Two particles of equal mass

Question:

Two particles of equal mass ' $m$ ' go around a circle of radius $\mathrm{R}$ under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is:-

  1. $\sqrt{\frac{\mathrm{Gm}}{\mathrm{R}}}$

  2. $\sqrt{\frac{G m}{4 R}}$

  3. $\sqrt{\frac{\mathrm{Gm}}{3 \mathrm{R}}}$

  4. $\sqrt{\frac{\mathrm{Gm}}{2 \mathrm{R}}}$

Correct Option: , 3

Solution:

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