The masses and radii of the earth and the moon are $M_1, R_1$ and $M_2, R_2$ respectively. Their centres are at a distance $d$ apart. The minimum speed with which a particle of mass $m$ should be projected from a point midway between the two centres so as to escape to infinity is:

  • A
    $v = \sqrt{\frac{4G(M_1 + M_2)}{d}}$
  • B
    $v = \sqrt{\frac{4G(M_1 + M_2)}{d}}$
  • C
    $v = \sqrt{4G(M_1 M_2)}$
  • D
    $v = \sqrt{4Gd(M_1 + M_2)}$

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