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Two stars of mass m1 and m2 are parts of...

Two stars of mass `m_1` and `m_2` are parts of a binary system. The radii of their orbits are `r_1` and `r_2` respectively, measured from the C.M. of the system. The magnitude of gravitational force `m_1` exerts on `m_2` is

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)`

Text Solution

Verified by Experts

The correct Answer is:
A
Both the stars rotate with same angular velocity `omega` around the centre of mass (CM) in their respective orbits as shown in figure.
The magnitude of gravitational force `m_1` exerts on `m_2` is `abs(F)==(Gm_1m_2)/((r_1+r_2)^2)`
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