Mechanical Properties of Solids

13 JEE Main questions · Physics

PhysicsJEE Main 23 Jan 2026, Shift 1·Q10·MCQ·Easy
Open
Elasticity
The strain-stress plot for materials A,B,C and D is shown in the figure. Which material has the largest Young's modulus?
1. (1)C
2. (2)D
3. (3)A
4. (4)B
PhysicsJEE Main 28 Jan 2026, Shift 1·Q14·MCQ·Easy–moderate
Open
Elasticity
Two wires $A$ and $B$ made of different materials of length 6.0 cm and 5.4 cm, respectively and area of cross sections $3.0\times10^{-5}\ \mathrm{m^2}$ and $4.5\times10^{-5}\ \mathrm{m^2}$ , respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of $A$ to that of $B$ is $x:3$ . The value of $x$ is .
1. (1)1
2. (2)4
3. (3)2
4. (4)5
PhysicsJEE Main 2 Apr 2026, Shift 1·Q24·Numerical·Easy–moderate
Open
Elasticity
A uniform wire of length $l$ of weight $w$ is suspended from the roof with a weight of $W$ at the other end. The stress in the wire at $\dfrac{l}{3}$ distance from the top is $\left(\dfrac{W}{A} + \dfrac{2}{\gamma}\dfrac{w}{A}\right)$ , where, $A$ is the cross sectional area of the wire. The value of $\gamma$ is .
We corrected a printing error in the original paper
Answer corrected; the source key is (6) — it takes the weight of the wire below the point as $w/3$ , but at $l/3$ from the top the wire below weighs $2w/3$ , so the stress is $W/A + \frac{2}{3}\,w/A$ and $\gamma = 3$ .
PhysicsJEE Main 4 Apr 2026, Shift 1·Q2·MCQ·Easy–moderate
Open
Elasticity
The increase in the pressure required to decrease the volume ( $\Delta V$ ) of water is $6.3\times10^{7}\ \mathrm{N/m^2}$ . The percentage decrease in the volume is . (Bulk modulus of water $= 2.1\times10^{9}\ \mathrm{N/m^2}$ .)
1. (1)2 %
2. (2)3 %
3. (3)6 %
4. (4)4 %
PhysicsJEE Main 4 Apr 2026, Shift 1·Q9·MCQ·Easy–moderate
Open
Elasticity
A string A of length 0.314 m of Young's modulus $2\times10^{10}\ \mathrm{N/m^2}$ is connected to another string B of length and Young's modulus both twice of those of A. This series combination of strings is then suspended from a rigid support and its free end is fixed to a load of mass 0.8 kg. The net change in length of the combination is mm.
(radius of both the strings is 0.2 mm and acceleration due to gravity $= 10\ \mathrm{m/s^2}$ )
(Mass of both strings is to be neglected as compared to the mass of load)
1. (1)3
2. (2)2
3. (3)1.9
4. (4)1
PhysicsJEE Main 4 Apr 2026, Shift 2·Q6·MCQ·Moderate
Open
Elasticity
A metal string A is suspended from a rigid support and its free end is attached to a block of mass $M$ . Second block having mass $2M$ is suspended at the bottom of the first block using a string B. The area of cross sections of strings A and B are same. The ratio of lengths of strings of A to B is 2 and the ratio of their Young's moduli ( $Y_A/Y_B$ ) is 0.5. The ratio of elongations in A to B is .
1. (1)1
2. (2)4
3. (3)8
4. (4)6
PhysicsJEE Main 5 Apr 2026, Shift 1·Q6·MCQ·Easy
Open
Elasticity
The Young's modulus of steel wire of radius $r$ and length $L$ is $Y$ . If the radius $r$ and length $L$ of the wire are doubled then the value of $Y$
1. (1)increases by two times
2. (2)reduces by half
3. (3)remains unchanged
4. (4)becomes one fourth
PhysicsJEE Main 5 Apr 2026, Shift 1·Q18·MCQ·Moderate
Open
Elasticity
Two wires as shown in the figure below, made of steel and have breaking stress of $12\times10^{8}\ \mathrm{N/m^2}$ . Area of cross-section of upper wire is $0.008\ \mathrm{cm^2}$ and of lower wire is $0.004\ \mathrm{cm^2}$ . The maximum mass that can be added to pan without breaking any wire is kg. (take $g = 10\ \mathrm{m/s^2}$ )
1. (1)56
2. (2)38
3. (3)96
4. (4)5.6
PhysicsJEE Main 5 Apr 2026, Shift 1·Q21·Numerical·Easy–moderate
Open
Elasticity
A cube has side length 5 cm and modulus of rigidity $10^{5}\ \mathrm{N/m^2}$ . The displacement produced by a force of 10 N in the upper face of cube is mm.
PhysicsJEE Main 5 Apr 2026, Shift 2·Q21·Numerical·Easy–moderate
Open
Elasticity
A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is $600\times10^{-6}\ \mathrm{m^3}$ . The elastic potential energy stored in the wire in stretched condition would be J.
(Given Young modulus of copper $= 1.1\times10^{11}\ \mathrm{N/m^2}$ )
PhysicsJEE Main 6 Apr 2026, Shift 1·Q5·MCQ·Easy–moderate
Open
Elasticity
A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4\times10^{8}\ \mathrm{N/m^2}$ and its radius is 4 mm, then maximum acceleration the lift can take is $\mathrm{m/s^2}$ . (take $g = 10\ \mathrm{m/s^2}$ and $\pi = 3.14$ )
1. (1)2.56
2. (2)3.89
3. (3)4.32
4. (4)5.16
PhysicsJEE Main 6 Apr 2026, Shift 1·Q9·MCQ·Easy–moderate
Open
Elasticity
The two wires A and B of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire A and wire B is 20/11. When the joined wire is kept under certain tension the elongations in the wires A and B are equal. If the length of wire A is 2.2 m, then the length of wire B is m.
1. (1)1.1
2. (2)2.22
3. (3)1.21
4. (4)4.44
PhysicsJEE Main 6 Apr 2026, Shift 2·Q8·MCQ·Easy–moderate
Open
Elasticity
Figure represents the extension ( $\Delta l$ ) of a wire of length 1 meter, suspended from the ceiling of the room at one end with load W connected to the other end. If the cross-sectional area of the wire is $10^{-5}\ \mathrm{m^2}$ then the Young's modulus of the wire is $\mathrm{N/m^2}$ .
1. (1) $1.0\times10^{11}$
2. (2) $2.0\times10^{10}$
3. (3) $1.0\times10^{10}$
4. (4) $2.0\times10^{11}$