Young's modulus of a wire is Y. If energy per unit volume is E , then strain will be

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8.Mechanical Properties of Solids

easy

The Young's modulus of a wire is $Y.$ If the energy per unit volume is $E$, then the strain will be

A

$\sqrt {\frac{{2E}}{Y}} $

B

$\sqrt {2EY} $

C

$EY$

D

$\frac{E}{Y}$

Solution

(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}} $

Standard 11

Physics

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