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

  • A

    $\sqrt {\frac{{Gm}}{R}} $

  • B

    $\sqrt {\frac{{Gm}}{{4R}}} $

  • C

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

  • D

    $\sqrt {\frac{{Gm}}{{2R}}} $

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