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JEE Main Physics question

PhysicsGravitationJEE Main

The masses and radii of the earth and moon are and respectively. Their centres are at a distance apart. The minimum velocity with which a particle of mass should be projected from a point midway between their centres so that it escapes to infinity is [MP PET 1997]

Answer: (A)

Solution

At the midpoint, distance to each centre is . For the particle to just escape:

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Question ID VK-154658