Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

Energy required to move a body of mass m from an orbit of radius 2R to 3R is : 

Options:

GMm/12R2

GMm/6R2

GMm/8R2

GMm/24R2

Correct Answer:

GMm/6R2

Explanation:

Work done = Change in potential energy

   = \(U_2 - U_1\)

   =\( [\frac{-GMm}{r_2}] - [-\frac{GMm}{r_1}] \)

   =\(-\frac{GMm}{3R} + \frac{GMm}{2R}\)

   =\(\frac{GMm}{6R}\)