The mass and radius of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are at a distance 'd' apart. The minimum speed with which a body of mass 'm' should be projected from a distance 2d/3 from the centre of M1, so as to escape to ∞ is: - VgyanHub

Question:

The mass and radius of the earth and moon are M₁, R₁ and M₂, R₂ respectively. Their centres are at a distance ‘d’ apart. The minimum speed with which a body of mass ‘m’ should be projected from a distance 2d/3 from the centre of M₁, so as to escape to ∞ is:

Options :

(a) [6G(M1-M2)/2d]^1/2
(b) [3G(M1-M2)/2d]^1/2
(c) [3G(M1+2M2)/d]^1/2
(d) [6G(M1+M2)/d]^1/2

Answer :

(c) [3G(M₁+2M₂)/d]^1/2

Answer Steps :

step 1

step 2

step 3

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