Energy required to move a body of mass m from an orbit of radius 2R to 3R is (where M = Mass of the earth R = Radius of the earth)

Options

A. `(GM m)/(12 R)`
B. `(GM m)/(3 R)`
C. `(GM m)/(8 R)`
D. `(GM m)/(6 R)`

Answer

D

Explanation

Energy spent = Increase in potential energy ` = - (G M m)/( 3 R) - (- (GM m)/( 2 R)) = (G M m)/(6 R)`