JEE Main Physics · Mechanical Properties of Solids

Elasticity in JEE Main

Name: Elasticity: JEE Main previous year questions
Creator: Lumi

Elasticity (Physics, Mechanical Properties of Solids) came 35 times in 29 of the 42 JEE Main shifts Lumi analysed, across 12 distinct ideas. 23 of them came in 2024–26; it was last asked in 2026.

Questions: 35; in 29 shifts
Ideas asked: 12; 8 asked more than once
Numerical answer: 14; 40% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 15Medium 19Hard 1

Format

Single correct21 Q
Numerical value14 Q

Ideas inside the topic

12 ideas

Elastic Moduli13 Q
Series and Parallel Composite Wires4 Q
Hooke's Law3 Q
Error Analysis in Searle's Experiment3 Q
Breaking Stress and Breaking Force2 Q
Elastic Energy Density2 Q
Finding Natural Length from Two Tensions2 Q
Stress and Strain Types2 Q
Compression at Liquid Depth1 Q
Elastic Potential Energy1 Q
Searle's Experiment for Young's Modulus1 Q
Elongation Due to Self-Weight1 Q

Where it sits

Part of Mechanical Properties of Solids, which had 31 questions in all. Elasticity accounts for 113% of them. In Lumi's JEE taxonomy it belongs to Properties of Matter.

Some questions sit in other chapters too: Mechanical Properties of Fluids, Units and Measurements.

Every question

All 35 Elasticity questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 1 · Q27The diameter of a wire measured by a screw gauge of least count $0.001$ cm is $0.08$ cm. The length measured by a scale of least count…MediumSingle correct
2 Apr 2026, Shift 1 · Q49A 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…MediumNumerical value
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
4 Apr 2026, Shift 1 · Q34A string $A$ of length $0.314$ m and Young's modulus $2\times10^{10}\ \mathrm{N/m^2}$ is connected to another string $B$ of length and…MediumSingle correct
4 Apr 2026, Shift 2 · Q31A 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…MediumSingle 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 · Q43Two wires as shown in the figure below, made of steel and have breaking stress of $12 \times 10^8\ \mathrm{N/m^2}$ . Area of cross-section…MediumSingle correctHas a figure
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
5 Apr 2026, Shift 2 · Q46A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is…EasyNumerical value
6 Apr 2026, Shift 1 · Q30A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4\times10^8$ N/m $^2$ and…MediumSingle correct
6 Apr 2026, Shift 1 · Q34The two wires $A$ and $B$ of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire $A$ …EasySingle correct
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
2 Apr 2025, Shift 1 · Q46A steel wire of length 2 m and Young's modulus $2.0\times10^{11}\ \mathrm{N\,m^{-2}}$ is stretched by a force. If Poisson ratio and…MediumNumerical value
2 Apr 2025, Shift 2 · Q48The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m.…EasyNumerical value
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 · Q31A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine…MediumSingle 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
6 Apr 2024, Shift 2 · Q60A wire of cross sectional area $A$ , modulus of elasticity $2\times10^{11}\ \mathrm{Nm^{-2}}$ and length 2 m is stretched between two…HardNumerical valueHas a figure
8 Apr 2024, Shift 1 · Q48Young's modulus is determined by the equation given by $Y=49000\frac{m}{l}\frac{\mathrm{dyne}}{\mathrm{cm}^2}$ where $M$ is the mass and…MediumSingle correct
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
31 Jan 2024, Shift 1 · Q53The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02% is ________ $m$ . (Take density of…EasyNumerical value
31 Jan 2024, Shift 2 · Q53Two 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…MediumNumerical valueHas a figure
6 Apr 2023, Shift 1 · Q58A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is…EasyNumerical value
11 Apr 2023, Shift 1 · Q57The length of a wire becomes $l_1$ and $l_2$ when 100 N and 120 N tensions are applied respectively. If $10\,l_2 = 11\,l_1$ , the natural…MediumNumerical 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
29 Jun 2022, Shift 1 · Q36A wire of length L is hanging from a fixed support. The length changes to $L_1$ and $L_2$ when masses 1 kg and 2 kg are suspended…MediumSingle 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
25 Jul 2021, Shift 1 · Q18Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are $Y_1$ and…MediumSingle correct
16 Mar 2021, Shift 2 · Q17In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and length 1m…MediumSingle correct
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
9 Jan 2020, Shift 2 · Q8Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume…MediumSingle correct
2 Apr 2017 (offline) · Q1A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in…MediumSingle correct