Read the paragraph and answer the following questions.
Paragraph : Two stars P and Q each having mass M constitute a binary system. The stars revolves in circular orbits about their centre of mass under the effect of mutual gravitational force of attraction. The radius of orbit of star P is R. The dimensions of stars are negligible as compared to the separation between the stars.
The energy required to separate the two stars P and Q to infinite distance apart is

Options

A. `(GM^(2))/(4R)`
B. `(GM^(2))/(3R)`
C. `(GM^(2))/(2R)`
D. `(2GM^(2))/(R )`

Answer

A