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 $Y$

JEE Main 2026 · PhysicsMultiple choiceSingle correctEasyConceptual

JEE Main 5 April 2026, Shift 1, Physics Q31

Question 31 of 75 in this shift, Physics question 6 of 25, Section A.

The Young's modulus of steel wire of radius

r

and length

L

Y

. If the radius

r

and length

L

of the wire are doubled then the value of

Y

(1)increases by two times
(2)reduces by half
(3)remains unchangedOfficial answer
(4)becomes one fourth

Official answer

Option 3

NTA final key.

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

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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.