A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T. then

Question:

Options :

(a) T∝R^(n+1/2)
(b) T∝R^(n/2)
(c) T∝R^(3/2) for any n
(d) T∝R^(n/2+1)

Answer :

(a) T∝R^(n+1/2)

Answer Steps :

step 1

step 2

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