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Question

Question: Two spherical stars each of mass M with their centres distant D apart revolve under mutual gravitati...

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 –

A

p

B

2pD32GM\sqrt { \frac { \mathrm { D } ^ { 3 } } { 2 \mathrm { GM } } }

C

2p

D

p

Answer

2pD32GM\sqrt { \frac { \mathrm { D } ^ { 3 } } { 2 \mathrm { GM } } }

Explanation

Solution

If the velocity is v0 so

= Ž v0 =

so T =D32GM\sqrt { \frac { \mathrm { D } ^ { 3 } } { 2 \mathrm { GM } } }