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A pair of stars rotates about their cent...

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