MHT CET 2024 Physics question
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 four times that of loop P about its axis. The value of 'n' is
Answer: (B)
Solution
The loops are made from the same uniform wire, so the mass of a loop is proportional to its length (circumference), i.e. proportional to its radius. If loop P has mass and radius , then loop Q has mass and radius . The moment of inertia of a ring about its axis is . So and $ =
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