Young's modules of material of a wire of length L and cross-sectional area A is Y . If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be:

JEE Main 202430 JanuaryMorning Shift

Exam: JEE Main
Year: 2024
Date: 30 January
Shift: Morning Shift
Subject: Physics
Chapter: Mechanical Properties of Solids

JEE Main 2024 · 30 January · Morning Shift · Physics · Mechanical Properties of Solids

Young's modules of material of a wire of length L and...

Young's modules of material of a wire of length

L

and cross-sectional area

A

Y .

If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be:

Options

A $\dfrac{Y}{4}$
B $4Y$
C $Y$
D $2Y$

Correct answer

C. $Y$

Step-by-step solution

Young’s modulus depends on the material not length and cross-sectional area. So Young’s modulus will remain same irrespective of the dimension of the wire.

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