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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 centres so as to escape to infinity is

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a

2(GMn)(n+1)r

b

2GM(n+1)nr

c

GM(n+1)2nr

d

GM(n+1)nr

answer is B.

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Detailed Solution

Apply law of conservation of Energy

Question Image

−GMmr−GMnmr+12mV2=0

⇒V22=GMr1+1n⇒V=2GM(n+1)nr

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