A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the `n^(th)` power of R. If the period of rotation of the particle is T, then :

Options

A. `T prop R^(n//2)`
B. `T prop R^(3//2)` for any n
C. `T prop R^(n//2+1)`
D. `T prop R^((n+1)//2)`

Answer

D