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A wire of length L, area of cross-section A is hanging from a fixed support. The length of the wire changesto L) when mass M is suspended from its free end. The expression for Young's modulus is [NEET 2020]

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a

Mg⁡I1−LAI

b

MgLAL1

c

MgLAL1−L

d

MgL1AL

answer is C.

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Detailed Solution

Here, change in length, ΔL=L1−LArea =AForce, F = MgYoung's modulus,Y= Normal stress Longitudinal strain ⇒ Y=(F/A)ΔLL=MgAL1−LL=MgLAL1−L

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A wire of length L, area of cross-section A is hanging from a fixed support. The length of the wire changesto L) when mass M is suspended from its free end. The expression for Young's modulus is [NEET 2020]