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A pair of stars rotates about a common c...

A pair of stars rotates about a common centre of mass. One of the stars has a mass M and the other has mass m such that =2m. The distance between the centres of the stars is d ( d being large compare to the size of eithe star).
The period of rotation of the stars about their common centre of mass ( in terms of d,m,G) is

A

`sqrt((4pi^(2))/(GM)d^(3))`

B

`sqrt((8pi^(2))/(GM)d^(3))`

C

`sqrt((2pi^(2))/(3GM)d^(3))`

D

`sqrt((4pi^(2))/(3GM)d^(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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