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

    $\frac{E}{Y}$

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  • [JEE MAIN 2023]