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Two stars of masses m(1)andm(2) are part...

Two stars of masses `m_(1)andm_(2)` are parts of a binary solar system. The radii of their orbits are `r_(1)andr_(2)` respectively. The magnitude of the gravitational force `m_(1)` exerts on `m_(2)` is:

A

`(m_(1)m_(2)G)/((r_(1)+r_(2))^(2))`

B

`((m_(1)+m_(2)))/((r_(1)+r_(2))^(2))`

C

`(m_(1)G)/((r_(1)+r_(2))^(2))`

D

`(m_(2)G)/((r_(1)+r_(2))^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A

Separation between given stars of mass `m_(1)andm_(2)=r_(1)+r_(2)`
`thereforeF_(1)=G(m_(1)m_(2))/((r_(1)+r_(2))^(2))`
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Knowledge Check

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