A fixed volume of iron is drawn into a wire of length L. extension x produced in this wire by a cons

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8.Mechanical Properties of Solids

medium

A fixed volume of iron is drawn into a wire of length $L.$ The extension $x$ produced in this wire by a constant force $F$ is proportional to

A

$\frac{1}{{{L^2}}}$

B

$\frac{1}{L}$

C

${L^2}$

D

$L$

Solution

(c) $l = \frac{{FL}}{{AY}} = \frac{{F{L^2}}}{{(AL)Y}} = \frac{{F{L^2}}}{{VY}}$.

If volume is fixed then $l \propto {L^2}$

Standard 11

Physics

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