Three identical bodies of mass math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistry...

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Three identical bodies of mass math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymi mathvariant=normalM/mi/math 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) \( \sqrt{\frac{2 G M}{3 L}} \)
(e) \( \sqrt{\frac{G M}{3 L}} \)
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