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MHT CET 2025 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2025

Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is

Answer: (D)

Solution

Let the big sphere have mass and radius : . Volume conservation for 27 equal spheres: , so , and each small sphere has mass . Then $I' =

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Question ID VK-103104