Two particles of equal mass go round a circle of radius \( R \) under the action of their mutual...

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Two particles of equal mass go round a circle of radius \( R \) under the action of their mutual gravitational attraction. The speed of each particle is
(a) \( v=\frac{1}{2 R} \sqrt{\frac{1}{G m}} \)
(b) \( v=\sqrt{\frac{G m}{2 R}} \)
(c) \( v=\frac{1}{2} \sqrt{\frac{G m}{R}} \)
(d) \( v=\sqrt{\frac{4 G m}{R}} \)
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