If `d` is the distance between the centre of the earth of mass `M_(1)` and the moon of mass `M_(2)`, then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escape isA. `sqrt(G(M_(1)+M_(2)))/(d)`B. `sqrt((G(M_(1)+M_(2)))/(2d))`C. `sqrt((2G(M_(1)+M_(2)))/(d))`D. `sqrt((4G(M_(1)+M_(2)))/d)`

If `d` is the distance between the centre of the earth of mass `M_(1)`

1.	If `d` is the distance between the centre of the earth of mass `M_(1)` and the moon of mass `M_(2)`, then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escape isA. `sqrt(G(M_(1)+M_(2)))/(d)`B. `sqrt((G(M_(1)+M_(2)))/(2d))`C. `sqrt((2G(M_(1)+M_(2)))/(d))`D. `sqrt((4G(M_(1)+M_(2)))/d)`
Answer» Correct Answer - D Using law of conservation of energy, `1/2mv_(e)^(2)=(2Gm)/d(M_(1)+M_(2))`

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