$A$ pellet of mass $m$ and specific heat capacity $c$ fired from an air gun hits a steel plate with speed $v$. During the impact,$50\%$ of the pellet's kinetic energy is converted to thermal energy in it. The rise in the temperature of the pellet is

  • A
    $\frac{v^2}{2 c}$
  • B
    $\frac{v^2}{4 c}$
  • C
    $\frac{m v^2}{2 c}$
  • D
    $\frac{m v^2}{4 c}$

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