A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be $m$, specific heat $S,$ initial temperature $25°C$ melting point $ 475°C$ and the latent heat $L.$ Then $v$ is given by

  • A

    $mL = mS\,(475 - 25) + \frac{1}{2} \cdot \frac{{m{v^2}}}{J}$

  • B

    $mS(475 - 25) + mL = \frac{{m{v^2}}}{{2J}}$

  • C

    $mS\,(475 - 25) + mL = \frac{{m{v^2}}}{J}$

  • D

    $mS\,(475 - 25) - mL = \frac{{m{v^2}}}{{2J}}$

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