A planet of small mass moves around the Sun of mass

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

Problem

A planet of small mass

m

moves around the Sun of mass

M

, along an elliptical orbit such that its minimum and maximum distance from the Sun are

r

and

R

, respectively. Its period of revolution will be: (A)

2\pi \sqrt{\frac{(r+R)^2}{6GM}}

(B)

2\pi \sqrt{\frac{(r+R)^3}{3GM}}

(C)

\pi \sqrt{\frac{(r+R)^3}{2GM}}

(D)

2\pi \sqrt{\frac{(r+R)^3}{GM}}