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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 :

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By Expert Faculty of Sri Chaitanya
a
πD3GM
b
2πD32GM
c
2π2D3GM
d
πGMD3
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detailed solution

Correct option is B

GM2D2=Mv2D/2⇒v=GM2D⇒T=2πD2v=π2D3GM


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