question_answer

A body of mass \[m\] is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \[\frac{R}{2}\], and the other mass, in a circular orbit of radius \[\frac{3R}{2}\]. The difference between the final initial total energies is:        [JEE Online 15-04-2018]

A)  \[-\frac{GMm}{2R}\]    

B)       \[+\frac{GMm}{6R}\]

C)  \[-\frac{GMm}{6R}\]    

D)       \[\frac{GMm}{2R}\] Correct Answer: C Solution : [c] Initial energy=

Final energy