If the gravitational force were to vary inversely as power of the distance

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

If the gravitational force were to vary inversely as

m^{\text{th}}

power of the distance, then the time period of a planet in circular orbit of radius r around the Sun will be proportional to (A)

r^{-3m/2}

(B)

r^{3m/2}

(C)

r^{m+1/2}

(D)

r^{(m+1)/2}