The angular momentum of a rigid body of mass m about an axis is $n$ times the linear momentum $(P)$ of the body. Total kinetic energy of the rigid body is

  • [NEET 2017]
  • A

    $\frac{ P ^2\left[1+ n ^2\right]}{2 m }$

  • B

    $\frac{ n ^2 P ^2}{2 m }$

  • C

    $n ^2 P ^2 \times 2 m$

  • D

    $\frac{ P ^2}{2}\left(\frac{ n ^2}{ I }+\frac{1}{ m }\right)$

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