A neutron travelling with a velocity $v$ and $K.E.$ $E $ collides perfectly elastically head on with the nucleus of an atom of mass number $A$ at rest. The fraction of total energy retained by neutron is

  • A

    ${\left( {\frac{{A - 1}}{{A + 1}}} \right)^2}$

  • B

    ${\left( {\frac{{A + 1}}{{A - 1}}} \right)^2}$

  • C

    ${\left( {\frac{{A - 1}}{A}} \right)^2}$

  • D

    ${\left( {\frac{{A + 1}}{A}} \right)^2}$

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