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_1m_2G)/((r_1+r_2)^2)`
B. `(m_1G)/((r_1+r_2)^2)`
C. `(m_2G)/((r_1+r_2)^2)`
D. `((m_1+m_2))/((r_1+r_2)^2)`

Answer

C

Explanation

Force of attraction between two stars
`F=(Gm_1m_2)/((r_1+r_2)^2)`
Acceleration`=F/(m_1)=(Gm_2)/((r_1+r_2)^2)`