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Q.

Two spherical stars each of mass M with their centres distant D apart revolve under mutual gravitational attraction about the point midway between their centres. The period of revolution will be :

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a

πD3GM

b

2πD32GM

c

2π2D3GM

d

πGMD3

answer is B.

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Detailed Solution

GM2D2=Mv2D/2⇒v=GM2D⇒T=2πD2v=π2D3GM
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Two spherical stars each of mass M with their centres distant D apart revolve under mutual gravitational attraction about the point midway between their centres. The period of revolution will be :