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MHT CET 2025 (21 Apr, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2025 (21 Apr, Shift 1)

Q53MHT CET 2025 · 21 APR · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

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 4 times that of loop $P$ about its axis. The value of $n$ is

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Answer: (b)

Same wire: $M \propto R$ , so $I = MR^2 \propto R^3$ .
$n^3 = 4 \Rightarrow n = 4^{1/3} = 2^{2/3}$
So the answer is (b) $(2)^{2/3}$ .

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