Elasticity JEE Main PYQs PDF, 2020–2026

Elasticity questions per year

in the free PDF asked, not in the PDFThe PDF only has questions we can print in full with a checked answer, so it holds 91 of the 94 asked.

Topic-wise weightage by year

How many Elasticity questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 14 JEE Main 2026 Elasticity questions in the free PDF, latest shift first. The 2026 papers asked 15 in all.

1. JEE Main 2026 · 6 Apr · Shift 2 · Elastic Moduli

   Figure 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 $W$ 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 $\_\_\_\_$ ${\mathrm{N}}/{\mathrm{m}}^{2}$.

   
   Solve it online →

2. JEE Main 2026 · 6 Apr · Shift 1 · Elastic Moduli

   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.

   Solve it online →

3. JEE Main 2026 · 6 Apr · Shift 1 · Stress and Strain

   A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4\times {10}^{8}{\ \mathrm{N}}/{\mathrm{m}}^{2}$ and its radius is 4 mm , then maximum acceleration the lift can take is $\_\_\_\_$ ${\mathrm{m}}/{\mathrm{s}}^{2}$.

   (take ${\mathrm{g}}=10{\ \mathrm{m}}/{\mathrm{s}}^{2}$ and $\pi=3.14$ )

   Solve it online →

4. JEE Main 2026 · 5 Apr · Shift 2 · Elastic Potential Energy

   A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is $600\times {10}^{{-6}}{\ \mathrm{m}}^{3}$. The elastic potential energy stored in the wire in stretched condition would be

   $\_\_\_\_$ J.

   (Given Young modulus of copper $=1.1\times {10}^{{11}}{\ \mathrm{N}}/{\mathrm{m}}^{2}$ )

   Solve it online →

5. JEE Main 2026 · 5 Apr · Shift 1 · Stress and Strain

   Two wires as shown in the figure below, made of steel and have breaking stress of $12\times {10}^{8}{\ \mathrm{N}}/{\mathrm{m}}^{2}$. 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.

   
   Solve it online →

6. JEE Main 2026 · 5 Apr · Shift 1 · Elastic Moduli

   A cube has side length 5 cm and modulus of rigidity ${10}^{5}{\ \mathrm{N}}/{\mathrm{m}}^{2}$. The displacement produced by a force of 10 N in the upper face of cube is $\_\_\_\_$ mm.

   Solve it online →

7. JEE Main 2026 · 5 Apr · Shift 1 · Elastic Moduli

   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 $Y$

   Solve it online →

8. JEE Main 2026 · 4 Apr · Shift 1 · Elastic Moduli

   The increase in the pressure required to decrease the volume ( $\Delta V$ ) of water is $6.3\times {10}^{7}{\ \mathrm{N}}/{\mathrm{m}}^{2}$. The percentage decrease in the volume is $\_\_\_\_$ .

   (Bulk modulus of water $=2.1\times {10}^{9}{\ \mathrm{N}}/{\mathrm{m}}^{2}$.)

   Solve it online →

9. JEE Main 2026 · 4 Apr · Shift 1 · Elastic Moduli

   A string $A$ of length 0.314 m and Young's modulus $2\times {10}^{{10}}{\ \mathrm{N}}/{\mathrm{m}}^{2}$ 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 $=10{\ \mathrm{m}}/{\mathrm{s}}^{2}$ ) (Mass of both strings is to be neglected as compared to the mass of load)

   Solve it online →

10. JEE Main 2026 · 4 Apr · Shift 2 · Elastic Moduli

    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 2 M 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 $\_\_\_\_$ .

    Solve it online →

11. JEE Main 2026 · 2 Apr · Shift 1 · Stress and Strain

    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 $\frac{l}{3}$ distance from the top is $\left(\frac{W}{A}+\frac{2}{\gamma}\frac{w}{A}\right)$, where $A$ is the cross sectional area of the wire. The value of $\gamma$ is ________.

    Solve it online →

12. JEE Main 2026 · 28 Jan · Shift 1 · Elastic Moduli

    Two wires $A$ and $B$ made of different materials of lengths 6.0 cm and 5.4 cm , respectively and area of cross sections $3.0\times {10}^{{-5}}{\ \mathrm{m}}^{2}$ and $4.5\times {10}^{{-5}}{\ \mathrm{m}}^{2}$, 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 $\_\_\_\_$

    Solve it online →

Practise the 2026 Elasticity questions online

Sample questions from recent papers

The free PDF above has all 91 questions grouped by topic, with an answer key.

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