Two stars of masses $m_1$ and $m_2$ are parts of a binary star system. The radii of their orbits are $r_1$ and $r_2$ respectively, measured from the centre of mass of the system. The magnitude of gravitational force $m_1$ exerts on $m_2$ is
Two stars of masses $m_1$ and $m_2$ are parts of a binary star system. The radii of their orbits are $r_1$ and $r_2$ respectively, measured from the centre of mass of the system. The magnitude of gravitational force $m_1$ exerts on $m_2$ is
- A
$\frac{{{m_1}{m_2}G}}{{{{\left( {{r_1} + {r_2}} \right)}^2}}}$
- B
$\frac{{{m_1}G}}{{{{\left( {{r_1} + {r_2}} \right)}^2}}}$
- C
$\frac{{{m_2}G}}{{{{\left( {{r_1} + {r_2}} \right)}^2}}}$
- D
$\frac{{G({m_1} + {m_2})}}{{{{\left( {{r_1} + {r_2}} \right)}^2}}}$
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