increases
(b) first increases and then decreases
(c) first decreases and then increases
(d) monotonically decreases
15. Six wires, each of resistance r, are connected
so as to form a tetrahedron. The equivalent
resistance of the combination when current
enters through one corner and leaves through
some other corner is
(a) r (b) 2r (c)
r
3
(d)
r
2
Page 2 of 47
16. Consider the circuit shown in the figure.
The value of the resistance X for which the
thermal power generated in it is practically
independent of small variation of its
resistance is
(a) X R = (b) X
R
=
3
(c) X
R
=
2
(d) X R = 2
17.
Consider the circuit shown in the figure where
all the resistances are of magnitude 1 kO. If
the current in the extreme right resistanceX is
1 mA, the potential difference betweenA and
B is
(a) 34 V (b) 21 V
(c) 68 V (d) 55 V
18. The ratio of the diameter of the sun to the
distance between the earth and the sun is
approximately 0.009. The approximate
diameter of the image of the sun formed by a
concave spherical mirror of radius of
curvature 0.4 m is
(a) 4.5 10 ×
- 6
m (b) 4.0 10 ×
- 6
m
(c) 36 10
3
. ×
-
m (d)1.8 10 ×
- 3
m
19. Two monochromatic coherent light beams A
andB have intensitiesL and
L
4
, respectively. If
these beams are superposed, the maximum
and minimum intensities will be
(a)
9
4
L
,
L
4
(b)
5
4
L
, 0
(c)
5
2
L
, 0 (d) 2
2
L
L
,
20. A point object is held above a thin equiconvex
lens at its focus. The focal length is 0.1 m and
the lens rests on a horizontal thin plane
mirror. The final image will be formed at
(a) infinite distance above the lens
(b) 0.1 m above the center of the lens
(c) infinite distance below the lens
(d) 0.1 m below the center of the lens
21.
A parallel beam of light is incident on a glass
prism in the shape of a quarter cylinder of
radius R = 0.05 m and refractive index
n =1.5, placed on a horizontal table as shown
in the figure. Beyond the cylinder, a patch of
light is found whose the nearest distance x
from the cylinder is
(a)( ) 3 3 4 10
2
- ×
-
m
(b)( ) 2 3 2 10
2
- ×
-
m
(c)( ) 3 5 5 10
2
- ×
-
m
(d)( ) 3 2 3 10
2
- ×
-
m
22. The de-Broglie wavelength of an electron is
0.4 10 ×
-10
m when its kinetic energy is
1.0 keV. Its wavelength will be1.0 10 ×
-10
m,
when its kinetic energy is
(a) 0.2 keV (b) 0.8 keV
(c) 0.63 keV (d) 0.16 keV
23. When light of frequency v
1
is incident on a
metal with work functionW (wherehv W
1
> ),
then photocurrent falls to zero at a stopping
potential of V
1
. If the frequency of light is
increased to v
2
, the stopping potential
changes to V
2
. Therefore, the charge of an
electron is given by
(a)
W v v
v V v V
( )
2 1
1 2 2 1
+
+
(b)
W v v
v V v V
( )
2 1
1 1 2 2
+
+
(c)
W v v
v V v V
( )
2 1
1 2 2 1
-
-
(d)
W v v
v V v V
( )
2 1
2 2 1 1
-
-
24. Radon-222 has a half-life of 3.8 days. If one
starts with 0.064 kg of radon-222, the
quantity of radon-222 left after 19 days will
be
(a) 0.002 kg (b) 0.062 kg
(c) 0.032 kg (d) 0.024 kg
A
B
X
n
R
x
R
E
R X
Page 3 of 47
Page 4


Category-I (Q.1 to Q. 30)
Direction Only one answer is correct. Correct
answer will fetch full marks 1. Incorrect answer or
any combination of more than one answer will
fetch -
1
4
marks. No answer will fetch 0 marks.
Unless otherwise specified in the question, the
following values should be used.
Mechanical equivalent of heat,J = 4.2 Jcal
-1
Acceleration due to gravity,g = 9.8ms
- 2
Absolute zero temperature = - 273 °C
The following symbols usually carry meaning
as given below
e
0
: electric permittivity of free space
µ
0
: magnetic permeability of free space
R : universal gas constant
1. The velocity of a particle executing a simple
harmonic motion is 13ms
-1
, when its distance
from the equilibrium position( ) Q is 3 m and
its velocity is 12 ms
-1
, when it is 5 m away
fromQ. The frequency of the simple harmonic
motion is
(a)
5
8
p
(b)
5
8p
(c)
8
5
p
(d)
8
5p
2. A uniform string of length L and mass M is
fixed at both ends while it is subject to a
tension T. It can vibrate at frequencies ( ) v
given by the formula (where n = 1, 2, 3, ...)
(a) v
n T
ML
=
2
(b) v
n
L
T
M
=
2
(c) v
n
T
ML
=
1
2
(d) v
n TL
M
=
2
3. A uniform capillary tube of length l and inner
radius r with its upper end sealed is
submerged vertically into water. The outside
pressure is p
0
and surface tension of water is
?. When a length x of the capillary is
submerged into water, it is found that water
levels inside and outside the capillary
coincide. The value of x is
(a)
l
p r
1
4
0
+
?
?
?
?
?
?
?
(b) l
p r
1
4
0
-
?
?
?
?
?
?
?
(c) l
p r
1
2
0
-
?
?
?
?
?
?
?
(d)
l
p r
1
2
0
+
?
?
?
?
?
?
?
4. A liquid of bulk modulus k is compressed by
applying an external pressure such that its
density increases by 0.01%. The pressure
applied on the liquid is
(a)
k
10000
(b)
k
1000
(c)1000k (d) 0.01k
PHYSICS
WB JEE
Engineering Entrance Exam
Solved Paper 2017
Page 1 of 47
5. Temperature of an ideal gas, initially at 27° C,
is raised by 6° C. The rms velocity of the gas
molecules will
(a) increase by nearly 2%
(b) decrease by nearly 2%
(c) increase by nearly 1%
(d) decrease by nearly 1%
6. 2 moles of an ideal monoatomic gas is carried
from a state( , ) p V
0 0
to state( , ) 2 2
0 0
p V along
a straight line path in a p-V diagram. The
amount of heat absorbed by the gas in the
process is given by
(a) 3
0 0
p V (b)
9
2
0 0
p V (c) 6
0 0
p V (d)
3
2
0 0
p V
7. A solid rectangular sheet has two different
coefficients of linear expansion a
1
and a
2
along its length and breadth respectively. The
coefficient of surface expansion is
(for a
1
t <<1, a
2
t <<1 )
(a)
a a
1 2
2
+
(b) 2
1 2
( ) a a +
(c)
4
1 2
1 2
a a
a a +
(d) a a
1 2
+
8. A positive chargeQ is situated at the centre of
a cube. The electric flux through any face of
the cube is (in SI units)
(a)
Q
6
0
e
(b) 4pQ (c)
Q
4
0
pe
(d)
Q
6
0
pe
9. Three capacitors of capacitance 1.0, 2.0 and
5.0 µF are connected in series to a 10 V
source. The potential difference across the
2.0 µF capacitor is
(a)
100
17
V (b)
20
17
V (c)
50
17
V (d)10 V
10. A charge of 0.8 coulomb is divided into two
charges Q
1
and Q
2
. These are kept at a
separation of 30 cm. The force on Q
1
is
maximum when
(a)Q Q
1 2
= = 0.4 C
(b)Q
1
˜ 0.8 C,Q
2
negligible
(c)Q
1
negligible,Q
2
˜ 0.8 C
(d)Q
1
= 0.2 C,Q
2
= 0.6 C
11. The magnetic field due to a current in a
straight wire segment of lengthL at a point on
its perpendicular bisector at a distance
r r L ( ) >>
(a) decreases as
1
r
(b) decreases as
1
2
r
(c) decreases as
1
3
r
(d) approaches a finite limit as r ? 8
12. The magnets of two suspended coil
galvanometers are of the same strength so
that they produce identical uniform magnetic
fields in the region of the coils. The coil of the
first one is in the shape of a square of side a
and that of the second one is circular of radius
a
p
. When the same current is passed through
the coils, the ratio of the torque experienced
by the first coil to that experienced by the
second one is
(a)1
1
:
p
(b)1 1 : (c) p:1 (d)1: p
13. A proton is moving with a uniform velocity of
10
6
ms
-1
along the Y-axis, under the joint
action of a magnetic field alongZ-axis and an
electric field of magnitude 2 10
4
× Vm
-1
along the negative X-axis. If the electric field
is switched off, the proton starts moving in a
circle. The radius of the circle is nearly
given : ratiofor proton 10 Ckg
8
e
m
˜
?
?
?
?
?
?
-1
(a) 0.5 m (b) 0.2 m (c) 0.1 m (d) 0.05 m
14. When the frequency of the AC voltage applied
to a series LCR circuit is gradually increased
from a low value, the impedance of the circuit
(a) monotonically increases
(b) first increases and then decreases
(c) first decreases and then increases
(d) monotonically decreases
15. Six wires, each of resistance r, are connected
so as to form a tetrahedron. The equivalent
resistance of the combination when current
enters through one corner and leaves through
some other corner is
(a) r (b) 2r (c)
r
3
(d)
r
2
Page 2 of 47
16. Consider the circuit shown in the figure.
The value of the resistance X for which the
thermal power generated in it is practically
independent of small variation of its
resistance is
(a) X R = (b) X
R
=
3
(c) X
R
=
2
(d) X R = 2
17.
Consider the circuit shown in the figure where
all the resistances are of magnitude 1 kO. If
the current in the extreme right resistanceX is
1 mA, the potential difference betweenA and
B is
(a) 34 V (b) 21 V
(c) 68 V (d) 55 V
18. The ratio of the diameter of the sun to the
distance between the earth and the sun is
approximately 0.009. The approximate
diameter of the image of the sun formed by a
concave spherical mirror of radius of
curvature 0.4 m is
(a) 4.5 10 ×
- 6
m (b) 4.0 10 ×
- 6
m
(c) 36 10
3
. ×
-
m (d)1.8 10 ×
- 3
m
19. Two monochromatic coherent light beams A
andB have intensitiesL and
L
4
, respectively. If
these beams are superposed, the maximum
and minimum intensities will be
(a)
9
4
L
,
L
4
(b)
5
4
L
, 0
(c)
5
2
L
, 0 (d) 2
2
L
L
,
20. A point object is held above a thin equiconvex
lens at its focus. The focal length is 0.1 m and
the lens rests on a horizontal thin plane
mirror. The final image will be formed at
(a) infinite distance above the lens
(b) 0.1 m above the center of the lens
(c) infinite distance below the lens
(d) 0.1 m below the center of the lens
21.
A parallel beam of light is incident on a glass
prism in the shape of a quarter cylinder of
radius R = 0.05 m and refractive index
n =1.5, placed on a horizontal table as shown
in the figure. Beyond the cylinder, a patch of
light is found whose the nearest distance x
from the cylinder is
(a)( ) 3 3 4 10
2
- ×
-
m
(b)( ) 2 3 2 10
2
- ×
-
m
(c)( ) 3 5 5 10
2
- ×
-
m
(d)( ) 3 2 3 10
2
- ×
-
m
22. The de-Broglie wavelength of an electron is
0.4 10 ×
-10
m when its kinetic energy is
1.0 keV. Its wavelength will be1.0 10 ×
-10
m,
when its kinetic energy is
(a) 0.2 keV (b) 0.8 keV
(c) 0.63 keV (d) 0.16 keV
23. When light of frequency v
1
is incident on a
metal with work functionW (wherehv W
1
> ),
then photocurrent falls to zero at a stopping
potential of V
1
. If the frequency of light is
increased to v
2
, the stopping potential
changes to V
2
. Therefore, the charge of an
electron is given by
(a)
W v v
v V v V
( )
2 1
1 2 2 1
+
+
(b)
W v v
v V v V
( )
2 1
1 1 2 2
+
+
(c)
W v v
v V v V
( )
2 1
1 2 2 1
-
-
(d)
W v v
v V v V
( )
2 1
2 2 1 1
-
-
24. Radon-222 has a half-life of 3.8 days. If one
starts with 0.064 kg of radon-222, the
quantity of radon-222 left after 19 days will
be
(a) 0.002 kg (b) 0.062 kg
(c) 0.032 kg (d) 0.024 kg
A
B
X
n
R
x
R
E
R X
Page 3 of 47
25.
In the given circuit, the binary inputs atA and
B are both 1 in one case and both 0 in the next
case. The respective outputs atY in these two
cases will be
(a) 1, 1 (b) 0, 0
(c) 0, 1 (d) 1, 0
26. When a semiconducting device is connected
in series with a battery and a resistance, a
current is found to flow in the circuit. If
however, the polarity of the battery is
reversed, practically no current flows in the
circuit. The device may be
(a) a p-type semiconductor
(b) a n-type semiconductor
(c) an intrinsic semiconductor
(d) a p-n junction
27. The dimension of the universal constant of
gravitation,G is
(a)[ ] MLT
2 1 -
(b)[M LT
- - 1 3 2
]
(c)[M LT
- - 1 2 2
] (d)[MLT
3 - 2
]
28. Two particles A and B (both initially at rest)
start moving towards each other under a
mutual force of attraction. At the instant,
when the speed ofA isv and the speed ofB is
2v, the speed of the centre of mass is
(a) zero (b) v
(c)
3
2
v
(d) -
3
2
v
29. Three vectors A i j k = + + a ; B i j k = + + b
andC i j k = + + c are mutually perpendicular
(i, j and k are unit vectors along X, Y andZ-
axes respectively). The respective values of a,
b and c are
(a) 0, 0, 0 (b) - - -
1
2
1
2
1
2
, ,
(c)1 1 1 , , - (d)
1
2
1
2
1
2
, ,
30. A block of mass 1 kg starts from rest at x = 0
and moves along the X-axis under the action
of a force F kt = , where t is time and
k =1Ns
-1
. The distance the block will travel
in 6 seconds is
(a) 36 m (b) 72 m
(c) 108 m (d) 18 m
Category-II (Q. 31 to Q. 35)
Direction Only one answer is correct. Correct
answer will fetch full marks 2. Incorrect answer or
any combination of more than one answer will
fetch -
1
2
marks. No answer will fetch 0 marks.
31. A particle with chargeQ coulomb, tied at the
end of an inextensible string of length
R metre, revolves in a vertical plane. At the
centre of the circular trajectory, there is a
fixed charge of magnitude Q coulomb. The
mass of the moving charge M is such that
Mg
Q
R
=
2
0
2
4pe
. If at the highest position of the
particle, the tension of the string just
vanishes, the horizontal velocity at the lowest
point has to be
(a) 0 (b) 2 gR (c) 2gR (d) 5gR
32. A bullet of mass 4.2 10 ×
- 2
kg, moving at a
speed of 300 ms
-1
, gets stuck into a block
with a mass 9 times that of the bullet. If the
block is free to move without any kind of
friction, the heat generated in the process
will be
(a) 45 cal (b) 405 cal
(c) 450 cal (d) 1701 cal
33. A particle with charge e and mass m, moving
along the X-axis with a uniform speed u,
enters a region where a uniform electric field
E is acting along theY-axis. The particle starts
to move in a parabola. Its focal length
(neglecting any effect of gravity) is
(a)
2
2
mu
eE
(b)
eE
mu 2
2
(c)
mu
eE 2
(d)
mu
eE
2
2
34. A unit negative charge with massM resides at
the mid-point of the straight line of length 2a
adjoining two fixed charges of magnitude +Q
each. If it is given a very small displacement
x x a ( ) << in a direction perpendicular to the
straight line, it will
A
B
Y
1
1
1
1
1
0
0
0
0
Page 4 of 47
Page 5


Category-I (Q.1 to Q. 30)
Direction Only one answer is correct. Correct
answer will fetch full marks 1. Incorrect answer or
any combination of more than one answer will
fetch -
1
4
marks. No answer will fetch 0 marks.
Unless otherwise specified in the question, the
following values should be used.
Mechanical equivalent of heat,J = 4.2 Jcal
-1
Acceleration due to gravity,g = 9.8ms
- 2
Absolute zero temperature = - 273 °C
The following symbols usually carry meaning
as given below
e
0
: electric permittivity of free space
µ
0
: magnetic permeability of free space
R : universal gas constant
1. The velocity of a particle executing a simple
harmonic motion is 13ms
-1
, when its distance
from the equilibrium position( ) Q is 3 m and
its velocity is 12 ms
-1
, when it is 5 m away
fromQ. The frequency of the simple harmonic
motion is
(a)
5
8
p
(b)
5
8p
(c)
8
5
p
(d)
8
5p
2. A uniform string of length L and mass M is
fixed at both ends while it is subject to a
tension T. It can vibrate at frequencies ( ) v
given by the formula (where n = 1, 2, 3, ...)
(a) v
n T
ML
=
2
(b) v
n
L
T
M
=
2
(c) v
n
T
ML
=
1
2
(d) v
n TL
M
=
2
3. A uniform capillary tube of length l and inner
radius r with its upper end sealed is
submerged vertically into water. The outside
pressure is p
0
and surface tension of water is
?. When a length x of the capillary is
submerged into water, it is found that water
levels inside and outside the capillary
coincide. The value of x is
(a)
l
p r
1
4
0
+
?
?
?
?
?
?
?
(b) l
p r
1
4
0
-
?
?
?
?
?
?
?
(c) l
p r
1
2
0
-
?
?
?
?
?
?
?
(d)
l
p r
1
2
0
+
?
?
?
?
?
?
?
4. A liquid of bulk modulus k is compressed by
applying an external pressure such that its
density increases by 0.01%. The pressure
applied on the liquid is
(a)
k
10000
(b)
k
1000
(c)1000k (d) 0.01k
PHYSICS
WB JEE
Engineering Entrance Exam
Solved Paper 2017
Page 1 of 47
5. Temperature of an ideal gas, initially at 27° C,
is raised by 6° C. The rms velocity of the gas
molecules will
(a) increase by nearly 2%
(b) decrease by nearly 2%
(c) increase by nearly 1%
(d) decrease by nearly 1%
6. 2 moles of an ideal monoatomic gas is carried
from a state( , ) p V
0 0
to state( , ) 2 2
0 0
p V along
a straight line path in a p-V diagram. The
amount of heat absorbed by the gas in the
process is given by
(a) 3
0 0
p V (b)
9
2
0 0
p V (c) 6
0 0
p V (d)
3
2
0 0
p V
7. A solid rectangular sheet has two different
coefficients of linear expansion a
1
and a
2
along its length and breadth respectively. The
coefficient of surface expansion is
(for a
1
t <<1, a
2
t <<1 )
(a)
a a
1 2
2
+
(b) 2
1 2
( ) a a +
(c)
4
1 2
1 2
a a
a a +
(d) a a
1 2
+
8. A positive chargeQ is situated at the centre of
a cube. The electric flux through any face of
the cube is (in SI units)
(a)
Q
6
0
e
(b) 4pQ (c)
Q
4
0
pe
(d)
Q
6
0
pe
9. Three capacitors of capacitance 1.0, 2.0 and
5.0 µF are connected in series to a 10 V
source. The potential difference across the
2.0 µF capacitor is
(a)
100
17
V (b)
20
17
V (c)
50
17
V (d)10 V
10. A charge of 0.8 coulomb is divided into two
charges Q
1
and Q
2
. These are kept at a
separation of 30 cm. The force on Q
1
is
maximum when
(a)Q Q
1 2
= = 0.4 C
(b)Q
1
˜ 0.8 C,Q
2
negligible
(c)Q
1
negligible,Q
2
˜ 0.8 C
(d)Q
1
= 0.2 C,Q
2
= 0.6 C
11. The magnetic field due to a current in a
straight wire segment of lengthL at a point on
its perpendicular bisector at a distance
r r L ( ) >>
(a) decreases as
1
r
(b) decreases as
1
2
r
(c) decreases as
1
3
r
(d) approaches a finite limit as r ? 8
12. The magnets of two suspended coil
galvanometers are of the same strength so
that they produce identical uniform magnetic
fields in the region of the coils. The coil of the
first one is in the shape of a square of side a
and that of the second one is circular of radius
a
p
. When the same current is passed through
the coils, the ratio of the torque experienced
by the first coil to that experienced by the
second one is
(a)1
1
:
p
(b)1 1 : (c) p:1 (d)1: p
13. A proton is moving with a uniform velocity of
10
6
ms
-1
along the Y-axis, under the joint
action of a magnetic field alongZ-axis and an
electric field of magnitude 2 10
4
× Vm
-1
along the negative X-axis. If the electric field
is switched off, the proton starts moving in a
circle. The radius of the circle is nearly
given : ratiofor proton 10 Ckg
8
e
m
˜
?
?
?
?
?
?
-1
(a) 0.5 m (b) 0.2 m (c) 0.1 m (d) 0.05 m
14. When the frequency of the AC voltage applied
to a series LCR circuit is gradually increased
from a low value, the impedance of the circuit
(a) monotonically increases
(b) first increases and then decreases
(c) first decreases and then increases
(d) monotonically decreases
15. Six wires, each of resistance r, are connected
so as to form a tetrahedron. The equivalent
resistance of the combination when current
enters through one corner and leaves through
some other corner is
(a) r (b) 2r (c)
r
3
(d)
r
2
Page 2 of 47
16. Consider the circuit shown in the figure.
The value of the resistance X for which the
thermal power generated in it is practically
independent of small variation of its
resistance is
(a) X R = (b) X
R
=
3
(c) X
R
=
2
(d) X R = 2
17.
Consider the circuit shown in the figure where
all the resistances are of magnitude 1 kO. If
the current in the extreme right resistanceX is
1 mA, the potential difference betweenA and
B is
(a) 34 V (b) 21 V
(c) 68 V (d) 55 V
18. The ratio of the diameter of the sun to the
distance between the earth and the sun is
approximately 0.009. The approximate
diameter of the image of the sun formed by a
concave spherical mirror of radius of
curvature 0.4 m is
(a) 4.5 10 ×
- 6
m (b) 4.0 10 ×
- 6
m
(c) 36 10
3
. ×
-
m (d)1.8 10 ×
- 3
m
19. Two monochromatic coherent light beams A
andB have intensitiesL and
L
4
, respectively. If
these beams are superposed, the maximum
and minimum intensities will be
(a)
9
4
L
,
L
4
(b)
5
4
L
, 0
(c)
5
2
L
, 0 (d) 2
2
L
L
,
20. A point object is held above a thin equiconvex
lens at its focus. The focal length is 0.1 m and
the lens rests on a horizontal thin plane
mirror. The final image will be formed at
(a) infinite distance above the lens
(b) 0.1 m above the center of the lens
(c) infinite distance below the lens
(d) 0.1 m below the center of the lens
21.
A parallel beam of light is incident on a glass
prism in the shape of a quarter cylinder of
radius R = 0.05 m and refractive index
n =1.5, placed on a horizontal table as shown
in the figure. Beyond the cylinder, a patch of
light is found whose the nearest distance x
from the cylinder is
(a)( ) 3 3 4 10
2
- ×
-
m
(b)( ) 2 3 2 10
2
- ×
-
m
(c)( ) 3 5 5 10
2
- ×
-
m
(d)( ) 3 2 3 10
2
- ×
-
m
22. The de-Broglie wavelength of an electron is
0.4 10 ×
-10
m when its kinetic energy is
1.0 keV. Its wavelength will be1.0 10 ×
-10
m,
when its kinetic energy is
(a) 0.2 keV (b) 0.8 keV
(c) 0.63 keV (d) 0.16 keV
23. When light of frequency v
1
is incident on a
metal with work functionW (wherehv W
1
> ),
then photocurrent falls to zero at a stopping
potential of V
1
. If the frequency of light is
increased to v
2
, the stopping potential
changes to V
2
. Therefore, the charge of an
electron is given by
(a)
W v v
v V v V
( )
2 1
1 2 2 1
+
+
(b)
W v v
v V v V
( )
2 1
1 1 2 2
+
+
(c)
W v v
v V v V
( )
2 1
1 2 2 1
-
-
(d)
W v v
v V v V
( )
2 1
2 2 1 1
-
-
24. Radon-222 has a half-life of 3.8 days. If one
starts with 0.064 kg of radon-222, the
quantity of radon-222 left after 19 days will
be
(a) 0.002 kg (b) 0.062 kg
(c) 0.032 kg (d) 0.024 kg
A
B
X
n
R
x
R
E
R X
Page 3 of 47
25.
In the given circuit, the binary inputs atA and
B are both 1 in one case and both 0 in the next
case. The respective outputs atY in these two
cases will be
(a) 1, 1 (b) 0, 0
(c) 0, 1 (d) 1, 0
26. When a semiconducting device is connected
in series with a battery and a resistance, a
current is found to flow in the circuit. If
however, the polarity of the battery is
reversed, practically no current flows in the
circuit. The device may be
(a) a p-type semiconductor
(b) a n-type semiconductor
(c) an intrinsic semiconductor
(d) a p-n junction
27. The dimension of the universal constant of
gravitation,G is
(a)[ ] MLT
2 1 -
(b)[M LT
- - 1 3 2
]
(c)[M LT
- - 1 2 2
] (d)[MLT
3 - 2
]
28. Two particles A and B (both initially at rest)
start moving towards each other under a
mutual force of attraction. At the instant,
when the speed ofA isv and the speed ofB is
2v, the speed of the centre of mass is
(a) zero (b) v
(c)
3
2
v
(d) -
3
2
v
29. Three vectors A i j k = + + a ; B i j k = + + b
andC i j k = + + c are mutually perpendicular
(i, j and k are unit vectors along X, Y andZ-
axes respectively). The respective values of a,
b and c are
(a) 0, 0, 0 (b) - - -
1
2
1
2
1
2
, ,
(c)1 1 1 , , - (d)
1
2
1
2
1
2
, ,
30. A block of mass 1 kg starts from rest at x = 0
and moves along the X-axis under the action
of a force F kt = , where t is time and
k =1Ns
-1
. The distance the block will travel
in 6 seconds is
(a) 36 m (b) 72 m
(c) 108 m (d) 18 m
Category-II (Q. 31 to Q. 35)
Direction Only one answer is correct. Correct
answer will fetch full marks 2. Incorrect answer or
any combination of more than one answer will
fetch -
1
2
marks. No answer will fetch 0 marks.
31. A particle with chargeQ coulomb, tied at the
end of an inextensible string of length
R metre, revolves in a vertical plane. At the
centre of the circular trajectory, there is a
fixed charge of magnitude Q coulomb. The
mass of the moving charge M is such that
Mg
Q
R
=
2
0
2
4pe
. If at the highest position of the
particle, the tension of the string just
vanishes, the horizontal velocity at the lowest
point has to be
(a) 0 (b) 2 gR (c) 2gR (d) 5gR
32. A bullet of mass 4.2 10 ×
- 2
kg, moving at a
speed of 300 ms
-1
, gets stuck into a block
with a mass 9 times that of the bullet. If the
block is free to move without any kind of
friction, the heat generated in the process
will be
(a) 45 cal (b) 405 cal
(c) 450 cal (d) 1701 cal
33. A particle with charge e and mass m, moving
along the X-axis with a uniform speed u,
enters a region where a uniform electric field
E is acting along theY-axis. The particle starts
to move in a parabola. Its focal length
(neglecting any effect of gravity) is
(a)
2
2
mu
eE
(b)
eE
mu 2
2
(c)
mu
eE 2
(d)
mu
eE
2
2
34. A unit negative charge with massM resides at
the mid-point of the straight line of length 2a
adjoining two fixed charges of magnitude +Q
each. If it is given a very small displacement
x x a ( ) << in a direction perpendicular to the
straight line, it will
A
B
Y
1
1
1
1
1
0
0
0
0
Page 4 of 47
(a) come back to its original position and
stay there
(b) execute oscillations with frequency
1
2 4
0
3
p pe
Q
Ma
(c) fly to infinity
(d) execute oscillations with frequency
1
2 4
0
2
p pe
Q
Ma
35. Consider the circuit given here. The potential
difference V
BC
between the points B andC is
(a) 1 V (b) 0.5 V (c) 0 V (d) -1 V
Category-III (Q. 36 to Q. 40)
Direction One or more answer(s) is (are)
correct. Correct answer(s) will fetch full marks 2.
Any combination containing one or more
incorrect answer will fetch 0 marks. Also, no
answer will fetch 0 marks. 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. If the pressure, temperature and density of an
ideal gas are denoted by p, T and ?,
respectively, the velocity of sound in the gas is
(a) proportional to p, when T is constant.
(b) proportional to T.
(c) proportional to p, when ? is constant.
(d) proportional to T.
37. Two long parallel wires separated by 0.1 m
carry currents of 1 A and 2 A, respectively in
opposite directions. A third current-carrying
wire parallel to both of them is placed in the
same plane such that it feels no net magnetic
force. It is placed at a distance of
(a) 0.5 m from the 1st wire, towards the
2nd wire
(b) 0.2 m from the 1st wire, towards the
2nd wire
(c) 0.1 m from the 1st wire, away from the
2nd wire
(d) 0.2 m from the 1st  wire, away from the
2nd wire
38. If ? stands for the magnetic susceptibility of a
substance, µ for its magnetic permeability and
µ
0
for the permeability of free space, then
(a) for a paramagnetic substance: ? < 0,
µ > 0
(b) for a paramagnetic substance: ? > 0,
µ µ
0
>
(c) for a diamagnetic substance: ? > 0, µ < 0
(d) for a ferromagnetic substance: ? >1,
µ µ
0
>
39. Let v
n
and E
n
be the respective speed and
energy of an electron in thenth orbit of radius
r
n
, in a hydrogen atom, as predicted by Bohr’s
model. Then.
(a) plot of
E r
E r
n n
1 1
as a function of n is a
straight line of slope 0
(b) plot of
r v
r v
n n
1 1
as a function of n is a
straight line of slope 1
(c) plot of ln
r
r
n
1
?
?
?
?
?
?
as a function of ln( ) n is a
straight line of slope 2
(d) plot of ln
r E
E r
n
n
1
1
?
?
?
?
?
?
as a function of ln( ) n is
a straight line of slope 4
40. A small steel ball bounces on a steel plate held
horizontally. On each bounce the speed of the
ball arriving at the plate is reduced by a factor
e(coefficient of restitution) in the rebound, so
that V eV
upward downward
=
If the ball is initially dropped from a height of
0.4 m above the plate and if 10 seconds later
the bouncing ceases, the value of e is
(a)
2
7
(b)
3
4
(c)
13
18
(d)
17
18
C
B
D A
1kO 2kO
3kO
1 F µ 2 F µ
3V
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