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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 :
$$\frac{n^2 P^2}{2}$$
$$\frac{P^2[1 + n^2]}{2m}$$
$$\frac{n^2 P^2}{2m}$$
$$n^2 P^2 \times 2m$$
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