JEE Main 2022 Question Paper 24 June Shift 2 | JEE Main & Advanced Previous Year Papers PDF Download

 Page 1


1 
FINAL JEE–MAIN EXAMINATION – JUNE, 2022 
(Held On Friday 24
th
 June, 2022) TIME : 3 : 00 PM  to  6 : 00 PM
PHYSICS TEST PAPER WITH SOLUTION
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
 
 
SECTION-A 
1. Identify the pair of physical quantities that have
same dimensions :
(A) velocity gradient and decay constant
(B) wien's constant and Stefan constant
(C) angular frequency and angular momentum
(D) wave number and Avogadro number
Official Ans. by NTA (A)
Sol. Velocity gradient  = 
dV1
dxS
=
1
S
l=
2. The distance between Sun and Earth is R. The
duration of year if the distance between Sun and
Earth becomes 3R will be :
(A) 3 years (B) 3 years
(C) 9 years (D)33 years
Official Ans. by NTA (D) 
 
Sol. 
æö
¢ =
ç÷
èø
3/2
3R
TT
R
= 33 T 
3. A stone of mass m, tied to a string is being whirled
in a vertical circle with a uniform speed. The
tension in the string is :
(A) the same throughout the motion
(B) minimum at the highest position of the circular
path
(C) minimum at the lowest position of the circular
path
(D) minimum when the rope is in the horizontal
position
Official Ans. by NTA (B) 
 
Sol. Theory 
4. Two identical charged particles each having a mass
10 g and charge 2.0 × 10
–7
 C area placed on a
horizontal table with a separation of L between
then such that they stay in limited equilibrium.
If the coefficient of friction between each
particle and the table is 0.25, find the value of L.
[Use g = 10 ms
–2
]
(A) 12 cm (B) 10 cm
(C) 8 cm (D) 5 cm
Official Ans. by NTA (A)
Sol. 
2
2
kq
mg
L
=m Þ =
m
k
Lq
mg
5. A Carnot engine take 5000 kcal of heat from a
reservoir at 727°C and gives heat to a sink at
127°C. The  work done by the engine is :
(A) 3 × 10
6
 J (B) Zero
(C) 12.6 × 10
6
 J (D) 8.4 × 10
6
 J
Official Ans. by NTA (C)
Sol. 
H
WD
L
Q
=
Þ 
L
H
H
T
WD Q1
T
æö
=-
ç÷
èø
æö
=´-
ç÷
èø
3
400
5101
1000
 
     =3000 kcal 
6. Two massless springs with spring constants 2 k
and 2 k, carry 50 g and 100 g masses at their free
ends. These two masses oscillate vertically such
that their maximum velocities are equal. Then, the
ratio of their respective amplitudes will be :
(A) 1 : 2 (B) 3 : 2
(C) 3 : 1 (D) 2 : 3
Official Ans. by NTA (B)
Sol. =w
max
VA
Þ 
w
=
w
12
21
A
A
= ´=
9 13
2 22
Page 2


1 
FINAL JEE–MAIN EXAMINATION – JUNE, 2022 
(Held On Friday 24
th
 June, 2022) TIME : 3 : 00 PM  to  6 : 00 PM
PHYSICS TEST PAPER WITH SOLUTION
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
 
 
SECTION-A 
1. Identify the pair of physical quantities that have
same dimensions :
(A) velocity gradient and decay constant
(B) wien's constant and Stefan constant
(C) angular frequency and angular momentum
(D) wave number and Avogadro number
Official Ans. by NTA (A)
Sol. Velocity gradient  = 
dV1
dxS
=
1
S
l=
2. The distance between Sun and Earth is R. The
duration of year if the distance between Sun and
Earth becomes 3R will be :
(A) 3 years (B) 3 years
(C) 9 years (D)33 years
Official Ans. by NTA (D) 
 
Sol. 
æö
¢ =
ç÷
èø
3/2
3R
TT
R
= 33 T 
3. A stone of mass m, tied to a string is being whirled
in a vertical circle with a uniform speed. The
tension in the string is :
(A) the same throughout the motion
(B) minimum at the highest position of the circular
path
(C) minimum at the lowest position of the circular
path
(D) minimum when the rope is in the horizontal
position
Official Ans. by NTA (B) 
 
Sol. Theory 
4. Two identical charged particles each having a mass
10 g and charge 2.0 × 10
–7
 C area placed on a
horizontal table with a separation of L between
then such that they stay in limited equilibrium.
If the coefficient of friction between each
particle and the table is 0.25, find the value of L.
[Use g = 10 ms
–2
]
(A) 12 cm (B) 10 cm
(C) 8 cm (D) 5 cm
Official Ans. by NTA (A)
Sol. 
2
2
kq
mg
L
=m Þ =
m
k
Lq
mg
5. A Carnot engine take 5000 kcal of heat from a
reservoir at 727°C and gives heat to a sink at
127°C. The  work done by the engine is :
(A) 3 × 10
6
 J (B) Zero
(C) 12.6 × 10
6
 J (D) 8.4 × 10
6
 J
Official Ans. by NTA (C)
Sol. 
H
WD
L
Q
=
Þ 
L
H
H
T
WD Q1
T
æö
=-
ç÷
èø
æö
=´-
ç÷
èø
3
400
5101
1000
 
     =3000 kcal 
6. Two massless springs with spring constants 2 k
and 2 k, carry 50 g and 100 g masses at their free
ends. These two masses oscillate vertically such
that their maximum velocities are equal. Then, the
ratio of their respective amplitudes will be :
(A) 1 : 2 (B) 3 : 2
(C) 3 : 1 (D) 2 : 3
Official Ans. by NTA (B)
Sol. =w
max
VA
Þ 
w
=
w
12
21
A
A
= ´=
9 13
2 22
2 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
7. What will be the most suitable combination of
three resistors A = 2W, B = 4W, C = 6 W so that
æö
W
ç÷
èø
22
3
is equivalent resistance of combination?
(A) Parallel combination of A and C connected in
series with B.
(B) Parallel combination of A and B connected in
series with C.
(C) Series combination of A and C connected in
parallel with B.
(D) Series combination of B and C connected in
parallel with A.
Official Ans. by NTA (B) 
 
Sol. Þ 
4 22
6
33
+=
8. The soft-iron is a suitable material for making an
electromagnet. This is because soft-iron has :
(A) low coercively and high retentively
(B) low coercively and low permeability
(C) high permeability and low retentively
(D) high permeability and high retentively
Official Ans. by NTA (C)
Sol. Theory 
9. A proton, a deuteron and an a-particle with same
kinetic energy enter into a uniform magnetic field
at right angle to magnetic field. The ratio of the
radii of their respective circular paths is :
(A)1:2:2 (B)1:1:2
(C) 2 :1:1 (D) 1: 2 :1
Official Ans. by NTA (D) 
 
Sol. 
2kmm
R
qBq
=µ
m 2m 4m
::
ee2e
 1: 2 :1 
10. Given below are two statements :
Statement-I : The reactance of an ac circuit is
zero. It is possible that the circuit contains a
capacitor and an inductor.
Statement-II : In ac circuit, the average poser
delivered by the source never becomes zero.
In the light of the above statements, choose the
correct answer from the options given below :
(A) Both Statement I and Statement II are true.
(B) Both Statement I and Statement II are false.
(C) Statement I is true but Statement II in false.
(D) Statement I is false but Statement II is true.
Official Ans. by NTA (C)
Sol. if R = 0, P = 0 
11. Potential energy as a function of r is given by
=-
105
AB
U
rr
, where r is the interatomic distance, 
A and B are positive constants. The equilibrium 
distance between the two atoms will be :   
(A) 
æö
ç÷
èø
1
5
A
B
(B)  
æö
ç÷
èø
1
5
B
A
(C) 
æö
ç÷
èø
1
5
2A
B
(D) 
æö
ç÷
èø
1
5
B
2A
Official Ans. by NTA (C) 
 
Sol. 
-
+=
116
10A 5B
0
rr
 ==
5
10A 2A
r
5BB
12. An object of mass 5 kg is thrown vertically
upwards from the ground. The air resistance
produces a constant retarding force of 10 N
throughout the motion. The ratio of time of
ascent to the time of descent will be equal to :
[Use g = 10 ms
–2
]
(A) 1 : 1 (B) 2:3
(C) 3:2 (D) 2 : 3
Official Ans. by NTA (B)
Page 3


1 
FINAL JEE–MAIN EXAMINATION – JUNE, 2022 
(Held On Friday 24
th
 June, 2022) TIME : 3 : 00 PM  to  6 : 00 PM
PHYSICS TEST PAPER WITH SOLUTION
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
 
 
SECTION-A 
1. Identify the pair of physical quantities that have
same dimensions :
(A) velocity gradient and decay constant
(B) wien's constant and Stefan constant
(C) angular frequency and angular momentum
(D) wave number and Avogadro number
Official Ans. by NTA (A)
Sol. Velocity gradient  = 
dV1
dxS
=
1
S
l=
2. The distance between Sun and Earth is R. The
duration of year if the distance between Sun and
Earth becomes 3R will be :
(A) 3 years (B) 3 years
(C) 9 years (D)33 years
Official Ans. by NTA (D) 
 
Sol. 
æö
¢ =
ç÷
èø
3/2
3R
TT
R
= 33 T 
3. A stone of mass m, tied to a string is being whirled
in a vertical circle with a uniform speed. The
tension in the string is :
(A) the same throughout the motion
(B) minimum at the highest position of the circular
path
(C) minimum at the lowest position of the circular
path
(D) minimum when the rope is in the horizontal
position
Official Ans. by NTA (B) 
 
Sol. Theory 
4. Two identical charged particles each having a mass
10 g and charge 2.0 × 10
–7
 C area placed on a
horizontal table with a separation of L between
then such that they stay in limited equilibrium.
If the coefficient of friction between each
particle and the table is 0.25, find the value of L.
[Use g = 10 ms
–2
]
(A) 12 cm (B) 10 cm
(C) 8 cm (D) 5 cm
Official Ans. by NTA (A)
Sol. 
2
2
kq
mg
L
=m Þ =
m
k
Lq
mg
5. A Carnot engine take 5000 kcal of heat from a
reservoir at 727°C and gives heat to a sink at
127°C. The  work done by the engine is :
(A) 3 × 10
6
 J (B) Zero
(C) 12.6 × 10
6
 J (D) 8.4 × 10
6
 J
Official Ans. by NTA (C)
Sol. 
H
WD
L
Q
=
Þ 
L
H
H
T
WD Q1
T
æö
=-
ç÷
èø
æö
=´-
ç÷
èø
3
400
5101
1000
 
     =3000 kcal 
6. Two massless springs with spring constants 2 k
and 2 k, carry 50 g and 100 g masses at their free
ends. These two masses oscillate vertically such
that their maximum velocities are equal. Then, the
ratio of their respective amplitudes will be :
(A) 1 : 2 (B) 3 : 2
(C) 3 : 1 (D) 2 : 3
Official Ans. by NTA (B)
Sol. =w
max
VA
Þ 
w
=
w
12
21
A
A
= ´=
9 13
2 22
2 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
7. What will be the most suitable combination of
three resistors A = 2W, B = 4W, C = 6 W so that
æö
W
ç÷
èø
22
3
is equivalent resistance of combination?
(A) Parallel combination of A and C connected in
series with B.
(B) Parallel combination of A and B connected in
series with C.
(C) Series combination of A and C connected in
parallel with B.
(D) Series combination of B and C connected in
parallel with A.
Official Ans. by NTA (B) 
 
Sol. Þ 
4 22
6
33
+=
8. The soft-iron is a suitable material for making an
electromagnet. This is because soft-iron has :
(A) low coercively and high retentively
(B) low coercively and low permeability
(C) high permeability and low retentively
(D) high permeability and high retentively
Official Ans. by NTA (C)
Sol. Theory 
9. A proton, a deuteron and an a-particle with same
kinetic energy enter into a uniform magnetic field
at right angle to magnetic field. The ratio of the
radii of their respective circular paths is :
(A)1:2:2 (B)1:1:2
(C) 2 :1:1 (D) 1: 2 :1
Official Ans. by NTA (D) 
 
Sol. 
2kmm
R
qBq
=µ
m 2m 4m
::
ee2e
 1: 2 :1 
10. Given below are two statements :
Statement-I : The reactance of an ac circuit is
zero. It is possible that the circuit contains a
capacitor and an inductor.
Statement-II : In ac circuit, the average poser
delivered by the source never becomes zero.
In the light of the above statements, choose the
correct answer from the options given below :
(A) Both Statement I and Statement II are true.
(B) Both Statement I and Statement II are false.
(C) Statement I is true but Statement II in false.
(D) Statement I is false but Statement II is true.
Official Ans. by NTA (C)
Sol. if R = 0, P = 0 
11. Potential energy as a function of r is given by
=-
105
AB
U
rr
, where r is the interatomic distance, 
A and B are positive constants. The equilibrium 
distance between the two atoms will be :   
(A) 
æö
ç÷
èø
1
5
A
B
(B)  
æö
ç÷
èø
1
5
B
A
(C) 
æö
ç÷
èø
1
5
2A
B
(D) 
æö
ç÷
èø
1
5
B
2A
Official Ans. by NTA (C) 
 
Sol. 
-
+=
116
10A 5B
0
rr
 ==
5
10A 2A
r
5BB
12. An object of mass 5 kg is thrown vertically
upwards from the ground. The air resistance
produces a constant retarding force of 10 N
throughout the motion. The ratio of time of
ascent to the time of descent will be equal to :
[Use g = 10 ms
–2
]
(A) 1 : 1 (B) 2:3
(C) 3:2 (D) 2 : 3
Official Ans. by NTA (B)
3 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
Sol. 
12 t
1
V
t
1
8 
12
t
2
8 t
2
t
22
12
6t 4t =
13. A fly wheel is accelerated uniformly from rest and
rotates through 5 rad in the first second. The angle
rotated by the fly wheel in the next second, will be :
(A) 7.5 rad (B) 15 rad
(C) 20 rad (D) 30 rad
Official Ans. by NTA (B)
Sol. 
2
1
5 (1)
2
=a
2
1
(2)
2
q=a
q – 5 = 15 
14. A 100 g of iron nail is hit by a 1.5 kg hammer
striking at a velocity of 60 ms
–1
. What will be the
rise in the temperature of the nail if one fourth of
energy of the hammer goes into heating the nail?
[Specific heat capacity of iron = 0.42 Jg
–1
 °C
–1
]
(A) 675°C (B) 1600°C
(C) 160.7°C (D) 6.75°C
Official Ans. by NTA (C)
Sol. 
2
11
1.5 60
24
´ ´´ = 0.1 × 420 × DT 
15. If the charge on a capacitor is increased by 2 C, the
energy stored in it increases by 44%. The original
charge on the capacitor is (in C) :
(A) 10 (B) 20
(C) 30 (D) 40
Official Ans. by NTA (A)
Sol. U µ q
2
 
Þ q
f
 = 1.2 q 
q
f
 – q = 2 
Þ 1.2 q – q = 2 
q = 10 
16. A long cylindrical volume contains a uniformly
distributed charge of density r. The radius of
cylindrical volume is R. A charge particle (q)
revolves around the cylinder in a circular path. The
kinetic of the particle is :
(A) 
r
e
2
0
qR
4
  (B)
r
e
2
0
qR
2
(C) 
r
e
2
0
q
4R
(D) 
e
r
2
0
4R
q
Official Ans. by NTA (A) 
 
Sol. 
2
0
r
E 2r
rp
= p=
e
l
l 
22
0
q R mv
qE
2rr
r
==
e
 
2
2
0
qR
mv
2
r
=
e
r
l 
R 
17. An electric bulb is rated as 200 W. What will be
the peak magnetic field at 4 m distance produced
by the radiations coming from this bulb? Consider
this bulb as a point source with 3.5% efficiency.
(A) 1.19 × 10
–8
 T (B) 1.71 × 10
–8
 T
(C) 0.84 × 10
–8
 T (D) 3.36 × 10
–8
 T
Official Ans. by NTA (B)
Sol. 
2
0
2
0
cB P
2 4r
h
=
m p
0
0
P1
B
4 cr
m h
=
p
 
Þ
7
0 8
1 10 4 3.5
B
4 3 10
-
´´
=
´
= 1.71 × 10
–8
 T 
Page 4


1 
FINAL JEE–MAIN EXAMINATION – JUNE, 2022 
(Held On Friday 24
th
 June, 2022) TIME : 3 : 00 PM  to  6 : 00 PM
PHYSICS TEST PAPER WITH SOLUTION
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
 
 
SECTION-A 
1. Identify the pair of physical quantities that have
same dimensions :
(A) velocity gradient and decay constant
(B) wien's constant and Stefan constant
(C) angular frequency and angular momentum
(D) wave number and Avogadro number
Official Ans. by NTA (A)
Sol. Velocity gradient  = 
dV1
dxS
=
1
S
l=
2. The distance between Sun and Earth is R. The
duration of year if the distance between Sun and
Earth becomes 3R will be :
(A) 3 years (B) 3 years
(C) 9 years (D)33 years
Official Ans. by NTA (D) 
 
Sol. 
æö
¢ =
ç÷
èø
3/2
3R
TT
R
= 33 T 
3. A stone of mass m, tied to a string is being whirled
in a vertical circle with a uniform speed. The
tension in the string is :
(A) the same throughout the motion
(B) minimum at the highest position of the circular
path
(C) minimum at the lowest position of the circular
path
(D) minimum when the rope is in the horizontal
position
Official Ans. by NTA (B) 
 
Sol. Theory 
4. Two identical charged particles each having a mass
10 g and charge 2.0 × 10
–7
 C area placed on a
horizontal table with a separation of L between
then such that they stay in limited equilibrium.
If the coefficient of friction between each
particle and the table is 0.25, find the value of L.
[Use g = 10 ms
–2
]
(A) 12 cm (B) 10 cm
(C) 8 cm (D) 5 cm
Official Ans. by NTA (A)
Sol. 
2
2
kq
mg
L
=m Þ =
m
k
Lq
mg
5. A Carnot engine take 5000 kcal of heat from a
reservoir at 727°C and gives heat to a sink at
127°C. The  work done by the engine is :
(A) 3 × 10
6
 J (B) Zero
(C) 12.6 × 10
6
 J (D) 8.4 × 10
6
 J
Official Ans. by NTA (C)
Sol. 
H
WD
L
Q
=
Þ 
L
H
H
T
WD Q1
T
æö
=-
ç÷
èø
æö
=´-
ç÷
èø
3
400
5101
1000
 
     =3000 kcal 
6. Two massless springs with spring constants 2 k
and 2 k, carry 50 g and 100 g masses at their free
ends. These two masses oscillate vertically such
that their maximum velocities are equal. Then, the
ratio of their respective amplitudes will be :
(A) 1 : 2 (B) 3 : 2
(C) 3 : 1 (D) 2 : 3
Official Ans. by NTA (B)
Sol. =w
max
VA
Þ 
w
=
w
12
21
A
A
= ´=
9 13
2 22
2 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
7. What will be the most suitable combination of
three resistors A = 2W, B = 4W, C = 6 W so that
æö
W
ç÷
èø
22
3
is equivalent resistance of combination?
(A) Parallel combination of A and C connected in
series with B.
(B) Parallel combination of A and B connected in
series with C.
(C) Series combination of A and C connected in
parallel with B.
(D) Series combination of B and C connected in
parallel with A.
Official Ans. by NTA (B) 
 
Sol. Þ 
4 22
6
33
+=
8. The soft-iron is a suitable material for making an
electromagnet. This is because soft-iron has :
(A) low coercively and high retentively
(B) low coercively and low permeability
(C) high permeability and low retentively
(D) high permeability and high retentively
Official Ans. by NTA (C)
Sol. Theory 
9. A proton, a deuteron and an a-particle with same
kinetic energy enter into a uniform magnetic field
at right angle to magnetic field. The ratio of the
radii of their respective circular paths is :
(A)1:2:2 (B)1:1:2
(C) 2 :1:1 (D) 1: 2 :1
Official Ans. by NTA (D) 
 
Sol. 
2kmm
R
qBq
=µ
m 2m 4m
::
ee2e
 1: 2 :1 
10. Given below are two statements :
Statement-I : The reactance of an ac circuit is
zero. It is possible that the circuit contains a
capacitor and an inductor.
Statement-II : In ac circuit, the average poser
delivered by the source never becomes zero.
In the light of the above statements, choose the
correct answer from the options given below :
(A) Both Statement I and Statement II are true.
(B) Both Statement I and Statement II are false.
(C) Statement I is true but Statement II in false.
(D) Statement I is false but Statement II is true.
Official Ans. by NTA (C)
Sol. if R = 0, P = 0 
11. Potential energy as a function of r is given by
=-
105
AB
U
rr
, where r is the interatomic distance, 
A and B are positive constants. The equilibrium 
distance between the two atoms will be :   
(A) 
æö
ç÷
èø
1
5
A
B
(B)  
æö
ç÷
èø
1
5
B
A
(C) 
æö
ç÷
èø
1
5
2A
B
(D) 
æö
ç÷
èø
1
5
B
2A
Official Ans. by NTA (C) 
 
Sol. 
-
+=
116
10A 5B
0
rr
 ==
5
10A 2A
r
5BB
12. An object of mass 5 kg is thrown vertically
upwards from the ground. The air resistance
produces a constant retarding force of 10 N
throughout the motion. The ratio of time of
ascent to the time of descent will be equal to :
[Use g = 10 ms
–2
]
(A) 1 : 1 (B) 2:3
(C) 3:2 (D) 2 : 3
Official Ans. by NTA (B)
3 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
Sol. 
12 t
1
V
t
1
8 
12
t
2
8 t
2
t
22
12
6t 4t =
13. A fly wheel is accelerated uniformly from rest and
rotates through 5 rad in the first second. The angle
rotated by the fly wheel in the next second, will be :
(A) 7.5 rad (B) 15 rad
(C) 20 rad (D) 30 rad
Official Ans. by NTA (B)
Sol. 
2
1
5 (1)
2
=a
2
1
(2)
2
q=a
q – 5 = 15 
14. A 100 g of iron nail is hit by a 1.5 kg hammer
striking at a velocity of 60 ms
–1
. What will be the
rise in the temperature of the nail if one fourth of
energy of the hammer goes into heating the nail?
[Specific heat capacity of iron = 0.42 Jg
–1
 °C
–1
]
(A) 675°C (B) 1600°C
(C) 160.7°C (D) 6.75°C
Official Ans. by NTA (C)
Sol. 
2
11
1.5 60
24
´ ´´ = 0.1 × 420 × DT 
15. If the charge on a capacitor is increased by 2 C, the
energy stored in it increases by 44%. The original
charge on the capacitor is (in C) :
(A) 10 (B) 20
(C) 30 (D) 40
Official Ans. by NTA (A)
Sol. U µ q
2
 
Þ q
f
 = 1.2 q 
q
f
 – q = 2 
Þ 1.2 q – q = 2 
q = 10 
16. A long cylindrical volume contains a uniformly
distributed charge of density r. The radius of
cylindrical volume is R. A charge particle (q)
revolves around the cylinder in a circular path. The
kinetic of the particle is :
(A) 
r
e
2
0
qR
4
  (B)
r
e
2
0
qR
2
(C) 
r
e
2
0
q
4R
(D) 
e
r
2
0
4R
q
Official Ans. by NTA (A) 
 
Sol. 
2
0
r
E 2r
rp
= p=
e
l
l 
22
0
q R mv
qE
2rr
r
==
e
 
2
2
0
qR
mv
2
r
=
e
r
l 
R 
17. An electric bulb is rated as 200 W. What will be
the peak magnetic field at 4 m distance produced
by the radiations coming from this bulb? Consider
this bulb as a point source with 3.5% efficiency.
(A) 1.19 × 10
–8
 T (B) 1.71 × 10
–8
 T
(C) 0.84 × 10
–8
 T (D) 3.36 × 10
–8
 T
Official Ans. by NTA (B)
Sol. 
2
0
2
0
cB P
2 4r
h
=
m p
0
0
P1
B
4 cr
m h
=
p
 
Þ
7
0 8
1 10 4 3.5
B
4 3 10
-
´´
=
´
= 1.71 × 10
–8
 T 
4 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
18. The light of two different frequencies whose
photons have energies 3.8 eV and 1.4 eV
respectively, illuminate a metallic surface whose
work function is 0.6 eV successively. The ratio of
maximum speeds of emitted electrons for the two
frequencies respectivly will be :
(A) 1 : 1 (B) 2 : 1
(C) 4 : 1 (D) 1 : 4
Official Ans. by NTA (B) 
 
Sol. 
3.8 0.6 3.2
2
1.4 0.6 0.8
-
==
-
19. Two light beams of intensities in the ratio of 9 : 4
are allowed to interfere. The .ratio of the intensity
of maxima and minima will be :
(A) 2 : 3 (B) 16 : 81
(C) 25 : 169 (D) 25 : 1
Official Ans. by NTA (D) 
 
Sol. 
1
2
I 93
I 42
==
2
12 2
12
II
5 25
II
æö
+
== ç÷
ç÷
-
èø
20. In Bohr's atomic model of hydrogen, let K. P and E
are the kinetic energy, potential energy and total
energy of the electron respectively. Choose the
correct option when the electron undergoes
transitions to a higher level :
(A) All K. P and E increase.
(B) K decreases. P and E increase.
(C) P decreases. K and E increase.
(D) K increases. P and E decrease.
Official Ans. by NTA (B) 
 
Sol. Based on theory 
SECTION-B 
1. A body is projected from the ground at an angle of
45° with the horizontal. Its velocity after 2s is
20 ms
–1
. The maximum height reached by the body
during its motion is _______m. (use g = 10ms
–2
)
Official Ans. by NTA (20)
Sol. 
v
y 
20
u
x 
v
x
= v
y
u
x
v
y
 = v
x
 –20 
( )
2
2
xx
u 20 u 20 - +=
 
2
xx
2u 40u0 Þ -=
 \ u
x
 = 20  
2. An antenna is placed in a dielectric medium of
dielectric constant 6.25. If the maximum size of
that antenna is 5.0 mm. it can radiate a signal of
minimum frequency of ______GHz.
(Given m
r
 = 1 for dielectric medium)
Official Ans. by NTA (6)
Sol. 
88
rr
C 3 10 3 10
C'
2.5
6.25
´´
= ==
me
fl = 1.25 × 10
8
 s 
( )
38
f 5 10 4 1.25 10
-
Þ ´ ´ =´
f = 6.25 GHz 
So f6 » 
Page 5


1 
FINAL JEE–MAIN EXAMINATION – JUNE, 2022 
(Held On Friday 24
th
 June, 2022) TIME : 3 : 00 PM  to  6 : 00 PM
PHYSICS TEST PAPER WITH SOLUTION
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
 
 
SECTION-A 
1. Identify the pair of physical quantities that have
same dimensions :
(A) velocity gradient and decay constant
(B) wien's constant and Stefan constant
(C) angular frequency and angular momentum
(D) wave number and Avogadro number
Official Ans. by NTA (A)
Sol. Velocity gradient  = 
dV1
dxS
=
1
S
l=
2. The distance between Sun and Earth is R. The
duration of year if the distance between Sun and
Earth becomes 3R will be :
(A) 3 years (B) 3 years
(C) 9 years (D)33 years
Official Ans. by NTA (D) 
 
Sol. 
æö
¢ =
ç÷
èø
3/2
3R
TT
R
= 33 T 
3. A stone of mass m, tied to a string is being whirled
in a vertical circle with a uniform speed. The
tension in the string is :
(A) the same throughout the motion
(B) minimum at the highest position of the circular
path
(C) minimum at the lowest position of the circular
path
(D) minimum when the rope is in the horizontal
position
Official Ans. by NTA (B) 
 
Sol. Theory 
4. Two identical charged particles each having a mass
10 g and charge 2.0 × 10
–7
 C area placed on a
horizontal table with a separation of L between
then such that they stay in limited equilibrium.
If the coefficient of friction between each
particle and the table is 0.25, find the value of L.
[Use g = 10 ms
–2
]
(A) 12 cm (B) 10 cm
(C) 8 cm (D) 5 cm
Official Ans. by NTA (A)
Sol. 
2
2
kq
mg
L
=m Þ =
m
k
Lq
mg
5. A Carnot engine take 5000 kcal of heat from a
reservoir at 727°C and gives heat to a sink at
127°C. The  work done by the engine is :
(A) 3 × 10
6
 J (B) Zero
(C) 12.6 × 10
6
 J (D) 8.4 × 10
6
 J
Official Ans. by NTA (C)
Sol. 
H
WD
L
Q
=
Þ 
L
H
H
T
WD Q1
T
æö
=-
ç÷
èø
æö
=´-
ç÷
èø
3
400
5101
1000
 
     =3000 kcal 
6. Two massless springs with spring constants 2 k
and 2 k, carry 50 g and 100 g masses at their free
ends. These two masses oscillate vertically such
that their maximum velocities are equal. Then, the
ratio of their respective amplitudes will be :
(A) 1 : 2 (B) 3 : 2
(C) 3 : 1 (D) 2 : 3
Official Ans. by NTA (B)
Sol. =w
max
VA
Þ 
w
=
w
12
21
A
A
= ´=
9 13
2 22
2 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
7. What will be the most suitable combination of
three resistors A = 2W, B = 4W, C = 6 W so that
æö
W
ç÷
èø
22
3
is equivalent resistance of combination?
(A) Parallel combination of A and C connected in
series with B.
(B) Parallel combination of A and B connected in
series with C.
(C) Series combination of A and C connected in
parallel with B.
(D) Series combination of B and C connected in
parallel with A.
Official Ans. by NTA (B) 
 
Sol. Þ 
4 22
6
33
+=
8. The soft-iron is a suitable material for making an
electromagnet. This is because soft-iron has :
(A) low coercively and high retentively
(B) low coercively and low permeability
(C) high permeability and low retentively
(D) high permeability and high retentively
Official Ans. by NTA (C)
Sol. Theory 
9. A proton, a deuteron and an a-particle with same
kinetic energy enter into a uniform magnetic field
at right angle to magnetic field. The ratio of the
radii of their respective circular paths is :
(A)1:2:2 (B)1:1:2
(C) 2 :1:1 (D) 1: 2 :1
Official Ans. by NTA (D) 
 
Sol. 
2kmm
R
qBq
=µ
m 2m 4m
::
ee2e
 1: 2 :1 
10. Given below are two statements :
Statement-I : The reactance of an ac circuit is
zero. It is possible that the circuit contains a
capacitor and an inductor.
Statement-II : In ac circuit, the average poser
delivered by the source never becomes zero.
In the light of the above statements, choose the
correct answer from the options given below :
(A) Both Statement I and Statement II are true.
(B) Both Statement I and Statement II are false.
(C) Statement I is true but Statement II in false.
(D) Statement I is false but Statement II is true.
Official Ans. by NTA (C)
Sol. if R = 0, P = 0 
11. Potential energy as a function of r is given by
=-
105
AB
U
rr
, where r is the interatomic distance, 
A and B are positive constants. The equilibrium 
distance between the two atoms will be :   
(A) 
æö
ç÷
èø
1
5
A
B
(B)  
æö
ç÷
èø
1
5
B
A
(C) 
æö
ç÷
èø
1
5
2A
B
(D) 
æö
ç÷
èø
1
5
B
2A
Official Ans. by NTA (C) 
 
Sol. 
-
+=
116
10A 5B
0
rr
 ==
5
10A 2A
r
5BB
12. An object of mass 5 kg is thrown vertically
upwards from the ground. The air resistance
produces a constant retarding force of 10 N
throughout the motion. The ratio of time of
ascent to the time of descent will be equal to :
[Use g = 10 ms
–2
]
(A) 1 : 1 (B) 2:3
(C) 3:2 (D) 2 : 3
Official Ans. by NTA (B)
3 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
Sol. 
12 t
1
V
t
1
8 
12
t
2
8 t
2
t
22
12
6t 4t =
13. A fly wheel is accelerated uniformly from rest and
rotates through 5 rad in the first second. The angle
rotated by the fly wheel in the next second, will be :
(A) 7.5 rad (B) 15 rad
(C) 20 rad (D) 30 rad
Official Ans. by NTA (B)
Sol. 
2
1
5 (1)
2
=a
2
1
(2)
2
q=a
q – 5 = 15 
14. A 100 g of iron nail is hit by a 1.5 kg hammer
striking at a velocity of 60 ms
–1
. What will be the
rise in the temperature of the nail if one fourth of
energy of the hammer goes into heating the nail?
[Specific heat capacity of iron = 0.42 Jg
–1
 °C
–1
]
(A) 675°C (B) 1600°C
(C) 160.7°C (D) 6.75°C
Official Ans. by NTA (C)
Sol. 
2
11
1.5 60
24
´ ´´ = 0.1 × 420 × DT 
15. If the charge on a capacitor is increased by 2 C, the
energy stored in it increases by 44%. The original
charge on the capacitor is (in C) :
(A) 10 (B) 20
(C) 30 (D) 40
Official Ans. by NTA (A)
Sol. U µ q
2
 
Þ q
f
 = 1.2 q 
q
f
 – q = 2 
Þ 1.2 q – q = 2 
q = 10 
16. A long cylindrical volume contains a uniformly
distributed charge of density r. The radius of
cylindrical volume is R. A charge particle (q)
revolves around the cylinder in a circular path. The
kinetic of the particle is :
(A) 
r
e
2
0
qR
4
  (B)
r
e
2
0
qR
2
(C) 
r
e
2
0
q
4R
(D) 
e
r
2
0
4R
q
Official Ans. by NTA (A) 
 
Sol. 
2
0
r
E 2r
rp
= p=
e
l
l 
22
0
q R mv
qE
2rr
r
==
e
 
2
2
0
qR
mv
2
r
=
e
r
l 
R 
17. An electric bulb is rated as 200 W. What will be
the peak magnetic field at 4 m distance produced
by the radiations coming from this bulb? Consider
this bulb as a point source with 3.5% efficiency.
(A) 1.19 × 10
–8
 T (B) 1.71 × 10
–8
 T
(C) 0.84 × 10
–8
 T (D) 3.36 × 10
–8
 T
Official Ans. by NTA (B)
Sol. 
2
0
2
0
cB P
2 4r
h
=
m p
0
0
P1
B
4 cr
m h
=
p
 
Þ
7
0 8
1 10 4 3.5
B
4 3 10
-
´´
=
´
= 1.71 × 10
–8
 T 
4 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
18. The light of two different frequencies whose
photons have energies 3.8 eV and 1.4 eV
respectively, illuminate a metallic surface whose
work function is 0.6 eV successively. The ratio of
maximum speeds of emitted electrons for the two
frequencies respectivly will be :
(A) 1 : 1 (B) 2 : 1
(C) 4 : 1 (D) 1 : 4
Official Ans. by NTA (B) 
 
Sol. 
3.8 0.6 3.2
2
1.4 0.6 0.8
-
==
-
19. Two light beams of intensities in the ratio of 9 : 4
are allowed to interfere. The .ratio of the intensity
of maxima and minima will be :
(A) 2 : 3 (B) 16 : 81
(C) 25 : 169 (D) 25 : 1
Official Ans. by NTA (D) 
 
Sol. 
1
2
I 93
I 42
==
2
12 2
12
II
5 25
II
æö
+
== ç÷
ç÷
-
èø
20. In Bohr's atomic model of hydrogen, let K. P and E
are the kinetic energy, potential energy and total
energy of the electron respectively. Choose the
correct option when the electron undergoes
transitions to a higher level :
(A) All K. P and E increase.
(B) K decreases. P and E increase.
(C) P decreases. K and E increase.
(D) K increases. P and E decrease.
Official Ans. by NTA (B) 
 
Sol. Based on theory 
SECTION-B 
1. A body is projected from the ground at an angle of
45° with the horizontal. Its velocity after 2s is
20 ms
–1
. The maximum height reached by the body
during its motion is _______m. (use g = 10ms
–2
)
Official Ans. by NTA (20)
Sol. 
v
y 
20
u
x 
v
x
= v
y
u
x
v
y
 = v
x
 –20 
( )
2
2
xx
u 20 u 20 - +=
 
2
xx
2u 40u0 Þ -=
 \ u
x
 = 20  
2. An antenna is placed in a dielectric medium of
dielectric constant 6.25. If the maximum size of
that antenna is 5.0 mm. it can radiate a signal of
minimum frequency of ______GHz.
(Given m
r
 = 1 for dielectric medium)
Official Ans. by NTA (6)
Sol. 
88
rr
C 3 10 3 10
C'
2.5
6.25
´´
= ==
me
fl = 1.25 × 10
8
 s 
( )
38
f 5 10 4 1.25 10
-
Þ ´ ´ =´
f = 6.25 GHz 
So f6 » 
5 
          Final JEE-Main Exam June, 2022/24-06-2022/Evening Session 
3. A potentiometer wire of length 10 m and resistance
20 W is connected in series with a 25 V battery and
an external resistance 30 W . A cell of emf E in
secondary circuit is balanced by 250 cm long
potentiometer wire. The value of E (in volt) is
x
10
. The value of x is _______.  
Official Ans. by NTA (25) 
Sol. 
30W
E
25W
I
20W 
2.5m 7.5m
251
IA
502
== 
\ DV = 10 V 
10 m ® 10V 
2.5m ® 2.5V 
4. Two travelling waves of equal amplitudes and
equal frequencies move in opposite directions
along a string. They interfere to produce a
stationary wave whose equation is given by
y = (10 cos p x sin 
2t
T
p
) cm 
The amplitude of the particle at x = 
4
3
 cm will be 
_______ cm. 
Official Ans. by NTA (5) 
Sol. 
4
10cos
3
p æö
ç÷
èø
 
5. In the given circuit- the value of current I
L 
will be
______ mA.
(When R
L
 = lkW)
800W
10V
R
L
 = 1kW
I
L
5V 
Official Ans. by NTA (5) 
Sol. 
L
5
I 5mA
1000
==
6. A sample contains 10
–2
 kg each of two substances
A and B with half lives 4 s and 8 s respectively.
The ratio of then atomic weights is 1 : 2. The ratio
of the amounts of A and B after 16 s is 
x
100
. the 
value of x is _______.  
Official Ans. by NTA (25) 
Sol. 
()
1/2
t
t
t0
N N 0.5 =
()
1/2
t
t
A
m
N 0.5
M
=´
()
AB
11
t
12
TT
21
NM
0.5
NM
éù
-
êú
ëû =
()
1
16
8
2 1x
2 0.5
4 2 100
´
= ===
7. A ray of ligh is incident at an angle of incidence
60° on the glass slab of refractive index 3 . After
refraction, the light ray emerges out from other
parallel faces and lateral shift between incident ray
and emergent ray is 43 cm. The thickness of the 
glass slab is _______ cm.  
Official Ans. by NTA (12)