Test Academy | The masses and radii of the earth and moon are M₁ , R₁ and M₂ , R₂ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escape to infinity is 2√(G(M₁+M₂)/d), 2√(2G(M₁+M₂)/d), 2√(Gm(M₁+M₂)/d), 2√(Gm(M₁+M₂)/d(R₁+R₂))

Question

The masses and radii of the earth and moon are M₁ , R₁ and M₂ , R₂ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escape to infinity is

Options :

2√(G(M₁+M₂)/d)
2√(2G(M₁+M₂)/d)
2√(Gm(M₁+M₂)/d)
2√(Gm(M₁+M₂)/d(R₁+R₂))

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