JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 25 July 2022, Shift 1, Physics Q53

Question 53 of 90 in this shift, Physics question 23 of 30, Section B.

A 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 increases by

5

cm. Another wire of the same material of length

4L

and radius

4r

is pulled by a force

4F

under same conditions. The increase in length of this wire is ______ cm.

Official answer

NTA final key (2022 Session 2).

Chapter: Mechanical Properties of Solids
Topic: Elasticity
Idea tested: Elastic Moduli

Same idea in other shifts

Asked 13× in all

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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.