Three identical a bodies of mass M are located at the vertices of an equilateral triangle of side L , they revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is

Q: Three identical a bodies of mass M are located at the vertices of an equilateral triangle of side L , they revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is

(a) $\sqrt{\frac{G M}{L}}$

(b) $\sqrt{\frac{3 G M}{2 L}}$

(c) $\sqrt{\frac{3 G M}{L}}$

(d) $\sqrt{2 \frac{G M}{3 L}}$

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Ans: (a)