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MHT CET 2021 (23 Sep, Shift 2) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2021 (23 Sep, Shift 2)

Q133MHT CET 2021 · 23 SEP · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R $1$ and R $2$ respectively. The moments of inertia about their own axis are $I_P$ and $I_Q$ respectively. If $\frac{I_P}{I_Q} = \frac{1}{8}$ then $\frac{R_2}{R_1}$ is

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Answer: (c)

Same wire: $M \propto R$ , so $I \propto R^3$ .
$\left(\frac{R_1}{R_2}\right)^3 = \frac{1}{8} \Rightarrow \frac{R_2}{R_1} = 2$
So the answer is (c) 2.

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