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A particle is moving with a uniform spee...

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 :

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)`

Text Solution

Verified by Experts

The correct Answer is:
D
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