JEE Main Physics question

PhysicsGravitationJEE Main

Let be the acceleration due to gravity at earth's surface and be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then [BHU 1994, JIPMER 2000]

Answer: (C)

Solution

, so *increases* by 4%. With angular momentum conserved and :

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Question ID VK-154610