The masses of the earth and moon are M and M/n respectively. Their centres are separated by a distance 2r. The minimum speed with which a particle of mass m should be projected from a point midway the two canters so as to escape to infinity

Q: The masses of the earth and moon are M and M/n respectively. Their centres are separated by a distance 2r. The minimum speed with which a particle of mass m should be projected from a point midway the two canters so as to escape to infinity

(a) $[\frac{GM(n + 1)}{n r}]^{1/2}$

(b) $[\frac{2 GM(n + 1)}{n r}]^{1/2}$

(c) $[\frac{GM(n + 1)}{2 n r}]^{1/2}$

(d) $[\frac{2 G M n }{(n + 1) r}]^{1/2}$

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Ans: (b)