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 .

Options

A. `sqrt((4 pi^(2))/(Gm)d^(3))`
B. `sqrt((8pi^(2))/(Gm)d^(3))`
C. `sqrt((2pi^(2))/(3Gm)d^(3))`
D. `sqrt((4 pi^(2))/(3Gm)d^(3))`

Answer

D