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MHT CET 2022 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2022

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

Answer: (A)

Solution

For a ring, . The wire is uniform, so the mass of a loop is proportional to its circumference, i.e. to its radius: . Hence . For loops P (radius ) and Q (radius ):

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Question ID VK-093916