JEE Main 2022 Question Paper 27 June Shift 1 | JEE Main & Advanced Previous Year Papers PDF Download

 Page 1


 1 
FINAL JEE –MAIN EXAMINATION – JUNE, 2022 
(Held On Monday 27
th
 June, 2022)    TIME : 9:00 AM  to  12:00 PM 
PHYSICS TEST PAPER WITH SOLUTION 
 
 
SECTION-A 
1. A projectile is launched at an angle ‘ ?’ with the
horizontal with a velocity 20 ms
-1
 . After 10 s, its
inclination with horizontal is ‘ ?’. The value of tan ?
will be : (g = 10 ms
-2
)
(A) tan 5sec ?? ? (B) tan 5sec ?? ?
(C) 2tan 5sec ?? ? (D) 2tan 5sec ?? ?
Official Ans. by NTA (B) 
 
Sol. 
?
20m/s
?
20cos
xx
vu ? ??
20sin 10 10
y
v ? ? ? ?
20sin 100
tan
20cos
y
x
v
v
?
?
?
?
??
tan 5sec ?? ??
2. A girl standing on road holds her umbrella at 45º
with the vertical to keep the rain away. If she starts
running without umbrella with a speed of
1
15 2kmh
?
, the rain drops hit her head 
vertically. The speed of rain drops with respect to 
the moving girl is :  
(A) 
1
30kmh
?
(B) 
1
25
2
kmh
?
(C) 
1
30
2
kmh
?
(D) 
1
25kmh
?
Official Ans. by NTA (C) 
 
Sol. 
B
C
45º
V
R,G
V
G
V
R
V = tan
G
RG
V
V
? ?
1 15 2
G
RG
RG
V
V
V
? ? ?
3. A sliver wire has mass ? ? 0.6 0.006 ? g, radius
? ? 0.5 0.005 ? mm and length ? ? 4 0.04 ? cm. The 
maximum percentage error in the measurement of 
its density will be :
(A) 4% (B) 3%
(C) 6% (D) 7%
Official Ans. by NTA (A) 
 
Sol. ? ? 0.6 0.006 Mg ??
? ? 0.5 0.005 r mm ??
? ? 4 0.04 l cm ??
? ?
2
2
m
V
m r l
m r l
Volumeofcylinder r l
?
?
?
?
?
? ? ? ?
? ? ? ?
?
0.006 2 0.005 0.04
0.6 0.5 4
?
? ? ?
2
100 4 10 100
100 4%
?
?
?
?
?
?
? ? ? ?
?
??
Page 2


 1 
FINAL JEE –MAIN EXAMINATION – JUNE, 2022 
(Held On Monday 27
th
 June, 2022)    TIME : 9:00 AM  to  12:00 PM 
PHYSICS TEST PAPER WITH SOLUTION 
 
 
SECTION-A 
1. A projectile is launched at an angle ‘ ?’ with the
horizontal with a velocity 20 ms
-1
 . After 10 s, its
inclination with horizontal is ‘ ?’. The value of tan ?
will be : (g = 10 ms
-2
)
(A) tan 5sec ?? ? (B) tan 5sec ?? ?
(C) 2tan 5sec ?? ? (D) 2tan 5sec ?? ?
Official Ans. by NTA (B) 
 
Sol. 
?
20m/s
?
20cos
xx
vu ? ??
20sin 10 10
y
v ? ? ? ?
20sin 100
tan
20cos
y
x
v
v
?
?
?
?
??
tan 5sec ?? ??
2. A girl standing on road holds her umbrella at 45º
with the vertical to keep the rain away. If she starts
running without umbrella with a speed of
1
15 2kmh
?
, the rain drops hit her head 
vertically. The speed of rain drops with respect to 
the moving girl is :  
(A) 
1
30kmh
?
(B) 
1
25
2
kmh
?
(C) 
1
30
2
kmh
?
(D) 
1
25kmh
?
Official Ans. by NTA (C) 
 
Sol. 
B
C
45º
V
R,G
V
G
V
R
V = tan
G
RG
V
V
? ?
1 15 2
G
RG
RG
V
V
V
? ? ?
3. A sliver wire has mass ? ? 0.6 0.006 ? g, radius
? ? 0.5 0.005 ? mm and length ? ? 4 0.04 ? cm. The 
maximum percentage error in the measurement of 
its density will be :
(A) 4% (B) 3%
(C) 6% (D) 7%
Official Ans. by NTA (A) 
 
Sol. ? ? 0.6 0.006 Mg ??
? ? 0.5 0.005 r mm ??
? ? 4 0.04 l cm ??
? ?
2
2
m
V
m r l
m r l
Volumeofcylinder r l
?
?
?
?
?
? ? ? ?
? ? ? ?
?
0.006 2 0.005 0.04
0.6 0.5 4
?
? ? ?
2
100 4 10 100
100 4%
?
?
?
?
?
?
? ? ? ?
?
??
2 
4. A system of two blocks of masses m = 2 kg and
M = 8 kg is placed on a smooth table as shown in
figure. The coefficient of static friction between
two blocks is 0.5. The maximum horizontal force F
that can be applied to the block of mass M so that
the blocks move together will be :
(A) 9.8 N (B) 39.2 N
(C) 49 N (D) 78.4 N
Official Ans. by NTA (C) 
 
Sol. 
m
8kg
0.5
2kg
? ?
2
max
0.5 4.9 /
A
a g m s ??
For moving together 
max
10 4.9
49
TA
F m a
N
?
??
?
5. Two blocks of masses 10 kg and 30 kg are placed
on the same straight line with coordinates (0, 0) cm
and (x, 0) cm respectively. The block of 10 kg is
moved on the same line through a distance of 6 cm
towards the other block. The distance through
which the block of 30 kg must be moved to keep
the position of centre of mass of the system
unchanged is :
(A) 4 cm towards the 10 kg block
(B) 2 cm away from the 10 kg block
(C) 2 cm towards the 10 kg block
(D) 4 cm away from the 10 kg block
Official Ans. by NTA (C) 
 
Sol. 
1 1 2 2
12
G
m x m x
x
mm
? ? ?
??
?
? ?
2
10 6 30
0
40
x ? ? ?
?
2
2 x cm ? ? ?
Block of mass 30 kg will to move towards 10 kg. 
6. A 72 ? galvanometer is shunted by a resistance of
8 ? . The percentage of the total current which
passes through the galvanometer is :
(A) 0.1% (B) 10 %
(C) 25% (D) 0.25%
Official Ans. by NTA (B) 
 
Sol. 
1
G
g
R
S
I
I
?
?
72
8
1
g
I
I
?
?
19
g
I
I
??
1
10 % 100 10%
10
gg
g
II
I
I
I I I
? ? ? ? ? ?
7. Given below are two statements :
Statement I :  The law of gravitation holds good
for any pair of bodies in the universe.
Statement II : The weight of any person becomes
zero when the person is at the centre of the earth.
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 are false
(D) Statement I is false but Statement II is true
Official Ans. by NTA (A) 
 
Sol. Since it is universal law so it hold good for any 
pair of bodies.  
The value of g at centre is zero.  
So statement I and Statement II are true. 
Page 3


 1 
FINAL JEE –MAIN EXAMINATION – JUNE, 2022 
(Held On Monday 27
th
 June, 2022)    TIME : 9:00 AM  to  12:00 PM 
PHYSICS TEST PAPER WITH SOLUTION 
 
 
SECTION-A 
1. A projectile is launched at an angle ‘ ?’ with the
horizontal with a velocity 20 ms
-1
 . After 10 s, its
inclination with horizontal is ‘ ?’. The value of tan ?
will be : (g = 10 ms
-2
)
(A) tan 5sec ?? ? (B) tan 5sec ?? ?
(C) 2tan 5sec ?? ? (D) 2tan 5sec ?? ?
Official Ans. by NTA (B) 
 
Sol. 
?
20m/s
?
20cos
xx
vu ? ??
20sin 10 10
y
v ? ? ? ?
20sin 100
tan
20cos
y
x
v
v
?
?
?
?
??
tan 5sec ?? ??
2. A girl standing on road holds her umbrella at 45º
with the vertical to keep the rain away. If she starts
running without umbrella with a speed of
1
15 2kmh
?
, the rain drops hit her head 
vertically. The speed of rain drops with respect to 
the moving girl is :  
(A) 
1
30kmh
?
(B) 
1
25
2
kmh
?
(C) 
1
30
2
kmh
?
(D) 
1
25kmh
?
Official Ans. by NTA (C) 
 
Sol. 
B
C
45º
V
R,G
V
G
V
R
V = tan
G
RG
V
V
? ?
1 15 2
G
RG
RG
V
V
V
? ? ?
3. A sliver wire has mass ? ? 0.6 0.006 ? g, radius
? ? 0.5 0.005 ? mm and length ? ? 4 0.04 ? cm. The 
maximum percentage error in the measurement of 
its density will be :
(A) 4% (B) 3%
(C) 6% (D) 7%
Official Ans. by NTA (A) 
 
Sol. ? ? 0.6 0.006 Mg ??
? ? 0.5 0.005 r mm ??
? ? 4 0.04 l cm ??
? ?
2
2
m
V
m r l
m r l
Volumeofcylinder r l
?
?
?
?
?
? ? ? ?
? ? ? ?
?
0.006 2 0.005 0.04
0.6 0.5 4
?
? ? ?
2
100 4 10 100
100 4%
?
?
?
?
?
?
? ? ? ?
?
??
2 
4. A system of two blocks of masses m = 2 kg and
M = 8 kg is placed on a smooth table as shown in
figure. The coefficient of static friction between
two blocks is 0.5. The maximum horizontal force F
that can be applied to the block of mass M so that
the blocks move together will be :
(A) 9.8 N (B) 39.2 N
(C) 49 N (D) 78.4 N
Official Ans. by NTA (C) 
 
Sol. 
m
8kg
0.5
2kg
? ?
2
max
0.5 4.9 /
A
a g m s ??
For moving together 
max
10 4.9
49
TA
F m a
N
?
??
?
5. Two blocks of masses 10 kg and 30 kg are placed
on the same straight line with coordinates (0, 0) cm
and (x, 0) cm respectively. The block of 10 kg is
moved on the same line through a distance of 6 cm
towards the other block. The distance through
which the block of 30 kg must be moved to keep
the position of centre of mass of the system
unchanged is :
(A) 4 cm towards the 10 kg block
(B) 2 cm away from the 10 kg block
(C) 2 cm towards the 10 kg block
(D) 4 cm away from the 10 kg block
Official Ans. by NTA (C) 
 
Sol. 
1 1 2 2
12
G
m x m x
x
mm
? ? ?
??
?
? ?
2
10 6 30
0
40
x ? ? ?
?
2
2 x cm ? ? ?
Block of mass 30 kg will to move towards 10 kg. 
6. A 72 ? galvanometer is shunted by a resistance of
8 ? . The percentage of the total current which
passes through the galvanometer is :
(A) 0.1% (B) 10 %
(C) 25% (D) 0.25%
Official Ans. by NTA (B) 
 
Sol. 
1
G
g
R
S
I
I
?
?
72
8
1
g
I
I
?
?
19
g
I
I
??
1
10 % 100 10%
10
gg
g
II
I
I
I I I
? ? ? ? ? ?
7. Given below are two statements :
Statement I :  The law of gravitation holds good
for any pair of bodies in the universe.
Statement II : The weight of any person becomes
zero when the person is at the centre of the earth.
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 are false
(D) Statement I is false but Statement II is true
Official Ans. by NTA (A) 
 
Sol. Since it is universal law so it hold good for any 
pair of bodies.  
The value of g at centre is zero.  
So statement I and Statement II are true. 
3 
8. What percentage of kinetic energy of a moving
particle is transferred to a stationary particle when
it strikes the stationary particle of 5 times its mass?
(Assume the collision to be head-on elastic
collision)
(A) 50.0% (B) 66.6%
(C) 55.5% (D) 33.3%
Official Ans. by NTA (C)
Sol. Velocity after collision 
? ?
2 1 2 1 1
2
12
2 m m u mu
V
mm
??
?
?
? ? ??
??
?
0 0
2
5 0 2 .
53
m m mu u
V
mm
 
2
0
2
0
1
50
23
% 100
1
2
u
m
KE
mu
??
?
??
??
? ? ?
2
0
2
0
5 500
100 55.6%
9 9
u
u
? ? ? ?
9. The velocity of a small ball of mass ‘m’ and
density d
1
, when dropped in a container filled with
glycerine, becomes constant after some time. If the
density of glycerine is d
2
, then the viscous force
acting on the ball, will be :
(A) 
1
2
1
d
mg
d
??
?
??
??
(B) 
2
1
1
d
mg
d
??
?
??
??
(C) 
1
2
1
d
mg
d
??
?
??
??
(D) 
2
1
1
d
mg
d
??
?
??
??
Official Ans. by NTA (B) 
 
Sol. 
2
1
2
1
1
VB
F mg F
m
mg d g
d
d
mg
d
??
??
? ? ?
??
??
??
??
??
??
10. The susceptibility of a paramagnetic material is 99.
The permeability of the material in Wb/A-m is :
[Permeability of free space
7
0
4 10 / Wb A m ??
?
? ? ? ] 
(A) 
7
4 10 ?
?
? (B) 
4
4 10 ?
?
?
(C) 
5
4 10 ?
?
? (D) 
6
4 10 ?
?
?
Official Ans. by NTA (C) 
 
Sol. Susceptibility ? = 99 
? ?
0
0
7
5
1
1
4 10 1 99
4 10
r
?
??
?
? ? ?
?
?
?
?
? ? ?
??
? ? ? ??
??
??
11. The current flowing through an ac circuit is given
by
? ? 5sin 120 I t A ? ?
How long will the current take to reach the peak
value starting from zero?
(A) 
1
60
s (B) 60s
(C) 
1
120
s (D) 
1
240
s
Official Ans. by NTA (D) 
 
Sol. 
21
120
60
?
?? ? ? ? ? T
T
 sec 
time taken to reach peak value 
1
4 240
T
s ??
12. Mach List-I with List – II :
List – I List – II 
Choose the correct answer from the options given 
below : 
(A) (a) – (iii), (b) – (iv), (c) – (ii), (d) – (i)
(B) (a) – (iii), (b) – (i), (c) – (ii), (d) – (iv)
(C) (a) – (iv), (b) – (iii), (c) – (ii), (d) – (i)
(D) (a) – (iii), (b) – (iv), (c) – (i), (d) – (ii)
Official Ans. by NTA (A) 
 
Sol. (Fact) 
List-I List-Ii 
(a) Ultraviolet 
rays 
(i) Study crystal 
structure 
(b) Microwaves (ii) Greenhouse 
effect 
(c) Infrared 
waves 
(iii) Sterilizing 
surgical 
instrument 
(d) X-rays (iv) Radar system 
Page 4


 1 
FINAL JEE –MAIN EXAMINATION – JUNE, 2022 
(Held On Monday 27
th
 June, 2022)    TIME : 9:00 AM  to  12:00 PM 
PHYSICS TEST PAPER WITH SOLUTION 
 
 
SECTION-A 
1. A projectile is launched at an angle ‘ ?’ with the
horizontal with a velocity 20 ms
-1
 . After 10 s, its
inclination with horizontal is ‘ ?’. The value of tan ?
will be : (g = 10 ms
-2
)
(A) tan 5sec ?? ? (B) tan 5sec ?? ?
(C) 2tan 5sec ?? ? (D) 2tan 5sec ?? ?
Official Ans. by NTA (B) 
 
Sol. 
?
20m/s
?
20cos
xx
vu ? ??
20sin 10 10
y
v ? ? ? ?
20sin 100
tan
20cos
y
x
v
v
?
?
?
?
??
tan 5sec ?? ??
2. A girl standing on road holds her umbrella at 45º
with the vertical to keep the rain away. If she starts
running without umbrella with a speed of
1
15 2kmh
?
, the rain drops hit her head 
vertically. The speed of rain drops with respect to 
the moving girl is :  
(A) 
1
30kmh
?
(B) 
1
25
2
kmh
?
(C) 
1
30
2
kmh
?
(D) 
1
25kmh
?
Official Ans. by NTA (C) 
 
Sol. 
B
C
45º
V
R,G
V
G
V
R
V = tan
G
RG
V
V
? ?
1 15 2
G
RG
RG
V
V
V
? ? ?
3. A sliver wire has mass ? ? 0.6 0.006 ? g, radius
? ? 0.5 0.005 ? mm and length ? ? 4 0.04 ? cm. The 
maximum percentage error in the measurement of 
its density will be :
(A) 4% (B) 3%
(C) 6% (D) 7%
Official Ans. by NTA (A) 
 
Sol. ? ? 0.6 0.006 Mg ??
? ? 0.5 0.005 r mm ??
? ? 4 0.04 l cm ??
? ?
2
2
m
V
m r l
m r l
Volumeofcylinder r l
?
?
?
?
?
? ? ? ?
? ? ? ?
?
0.006 2 0.005 0.04
0.6 0.5 4
?
? ? ?
2
100 4 10 100
100 4%
?
?
?
?
?
?
? ? ? ?
?
??
2 
4. A system of two blocks of masses m = 2 kg and
M = 8 kg is placed on a smooth table as shown in
figure. The coefficient of static friction between
two blocks is 0.5. The maximum horizontal force F
that can be applied to the block of mass M so that
the blocks move together will be :
(A) 9.8 N (B) 39.2 N
(C) 49 N (D) 78.4 N
Official Ans. by NTA (C) 
 
Sol. 
m
8kg
0.5
2kg
? ?
2
max
0.5 4.9 /
A
a g m s ??
For moving together 
max
10 4.9
49
TA
F m a
N
?
??
?
5. Two blocks of masses 10 kg and 30 kg are placed
on the same straight line with coordinates (0, 0) cm
and (x, 0) cm respectively. The block of 10 kg is
moved on the same line through a distance of 6 cm
towards the other block. The distance through
which the block of 30 kg must be moved to keep
the position of centre of mass of the system
unchanged is :
(A) 4 cm towards the 10 kg block
(B) 2 cm away from the 10 kg block
(C) 2 cm towards the 10 kg block
(D) 4 cm away from the 10 kg block
Official Ans. by NTA (C) 
 
Sol. 
1 1 2 2
12
G
m x m x
x
mm
? ? ?
??
?
? ?
2
10 6 30
0
40
x ? ? ?
?
2
2 x cm ? ? ?
Block of mass 30 kg will to move towards 10 kg. 
6. A 72 ? galvanometer is shunted by a resistance of
8 ? . The percentage of the total current which
passes through the galvanometer is :
(A) 0.1% (B) 10 %
(C) 25% (D) 0.25%
Official Ans. by NTA (B) 
 
Sol. 
1
G
g
R
S
I
I
?
?
72
8
1
g
I
I
?
?
19
g
I
I
??
1
10 % 100 10%
10
gg
g
II
I
I
I I I
? ? ? ? ? ?
7. Given below are two statements :
Statement I :  The law of gravitation holds good
for any pair of bodies in the universe.
Statement II : The weight of any person becomes
zero when the person is at the centre of the earth.
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 are false
(D) Statement I is false but Statement II is true
Official Ans. by NTA (A) 
 
Sol. Since it is universal law so it hold good for any 
pair of bodies.  
The value of g at centre is zero.  
So statement I and Statement II are true. 
3 
8. What percentage of kinetic energy of a moving
particle is transferred to a stationary particle when
it strikes the stationary particle of 5 times its mass?
(Assume the collision to be head-on elastic
collision)
(A) 50.0% (B) 66.6%
(C) 55.5% (D) 33.3%
Official Ans. by NTA (C)
Sol. Velocity after collision 
? ?
2 1 2 1 1
2
12
2 m m u mu
V
mm
??
?
?
? ? ??
??
?
0 0
2
5 0 2 .
53
m m mu u
V
mm
 
2
0
2
0
1
50
23
% 100
1
2
u
m
KE
mu
??
?
??
??
? ? ?
2
0
2
0
5 500
100 55.6%
9 9
u
u
? ? ? ?
9. The velocity of a small ball of mass ‘m’ and
density d
1
, when dropped in a container filled with
glycerine, becomes constant after some time. If the
density of glycerine is d
2
, then the viscous force
acting on the ball, will be :
(A) 
1
2
1
d
mg
d
??
?
??
??
(B) 
2
1
1
d
mg
d
??
?
??
??
(C) 
1
2
1
d
mg
d
??
?
??
??
(D) 
2
1
1
d
mg
d
??
?
??
??
Official Ans. by NTA (B) 
 
Sol. 
2
1
2
1
1
VB
F mg F
m
mg d g
d
d
mg
d
??
??
? ? ?
??
??
??
??
??
??
10. The susceptibility of a paramagnetic material is 99.
The permeability of the material in Wb/A-m is :
[Permeability of free space
7
0
4 10 / Wb A m ??
?
? ? ? ] 
(A) 
7
4 10 ?
?
? (B) 
4
4 10 ?
?
?
(C) 
5
4 10 ?
?
? (D) 
6
4 10 ?
?
?
Official Ans. by NTA (C) 
 
Sol. Susceptibility ? = 99 
? ?
0
0
7
5
1
1
4 10 1 99
4 10
r
?
??
?
? ? ?
?
?
?
?
? ? ?
??
? ? ? ??
??
??
11. The current flowing through an ac circuit is given
by
? ? 5sin 120 I t A ? ?
How long will the current take to reach the peak
value starting from zero?
(A) 
1
60
s (B) 60s
(C) 
1
120
s (D) 
1
240
s
Official Ans. by NTA (D) 
 
Sol. 
21
120
60
?
?? ? ? ? ? T
T
 sec 
time taken to reach peak value 
1
4 240
T
s ??
12. Mach List-I with List – II :
List – I List – II 
Choose the correct answer from the options given 
below : 
(A) (a) – (iii), (b) – (iv), (c) – (ii), (d) – (i)
(B) (a) – (iii), (b) – (i), (c) – (ii), (d) – (iv)
(C) (a) – (iv), (b) – (iii), (c) – (ii), (d) – (i)
(D) (a) – (iii), (b) – (iv), (c) – (i), (d) – (ii)
Official Ans. by NTA (A) 
 
Sol. (Fact) 
List-I List-Ii 
(a) Ultraviolet 
rays 
(i) Study crystal 
structure 
(b) Microwaves (ii) Greenhouse 
effect 
(c) Infrared 
waves 
(iii) Sterilizing 
surgical 
instrument 
(d) X-rays (iv) Radar system 
4 
13. An ? particle and a carbon 12 atom has same
kinetic energy K. The ratio of their de-Broglie
wavelength ? ?
12
:
aC
?? is :
(A) 1: 3 (B) 3:1
(C) 3 : 1 (D) 2: 3
Official Ans. by NTA (B) 
 
Sol. 
2
2
P
k P m
m
? ??
Now 
h
p
? ?
So, 
11
p m
? ? ? ? ?
12
3
1
?
?
?
?
C
14. A force of 10N acts on a charged particle placed
between two plates of a charged capacitor. If one
plate of capacitor is removed, then the force acting
on that particle will be :
(A) 5 N (B) 10 N
(C) 20 N (D) Zero
Official Ans. by NTA (A) 
 
Sol. 
-Q
+ –
+
+
+
–
–
–
E
00
10
??
? ? ? ?
??
??
??
Q qQ
F qE q N
AA
Now, when one plate is removed. 
+
+
+
+
+
+
+
Q
2
Q
2
E ’
q
0
'
2
Q
E
A
?
?
0
'5
2
? ? ?
?
Qq
F qE N
A
15. The displacement of simple harmonic oscillator
after 3 seconds starting from its mean position is
equal to half of its amplitude. The time period of
harmonic motion is :
(A) 6 s (B) 8 s
(C) 12s (D) 36 s
Official Ans. by NTA (D) 
 
Sol. sin 3,
2
?
??
? ? ?
??
??
A
X A t t X
sin3
2
? ??
A
A
1
sin3
2
? ??
3
6
?
? ??
2
18
??
? ? ? ?
T
36 ?? Ts
16. An observer moves towards a stationary source of
sound with a velocity equal to one-fifth of the
velocity of sound. The percentage change in the
frequency will be :
(A) 20% (B) 10%
(C) 5% (D) 0%
Official Ans. by NTA (A) 
 
Sol. 
0
0 s
vv
ff
v
? ??
?
??
??
0
5
s
v
v
ff
v
??
?
??
?
??
??
??
??
0
6
5
s
ff ?
% change = 
0
100
s
s
ff
f
?
?
1
100 20%
5
? ? ?
Page 5


 1 
FINAL JEE –MAIN EXAMINATION – JUNE, 2022 
(Held On Monday 27
th
 June, 2022)    TIME : 9:00 AM  to  12:00 PM 
PHYSICS TEST PAPER WITH SOLUTION 
 
 
SECTION-A 
1. A projectile is launched at an angle ‘ ?’ with the
horizontal with a velocity 20 ms
-1
 . After 10 s, its
inclination with horizontal is ‘ ?’. The value of tan ?
will be : (g = 10 ms
-2
)
(A) tan 5sec ?? ? (B) tan 5sec ?? ?
(C) 2tan 5sec ?? ? (D) 2tan 5sec ?? ?
Official Ans. by NTA (B) 
 
Sol. 
?
20m/s
?
20cos
xx
vu ? ??
20sin 10 10
y
v ? ? ? ?
20sin 100
tan
20cos
y
x
v
v
?
?
?
?
??
tan 5sec ?? ??
2. A girl standing on road holds her umbrella at 45º
with the vertical to keep the rain away. If she starts
running without umbrella with a speed of
1
15 2kmh
?
, the rain drops hit her head 
vertically. The speed of rain drops with respect to 
the moving girl is :  
(A) 
1
30kmh
?
(B) 
1
25
2
kmh
?
(C) 
1
30
2
kmh
?
(D) 
1
25kmh
?
Official Ans. by NTA (C) 
 
Sol. 
B
C
45º
V
R,G
V
G
V
R
V = tan
G
RG
V
V
? ?
1 15 2
G
RG
RG
V
V
V
? ? ?
3. A sliver wire has mass ? ? 0.6 0.006 ? g, radius
? ? 0.5 0.005 ? mm and length ? ? 4 0.04 ? cm. The 
maximum percentage error in the measurement of 
its density will be :
(A) 4% (B) 3%
(C) 6% (D) 7%
Official Ans. by NTA (A) 
 
Sol. ? ? 0.6 0.006 Mg ??
? ? 0.5 0.005 r mm ??
? ? 4 0.04 l cm ??
? ?
2
2
m
V
m r l
m r l
Volumeofcylinder r l
?
?
?
?
?
? ? ? ?
? ? ? ?
?
0.006 2 0.005 0.04
0.6 0.5 4
?
? ? ?
2
100 4 10 100
100 4%
?
?
?
?
?
?
? ? ? ?
?
??
2 
4. A system of two blocks of masses m = 2 kg and
M = 8 kg is placed on a smooth table as shown in
figure. The coefficient of static friction between
two blocks is 0.5. The maximum horizontal force F
that can be applied to the block of mass M so that
the blocks move together will be :
(A) 9.8 N (B) 39.2 N
(C) 49 N (D) 78.4 N
Official Ans. by NTA (C) 
 
Sol. 
m
8kg
0.5
2kg
? ?
2
max
0.5 4.9 /
A
a g m s ??
For moving together 
max
10 4.9
49
TA
F m a
N
?
??
?
5. Two blocks of masses 10 kg and 30 kg are placed
on the same straight line with coordinates (0, 0) cm
and (x, 0) cm respectively. The block of 10 kg is
moved on the same line through a distance of 6 cm
towards the other block. The distance through
which the block of 30 kg must be moved to keep
the position of centre of mass of the system
unchanged is :
(A) 4 cm towards the 10 kg block
(B) 2 cm away from the 10 kg block
(C) 2 cm towards the 10 kg block
(D) 4 cm away from the 10 kg block
Official Ans. by NTA (C) 
 
Sol. 
1 1 2 2
12
G
m x m x
x
mm
? ? ?
??
?
? ?
2
10 6 30
0
40
x ? ? ?
?
2
2 x cm ? ? ?
Block of mass 30 kg will to move towards 10 kg. 
6. A 72 ? galvanometer is shunted by a resistance of
8 ? . The percentage of the total current which
passes through the galvanometer is :
(A) 0.1% (B) 10 %
(C) 25% (D) 0.25%
Official Ans. by NTA (B) 
 
Sol. 
1
G
g
R
S
I
I
?
?
72
8
1
g
I
I
?
?
19
g
I
I
??
1
10 % 100 10%
10
gg
g
II
I
I
I I I
? ? ? ? ? ?
7. Given below are two statements :
Statement I :  The law of gravitation holds good
for any pair of bodies in the universe.
Statement II : The weight of any person becomes
zero when the person is at the centre of the earth.
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 are false
(D) Statement I is false but Statement II is true
Official Ans. by NTA (A) 
 
Sol. Since it is universal law so it hold good for any 
pair of bodies.  
The value of g at centre is zero.  
So statement I and Statement II are true. 
3 
8. What percentage of kinetic energy of a moving
particle is transferred to a stationary particle when
it strikes the stationary particle of 5 times its mass?
(Assume the collision to be head-on elastic
collision)
(A) 50.0% (B) 66.6%
(C) 55.5% (D) 33.3%
Official Ans. by NTA (C)
Sol. Velocity after collision 
? ?
2 1 2 1 1
2
12
2 m m u mu
V
mm
??
?
?
? ? ??
??
?
0 0
2
5 0 2 .
53
m m mu u
V
mm
 
2
0
2
0
1
50
23
% 100
1
2
u
m
KE
mu
??
?
??
??
? ? ?
2
0
2
0
5 500
100 55.6%
9 9
u
u
? ? ? ?
9. The velocity of a small ball of mass ‘m’ and
density d
1
, when dropped in a container filled with
glycerine, becomes constant after some time. If the
density of glycerine is d
2
, then the viscous force
acting on the ball, will be :
(A) 
1
2
1
d
mg
d
??
?
??
??
(B) 
2
1
1
d
mg
d
??
?
??
??
(C) 
1
2
1
d
mg
d
??
?
??
??
(D) 
2
1
1
d
mg
d
??
?
??
??
Official Ans. by NTA (B) 
 
Sol. 
2
1
2
1
1
VB
F mg F
m
mg d g
d
d
mg
d
??
??
? ? ?
??
??
??
??
??
??
10. The susceptibility of a paramagnetic material is 99.
The permeability of the material in Wb/A-m is :
[Permeability of free space
7
0
4 10 / Wb A m ??
?
? ? ? ] 
(A) 
7
4 10 ?
?
? (B) 
4
4 10 ?
?
?
(C) 
5
4 10 ?
?
? (D) 
6
4 10 ?
?
?
Official Ans. by NTA (C) 
 
Sol. Susceptibility ? = 99 
? ?
0
0
7
5
1
1
4 10 1 99
4 10
r
?
??
?
? ? ?
?
?
?
?
? ? ?
??
? ? ? ??
??
??
11. The current flowing through an ac circuit is given
by
? ? 5sin 120 I t A ? ?
How long will the current take to reach the peak
value starting from zero?
(A) 
1
60
s (B) 60s
(C) 
1
120
s (D) 
1
240
s
Official Ans. by NTA (D) 
 
Sol. 
21
120
60
?
?? ? ? ? ? T
T
 sec 
time taken to reach peak value 
1
4 240
T
s ??
12. Mach List-I with List – II :
List – I List – II 
Choose the correct answer from the options given 
below : 
(A) (a) – (iii), (b) – (iv), (c) – (ii), (d) – (i)
(B) (a) – (iii), (b) – (i), (c) – (ii), (d) – (iv)
(C) (a) – (iv), (b) – (iii), (c) – (ii), (d) – (i)
(D) (a) – (iii), (b) – (iv), (c) – (i), (d) – (ii)
Official Ans. by NTA (A) 
 
Sol. (Fact) 
List-I List-Ii 
(a) Ultraviolet 
rays 
(i) Study crystal 
structure 
(b) Microwaves (ii) Greenhouse 
effect 
(c) Infrared 
waves 
(iii) Sterilizing 
surgical 
instrument 
(d) X-rays (iv) Radar system 
4 
13. An ? particle and a carbon 12 atom has same
kinetic energy K. The ratio of their de-Broglie
wavelength ? ?
12
:
aC
?? is :
(A) 1: 3 (B) 3:1
(C) 3 : 1 (D) 2: 3
Official Ans. by NTA (B) 
 
Sol. 
2
2
P
k P m
m
? ??
Now 
h
p
? ?
So, 
11
p m
? ? ? ? ?
12
3
1
?
?
?
?
C
14. A force of 10N acts on a charged particle placed
between two plates of a charged capacitor. If one
plate of capacitor is removed, then the force acting
on that particle will be :
(A) 5 N (B) 10 N
(C) 20 N (D) Zero
Official Ans. by NTA (A) 
 
Sol. 
-Q
+ –
+
+
+
–
–
–
E
00
10
??
? ? ? ?
??
??
??
Q qQ
F qE q N
AA
Now, when one plate is removed. 
+
+
+
+
+
+
+
Q
2
Q
2
E ’
q
0
'
2
Q
E
A
?
?
0
'5
2
? ? ?
?
Qq
F qE N
A
15. The displacement of simple harmonic oscillator
after 3 seconds starting from its mean position is
equal to half of its amplitude. The time period of
harmonic motion is :
(A) 6 s (B) 8 s
(C) 12s (D) 36 s
Official Ans. by NTA (D) 
 
Sol. sin 3,
2
?
??
? ? ?
??
??
A
X A t t X
sin3
2
? ??
A
A
1
sin3
2
? ??
3
6
?
? ??
2
18
??
? ? ? ?
T
36 ?? Ts
16. An observer moves towards a stationary source of
sound with a velocity equal to one-fifth of the
velocity of sound. The percentage change in the
frequency will be :
(A) 20% (B) 10%
(C) 5% (D) 0%
Official Ans. by NTA (A) 
 
Sol. 
0
0 s
vv
ff
v
? ??
?
??
??
0
5
s
v
v
ff
v
??
?
??
?
??
??
??
??
0
6
5
s
ff ?
% change = 
0
100
s
s
ff
f
?
?
1
100 20%
5
? ? ?
5 
17. Consider a light ray travelling in air is incident into
a medium of refractive index 2n . The incident 
angle is twice that of refracting angle. Then, the 
angle of incidence will be :   
(A) 
? ?
1
sin n
?
(B) 
1
cos
2
n
?
??
??
??
??
(C) 
? ?
1
sin 2n
?
(D) 
1
2cos
2
n
?
??
??
??
??
Official Ans. by NTA (D) 
 
Sol. 
12
2
sin sin
sin 1 sin 2
2
sin
2
sin
2
ir
i n r n
i
in
i
n
i
?
? ? ?
? ? ?
?
2sin cos
22
2
sin
2
ii
n
i
?
cos
22
in
?
1
cos
22
in
?
??
?
??
??
??
 
1
2cos
2
n
i
?
??
?
??
??
??
 
18. A hydrogen atom in is ground state absorbs 10.2
eV of energy. The angular momentum of electron
of the hydrogen atom will increase by the value of
: (Given, Plank’s constant = 6.6 × 10
–34
 Js)
(A) 
34
2.10 10 Js
?
? (B) 
34
1.05 10 Js
?
?
(C) 
34
3.15 10 Js
?
? (D) 
34
4.2 10 Js
?
?
Official Ans. by NTA (B) 
 
Sol. 
??
??
??
??
22
11
13.6 10.2
1 n
?2 n
??1
2
i
h
L
?
2
2
F
h
L
?
?
?
?
? ? ? ? ?
?
34
6.6 10
22
2
2
7
Fi
h
L L L
?
?
? ? ?
34
1.05 10 Js
19. Identify the correct Logic Gate for the following
output (Y) of two inputs A and B.
(A) 
(B) 
(C) 
(D) 
Official Ans. by NTA (B) 
 
Sol.