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JEE Main Physics question

PhysicsGravitationJEE Main

A projectile is projected with velocity in the vertically upward direction from the ground into space ( is escape velocity and ). If resistance is considered to be negligible, the maximum height from the centre of the earth to which it can go will be ( = radius of earth)

Answer: (C)

Solution

By energy conservation (loss in KE = gain in GPE, with varying with height), . Using : $=⇒

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Question ID VK-154716