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Three indentical bodes of mass M are l...

Three indentical bodes of mass M are locatd at the verticles of an equailateral triangle of side L they revolve undr the effect of mutual gravitational force in a circular orbit circumscibing the traingle while preserving the equilateral triangle their orbital velocity is

A

`sqrt((GM)/L)`

B

`sqrt((3GM)/(2L))`

C

`sqrt((3GM)/L)`

D

`sqrt((3GM)/(2L))`

Text Solution

Verified by Experts

The correct Answer is:
A

`(GMM)/(L^2)=(Mv_0^2)/LrArrv_0^2=sqrt((GM)/L)`
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