The Young's modulus of a wire is $Y.$ If the energy per unit volume is $E$, then the strain will be
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(a) Energy per unit volume $ = \frac{1}{2} \times {\rm{Y}} \times {({\rm{strain)}}^{\rm{2}}}$
$\therefore {\rm{strain}} = \sqrt {\frac{{{\rm{2}}E}}{Y}} $
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