MHT CET 2025 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2025

Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is 'I'. If the same rod is bent in the form of ring, its moment of inertia about the diameter is 'I', If , then the value of 'x' is

Answer: (B)

Solution

Let the rod have mass and length . Rod about the perpendicular axis through its centre: . Bent into a ring, the circumference is , so . Moment of inertia of a ring about a diameter: $ = = m =

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Question ID VK-101731