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JEE Main Physics question

PhysicsGravitationJEE Main

A rocket has to be launched from the Earth in such a way that it never returns. If is the minimum energy delivered by the rocket launcher, the minimum energy that the launcher should have if the same rocket is to be launched from the surface of the moon is found to be . What is the value of ? [Assume ; Volume of Earth Volume of Moon]

Answer: 16

Solution

The minimum escape energy is (from ). Since and densities are equal, , and

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Question ID VK-154822