JEE Main Physics · Mechanical Properties of Solids

Elastic Moduli

Elastic Moduli (Mechanical Properties of Solids) was asked 13 times in 12 JEE Main shifts, 2021–2026, out of the 42 shifts Lumi analysed. 5 of the 13 had a numerical answer.

Times asked: 13; in 12 shifts
Years: 2021–2026
Usual format: Single correct; Calculation
Pattern: Asked most years; repeats across shifts

How it is asked

Percentage volume change from bulk modulus
Effect of dimension change on modulus

Difficulty

Easy 10Medium 3Hard 0

Where it sits

Chapter: Mechanical Properties of Solids. Topic: Elasticity, 35 questions over 12 ideas.

All 13 questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 1 · Q27The increase in the pressure required to decrease the volume ( $\Delta V$ ) of water is $6.3\times10^{7}\ \mathrm{N/m^2}$ . The percentage…EasySingle correct
5 Apr 2026, Shift 1 · Q31The 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…EasySingle correct
5 Apr 2026, Shift 1 · Q46A 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…EasyNumerical value
6 Apr 2026, Shift 2 · Q33Figure represents the extension ( $\Delta l$ ) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load…EasySingle correctHas a figure
4 Apr 2025, Shift 2 · Q32A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of $10^5$ N at the top.…MediumSingle correct
7 Apr 2025, Shift 1 · Q32Two wires A and B are made of same material having ratio of lengths $\frac{L_A}{L_B} = \frac{1}{3}$ and their diameters ratio…EasySingle correct
8 Apr 2025, Shift 2 · Q48A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of 0.8 cm $^3$ . If the bulk modulus of the…EasyNumerical value
9 Apr 2024, Shift 1 · Q53Two persons pull a wire towards themselves. Each person exerts a force of $200$ N on the wire. Young's modulus of the material of wire is…EasyNumerical value
25 Jul 2022, Shift 1 · Q53A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $F$ , its length…MediumNumerical value
28 Jul 2022, Shift 1 · Q36The force required to stretch a wire of cross-section $1\ \mathrm{cm^2}$ to double its length will be : (Given Yong's modulus of the wire…EasySingle correct
24 Jun 2022, Shift 1 · Q31The bulk modulus of a liquid is $3\times10^{10}\ \mathrm{Nm^{-2}}$ . The pressure required to reduce the volume of liquid by 2% is :EasySingle correct
3 Aug 2021, Shift 2 · Q10The following diagram shows the relation between stress and strain of two materials A and B. The ratio of Young's modulus of A and B is -EasySingle correctHas a figure
18 Mar 2021, Shift 1 · Q28Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the…MediumNumerical value