MHT CET Physics question

PhysicsGravitationMHT CET

The mass and radius of earth is and respectively and that of moon is and respectively. The distance between the centre of earth and that of moon is 'D'. The minimum speed required for a body (mass 'm') to project from a point midway between their centers to escape to infinity is (G = Universal constant of gravitation) [MHT-CET 2020]

Answer: (D)

Solution

At the midpoint (distance D/2 from each) the potential is , so

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Question ID VK-060394