A wire of length $L$ and cross-sectional area $A$ is made of a material of Young's modulus $Y.$ It is stretched by an amount $x$. The work done is

  • A

    $\frac{{YxA}}{{2L}}$

  • B

    $\frac{{Y{x^2}A}}{L}$

  • C

    $\frac{{Y{x^2}A}}{{2L}}$

  • D

    $\frac{{2Y{x^2}A}}{L}$

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