If two bodies of mass M and m are revolving around the centre of mass of the system in circular orbits of radii r and r respectively due to mutual interaction. Which of the following formulee is applicable ?

Options

A. `(GMm)/((R + r)^(2)) = momega^(2)r`
B. `(GMm)/(R^(2)) = momega^(2)r`
C. `(GMm)/(r^(2)) = momega^(2)R`
D. `(GMm)/(R^(2)+r^(2))=momega^(2)r`

Answer

A

Explanation

For a particle gravitational force = centripetal force