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