A wire of length L, area of cross section A is hanging from a fixed support. length of wire changes

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8.Mechanical Properties of Solids

easy

A wire of length $L,$ area of cross section $A$ is hanging from a fixed support. The length of the wire changes to $L_{1}$ when mass $M$ is suspended from its free end. The expression for Young's modulus is

A

$\frac{ MgL }{ A \left( L _{1}- L \right)}$

B

$\frac{ MgL _{1}}{ AL }$

C

$\frac{ Mg \left( L _{1}- L \right)}{ AL }$

D

$\frac{ MgL }{ AL _{1}}$

(NEET-2020)

Solution

$Y=\frac{F L }{A \Delta L}=\frac{M g L}{A\left(L_{1}-L\right)}$

Standard 11

Physics

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