MHT CET 2025 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2025

Two circular loops P and Q of radii 'r' and 'nr' are made respectively from a uniform wire. Moment of inertia of loop Q about its axis is 4 times that of loop P about its axis. The value of n is

Answer: (B)

Solution

For a loop made of uniform wire, mass is proportional to its length , so . The moment of inertia about the axis through the centre perpendicular to the plane is . Hence , giving

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Question ID VK-101864