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MHT CET 2024 (16 May, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2024 (16 May, Shift 1)

Q79MHT CET 2024 · 16 MAY · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Two loops P and Q of radii $R_1$ and $R_2$ are made from uniform metal wire of same material. $I_p$ and $I_Q$ be the moment of inertia of loop P and Q respectively then ratio $R_1/R_2$ is $($ Given $I_P/I_Q = 27)$

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Answer: (b)

Same wire: $M \propto R$ , so $I \propto R^3$ .
$\left(\frac{R_1}{R_2}\right)^3 = 27 \Rightarrow \frac{R_1}{R_2} = 3$
So the answer is (b) $3 : 1$ .

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