Mechanical Properties of Solids: JEE Main Previous Year Questions (2021-2026)

 Page 1


Previous Year Questions (2021-24): 
Mechanical Properties of Solids 
Q1 - 2024 (01 Feb Shift 1) 
With rise in temperature, the Young's modulus of elasticity 
(1) changes erratically 
(2) decreases 
(3) increases 
(4) remains unchanged 
Q2 - 2024 (01 Feb Shift 2) 
One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the 
other end. A similar wire is attached to the bottom of the load and another load of 
1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire 
to that of the lower wire will be 
[Area of cross section of wire = 0.005 cm
2
, Y = 2 × 10
11
Nm
-2
 and g = 10 ms
-2
 ] 
Q3 - 2024 (27 Jan Shift 1) 
If average depth of an ocean is 4000 m and the bulk modulus of water is 
2 × 10
9
Nm
-2
, then fractional compression 
??? ?? of water at the bottom of ocean is 
?? × 10
-2
. The value of ?? is (Given, g = 10 ms
-2
, ?? = 1000 kg m
-3
) 
Q4 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as Assertion (A) and the other 
is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which 
it tends to regain its original shape when the external force is removed, is 
Elasticity. 
Reason (R) : The restoring force depends upon the bonded inter atomic and inter 
molecular force of solid. In the light of the above statements, choose the correct 
answer from the options given below : 
(1) (A) is false but (R) is true 
(2) (A) is true but (R) is false 
Page 2


Previous Year Questions (2021-24): 
Mechanical Properties of Solids 
Q1 - 2024 (01 Feb Shift 1) 
With rise in temperature, the Young's modulus of elasticity 
(1) changes erratically 
(2) decreases 
(3) increases 
(4) remains unchanged 
Q2 - 2024 (01 Feb Shift 2) 
One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the 
other end. A similar wire is attached to the bottom of the load and another load of 
1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire 
to that of the lower wire will be 
[Area of cross section of wire = 0.005 cm
2
, Y = 2 × 10
11
Nm
-2
 and g = 10 ms
-2
 ] 
Q3 - 2024 (27 Jan Shift 1) 
If average depth of an ocean is 4000 m and the bulk modulus of water is 
2 × 10
9
Nm
-2
, then fractional compression 
??? ?? of water at the bottom of ocean is 
?? × 10
-2
. The value of ?? is (Given, g = 10 ms
-2
, ?? = 1000 kg m
-3
) 
Q4 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as Assertion (A) and the other 
is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which 
it tends to regain its original shape when the external force is removed, is 
Elasticity. 
Reason (R) : The restoring force depends upon the bonded inter atomic and inter 
molecular force of solid. In the light of the above statements, choose the correct 
answer from the options given below : 
(1) (A) is false but (R) is true 
(2) (A) is true but (R) is false 
(3) Both (A) and (R) are true and (R) is the correct explanation (A) 
(4) Both (A) and (R) are true but (R) is not the correct explanation of (A) 
Q5 - 2024 (29 Jan Shift 2) 
A wire of length ?? and radius ?? is clamped at one end. If its other end is pulled by 
a force F, its length increases by ?? . If the radius of the wire and the applied force 
both are reduced to half of their original values keeping original length constant, 
the increase in length will become. 
(1) 3 times 
(2) 3/2 times 
(3) 4 times 
(4) 2 times 
Q6 - 2024 (29 Jan Shift 2) 
Two metallic wires P and Q have same volume and are made up of same 
material. If their area of cross sections are in the ratio 4: 1 and force ?? 1
 is applied 
to P, an extension of ? ?? is produced. The force which is required to produce same 
extension in Q is F
2
. 
The value of 
?? 1
?? 2
 is $ \qquad $ 
Q7 - 2024 (30 Jan Shift 1) 
Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the 
wire A and B has crosssectional area 0.005 cm
2
 and Young's modulus 2 ×
10
11
 N m
-2
. Neglecting friction, the longitudinal strain on wire B is $ \qquad $ 
× 10
-4
· ( Take g = 10 m/s
2
) 
R $ \qquad $ 
Q8 - 2024 (31 Jan Shift 1) 
The depth below the surface of sea to which a rubber ball be taken so as to 
decrease its volume by 0.02% is $ \qquad $ m. 
(Take density of sea water = 10
3
kgm
-3
, Bulk modulus of rubber = 9 × 10
8
Nm
-2
, 
and g = 10 ms
-2
 ) 
Q9 - 2024 (31 Jan Shift 2) 
Page 3


Previous Year Questions (2021-24): 
Mechanical Properties of Solids 
Q1 - 2024 (01 Feb Shift 1) 
With rise in temperature, the Young's modulus of elasticity 
(1) changes erratically 
(2) decreases 
(3) increases 
(4) remains unchanged 
Q2 - 2024 (01 Feb Shift 2) 
One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the 
other end. A similar wire is attached to the bottom of the load and another load of 
1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire 
to that of the lower wire will be 
[Area of cross section of wire = 0.005 cm
2
, Y = 2 × 10
11
Nm
-2
 and g = 10 ms
-2
 ] 
Q3 - 2024 (27 Jan Shift 1) 
If average depth of an ocean is 4000 m and the bulk modulus of water is 
2 × 10
9
Nm
-2
, then fractional compression 
??? ?? of water at the bottom of ocean is 
?? × 10
-2
. The value of ?? is (Given, g = 10 ms
-2
, ?? = 1000 kg m
-3
) 
Q4 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as Assertion (A) and the other 
is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which 
it tends to regain its original shape when the external force is removed, is 
Elasticity. 
Reason (R) : The restoring force depends upon the bonded inter atomic and inter 
molecular force of solid. In the light of the above statements, choose the correct 
answer from the options given below : 
(1) (A) is false but (R) is true 
(2) (A) is true but (R) is false 
(3) Both (A) and (R) are true and (R) is the correct explanation (A) 
(4) Both (A) and (R) are true but (R) is not the correct explanation of (A) 
Q5 - 2024 (29 Jan Shift 2) 
A wire of length ?? and radius ?? is clamped at one end. If its other end is pulled by 
a force F, its length increases by ?? . If the radius of the wire and the applied force 
both are reduced to half of their original values keeping original length constant, 
the increase in length will become. 
(1) 3 times 
(2) 3/2 times 
(3) 4 times 
(4) 2 times 
Q6 - 2024 (29 Jan Shift 2) 
Two metallic wires P and Q have same volume and are made up of same 
material. If their area of cross sections are in the ratio 4: 1 and force ?? 1
 is applied 
to P, an extension of ? ?? is produced. The force which is required to produce same 
extension in Q is F
2
. 
The value of 
?? 1
?? 2
 is $ \qquad $ 
Q7 - 2024 (30 Jan Shift 1) 
Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the 
wire A and B has crosssectional area 0.005 cm
2
 and Young's modulus 2 ×
10
11
 N m
-2
. Neglecting friction, the longitudinal strain on wire B is $ \qquad $ 
× 10
-4
· ( Take g = 10 m/s
2
) 
R $ \qquad $ 
Q8 - 2024 (31 Jan Shift 1) 
The depth below the surface of sea to which a rubber ball be taken so as to 
decrease its volume by 0.02% is $ \qquad $ m. 
(Take density of sea water = 10
3
kgm
-3
, Bulk modulus of rubber = 9 × 10
8
Nm
-2
, 
and g = 10 ms
-2
 ) 
Q9 - 2024 (31 Jan Shift 2) 
Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a 
smooth pulley as shown in figure. The radius of wire is 4.0 × 10
-5
 m and Young's 
modulus of the metal is 2.0 × 10
11
 N/m
2
. The longitudinal strain developed in the 
wire is 
1
????
. The value of ?? is $ \qquad $ [ Use g = 10 m/s
2
) 
 
Answer Key 
Q1(Conceptual question) 
Q2 (3) 
Q3 (2) 
Q4 (3) 
Q5 (4) 
Q6 (16) 
Q7 (2) 
Q8 (18) 
Q9 (12) 
 
 
Page 4


Previous Year Questions (2021-24): 
Mechanical Properties of Solids 
Q1 - 2024 (01 Feb Shift 1) 
With rise in temperature, the Young's modulus of elasticity 
(1) changes erratically 
(2) decreases 
(3) increases 
(4) remains unchanged 
Q2 - 2024 (01 Feb Shift 2) 
One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the 
other end. A similar wire is attached to the bottom of the load and another load of 
1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire 
to that of the lower wire will be 
[Area of cross section of wire = 0.005 cm
2
, Y = 2 × 10
11
Nm
-2
 and g = 10 ms
-2
 ] 
Q3 - 2024 (27 Jan Shift 1) 
If average depth of an ocean is 4000 m and the bulk modulus of water is 
2 × 10
9
Nm
-2
, then fractional compression 
??? ?? of water at the bottom of ocean is 
?? × 10
-2
. The value of ?? is (Given, g = 10 ms
-2
, ?? = 1000 kg m
-3
) 
Q4 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as Assertion (A) and the other 
is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which 
it tends to regain its original shape when the external force is removed, is 
Elasticity. 
Reason (R) : The restoring force depends upon the bonded inter atomic and inter 
molecular force of solid. In the light of the above statements, choose the correct 
answer from the options given below : 
(1) (A) is false but (R) is true 
(2) (A) is true but (R) is false 
(3) Both (A) and (R) are true and (R) is the correct explanation (A) 
(4) Both (A) and (R) are true but (R) is not the correct explanation of (A) 
Q5 - 2024 (29 Jan Shift 2) 
A wire of length ?? and radius ?? is clamped at one end. If its other end is pulled by 
a force F, its length increases by ?? . If the radius of the wire and the applied force 
both are reduced to half of their original values keeping original length constant, 
the increase in length will become. 
(1) 3 times 
(2) 3/2 times 
(3) 4 times 
(4) 2 times 
Q6 - 2024 (29 Jan Shift 2) 
Two metallic wires P and Q have same volume and are made up of same 
material. If their area of cross sections are in the ratio 4: 1 and force ?? 1
 is applied 
to P, an extension of ? ?? is produced. The force which is required to produce same 
extension in Q is F
2
. 
The value of 
?? 1
?? 2
 is $ \qquad $ 
Q7 - 2024 (30 Jan Shift 1) 
Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the 
wire A and B has crosssectional area 0.005 cm
2
 and Young's modulus 2 ×
10
11
 N m
-2
. Neglecting friction, the longitudinal strain on wire B is $ \qquad $ 
× 10
-4
· ( Take g = 10 m/s
2
) 
R $ \qquad $ 
Q8 - 2024 (31 Jan Shift 1) 
The depth below the surface of sea to which a rubber ball be taken so as to 
decrease its volume by 0.02% is $ \qquad $ m. 
(Take density of sea water = 10
3
kgm
-3
, Bulk modulus of rubber = 9 × 10
8
Nm
-2
, 
and g = 10 ms
-2
 ) 
Q9 - 2024 (31 Jan Shift 2) 
Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a 
smooth pulley as shown in figure. The radius of wire is 4.0 × 10
-5
 m and Young's 
modulus of the metal is 2.0 × 10
11
 N/m
2
. The longitudinal strain developed in the 
wire is 
1
????
. The value of ?? is $ \qquad $ [ Use g = 10 m/s
2
) 
 
Answer Key 
Q1(Conceptual question) 
Q2 (3) 
Q3 (2) 
Q4 (3) 
Q5 (4) 
Q6 (16) 
Q7 (2) 
Q8 (18) 
Q9 (12) 
 
 
Solutions 
Q1 
Conceptual questions 
Q2 
 
?? 1
= 30 N
2 kg
 T
2
= 10 N
1 kg
 
? L
L
=
F
AY
 
? L
1
 L
1
? L
2
 L
2
=
F
1
 F
2
=
30
10
= 3 
Q3 
B = -
? P
(
? V
V
)
 
- (
? V
V
) =
?? gh
B
=
1000× 10 × 4000
2 × 10
9
 
= 2 × 10
-2
[-ve sign represent compression ] 
Q4 
Theory 
Q5 
Y =
 stress 
 strain 
 
Y =
F
l
2
l
L
 
F = Y?? r
2
×
l
L
. 
Page 5


Previous Year Questions (2021-24): 
Mechanical Properties of Solids 
Q1 - 2024 (01 Feb Shift 1) 
With rise in temperature, the Young's modulus of elasticity 
(1) changes erratically 
(2) decreases 
(3) increases 
(4) remains unchanged 
Q2 - 2024 (01 Feb Shift 2) 
One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the 
other end. A similar wire is attached to the bottom of the load and another load of 
1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire 
to that of the lower wire will be 
[Area of cross section of wire = 0.005 cm
2
, Y = 2 × 10
11
Nm
-2
 and g = 10 ms
-2
 ] 
Q3 - 2024 (27 Jan Shift 1) 
If average depth of an ocean is 4000 m and the bulk modulus of water is 
2 × 10
9
Nm
-2
, then fractional compression 
??? ?? of water at the bottom of ocean is 
?? × 10
-2
. The value of ?? is (Given, g = 10 ms
-2
, ?? = 1000 kg m
-3
) 
Q4 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as Assertion (A) and the other 
is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which 
it tends to regain its original shape when the external force is removed, is 
Elasticity. 
Reason (R) : The restoring force depends upon the bonded inter atomic and inter 
molecular force of solid. In the light of the above statements, choose the correct 
answer from the options given below : 
(1) (A) is false but (R) is true 
(2) (A) is true but (R) is false 
(3) Both (A) and (R) are true and (R) is the correct explanation (A) 
(4) Both (A) and (R) are true but (R) is not the correct explanation of (A) 
Q5 - 2024 (29 Jan Shift 2) 
A wire of length ?? and radius ?? is clamped at one end. If its other end is pulled by 
a force F, its length increases by ?? . If the radius of the wire and the applied force 
both are reduced to half of their original values keeping original length constant, 
the increase in length will become. 
(1) 3 times 
(2) 3/2 times 
(3) 4 times 
(4) 2 times 
Q6 - 2024 (29 Jan Shift 2) 
Two metallic wires P and Q have same volume and are made up of same 
material. If their area of cross sections are in the ratio 4: 1 and force ?? 1
 is applied 
to P, an extension of ? ?? is produced. The force which is required to produce same 
extension in Q is F
2
. 
The value of 
?? 1
?? 2
 is $ \qquad $ 
Q7 - 2024 (30 Jan Shift 1) 
Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the 
wire A and B has crosssectional area 0.005 cm
2
 and Young's modulus 2 ×
10
11
 N m
-2
. Neglecting friction, the longitudinal strain on wire B is $ \qquad $ 
× 10
-4
· ( Take g = 10 m/s
2
) 
R $ \qquad $ 
Q8 - 2024 (31 Jan Shift 1) 
The depth below the surface of sea to which a rubber ball be taken so as to 
decrease its volume by 0.02% is $ \qquad $ m. 
(Take density of sea water = 10
3
kgm
-3
, Bulk modulus of rubber = 9 × 10
8
Nm
-2
, 
and g = 10 ms
-2
 ) 
Q9 - 2024 (31 Jan Shift 2) 
Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a 
smooth pulley as shown in figure. The radius of wire is 4.0 × 10
-5
 m and Young's 
modulus of the metal is 2.0 × 10
11
 N/m
2
. The longitudinal strain developed in the 
wire is 
1
????
. The value of ?? is $ \qquad $ [ Use g = 10 m/s
2
) 
 
Answer Key 
Q1(Conceptual question) 
Q2 (3) 
Q3 (2) 
Q4 (3) 
Q5 (4) 
Q6 (16) 
Q7 (2) 
Q8 (18) 
Q9 (12) 
 
 
Solutions 
Q1 
Conceptual questions 
Q2 
 
?? 1
= 30 N
2 kg
 T
2
= 10 N
1 kg
 
? L
L
=
F
AY
 
? L
1
 L
1
? L
2
 L
2
=
F
1
 F
2
=
30
10
= 3 
Q3 
B = -
? P
(
? V
V
)
 
- (
? V
V
) =
?? gh
B
=
1000× 10 × 4000
2 × 10
9
 
= 2 × 10
-2
[-ve sign represent compression ] 
Q4 
Theory 
Q5 
Y =
 stress 
 strain 
 
Y =
F
l
2
l
L
 
F = Y?? r
2
×
l
L
. 
Y =
Fr /2
? l
2
 L
 
F = Y
? l
L
× 2 ×
?? r
2
4
 
From (i) 
Y?? r
2
l
L
= Y
? l
L
?? r
2
2
 
? l = 2l 
Q6 
Y =
 Stress 
 Strain 
=
F/A
? l/l
=
Fl
A ? l
 
? l =
Fl
AY
 
V = A l ? l =
V
A
 
? l =
FV
A
2
Y
 
Y \ & V is same for both the wires 
? l ?
F
A
2
 
? l
1
? l
2
=
?? 1
?? 1
2
×
?? 2
2
?? 2
 
? l
1
= ? l
2
 
F
1
 A
2
2
= F
2
 A
1
2
 
?? 1
?? 2
=
?? 1
2
?? 2
2
= (
4
1
)
2
= 16