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MHT CET 2020 (19 Oct, Shift 2) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2020 (19 Oct, Shift 2)

Q148MHT CET 2020 · 19 OCT · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

Two circular loop $A$ and $B$ of radii $R$ and $NR$ respectively are made from a uniform wire. Moment of inertia of $B$ about its axis is 3 times that of $A$ about its axis. The value of $N$ is

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Answer: (c)

Same wire: $M \propto R$ , so $I = MR^2 \propto R^3$ .
$N^3 = 3 \Rightarrow N = 3^{1/3}$
So the answer is (c) $[3]^{1/3}$ .

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