JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Elasticity & SHM

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If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modules of the material of the wire will :

(A)Remains same✓ Correct
(B)Become 8 times its initial value
(C)Become $\frac{1 ^{th}}{4}$ of its initial value
(D)Become 4 times its initial value

Answer: (A)

Solution

Young's modulus is a material property that depends only on the nature of the material, not on its dimensions (length, radius, or cross-sectional area). Therefore, changing the length or radius of the wire does not affect Young's modulus. It remains the same.

JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Single correct option

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