A body of mass $m$ moving with velocity $v$ makes a head-on collision with another body of mass $2 \,m$ which is initially at rest. The loss of kinetic energy of the colliding body (mass $m$) is

  • A

    $\frac{1}{2}$ of its initial kinetic energy

  • B

    $\frac{1}{9}$ of its initial kinetic energy

  • C

    $\frac{8}{9}$ of its initial kinetic energy

  • D

    $\frac{1}{4}$of its initial kinetic energy

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