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

Options

A. `sqrt((GM)/L)`
B. `sqrt((3GM)/(2L))`
C. `sqrt((3GM)/L)`
D. `sqrt((3GM)/(2L))`

Answer

A

Explanation

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