Speed of particles moving in a circle under their mutual gravitational attraction

1. A.
   $\sqrt{\frac{Gm}{4r}}$
2. B.
   $\sqrt{\frac{Gm}{r}}$
3. C.
   $\sqrt{\frac{Gm}{2r}}$
4. D.
   $\sqrt{\frac{4Gm}{r}}$

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1. A.
   $\sqrt{\dfrac{GM}{R}}$
2. B.
   $\sqrt{2\sqrt{2}\dfrac{GM}{R}}$
3. C.
   $v = \sqrt{\dfrac{GM}{R}(1 + 2\sqrt{2})}$
4. D.
   $v = \dfrac{1}{2}\sqrt{\dfrac{GM}{R}(1 + 2\sqrt{2})}$

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