Energy required to move a body of mass m from an orbit of radius 2R to 3R is : |
GMm/12R2 GMm/6R2 GMm/8R2 GMm/24R2 |
GMm/6R2 |
Work done = Change in potential energy = \(U_2 - U_1\) =\( [\frac{-GMm}{r_2}] - [-\frac{GMm}{r_1}] \) =\(-\frac{GMm}{3R} + \frac{GMm}{2R}\) =\(\frac{GMm}{6R}\) |