Two stars of mass `m_(1)` and `m_(2)` are parts of a binary star system. The radii of their orbits are `r_(1)` and `r_(2)` respectivey, measured from the centre of mass of the system. The magnitude of gravitational force `m_(1)` exerts on `m_(2)` is

Options

A. `(m_(1)m_(2) G)/((r_(1) + r_(2))^(2))`
B. `(m_(1)G)/((r_(1) + r_(2))^(2))`
C. `(m_(2)G)/((r_(1) + r_(2))`
D. `((m_(1) + m_(2)))/((r_(1) + r_(2))^(2))`

Answer

A

Explanation

F =`(Gm_(1)m_(2))/(r^(2)) = (Gm_(1)m_(2))/((r_(1) + r_(2))^(2))`.