Q. Three identical 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) $\sqrt{\frac{GM}{L}}$
B) $\sqrt{\frac{3GM}{2L}}$
C) $\sqrt{\frac{3GM}{L}}$
D) $\sqrt{\frac{2GM}{3L}}$
Explanation
(a) $\frac{GMM}{L^{2}} = \frac{MV^{2}}{L}$
$\Rightarrow V = \sqrt{\frac{GM}{L}}$
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Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.