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 :

A

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

B

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

C

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

D

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