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MHT CET 2023 (11 May, Shift 2) · Rotational Kinetic Energy, Work & Power

Rotational Kinetic Energy, Work & Power question from MHT CET 2023 (11 May, Shift 2)

Q28MHT CET 2023 · 11 MAY · SHIFT 2Easy

Rotational Kinetic Energy, Work & Power

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

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Answer: (d)

$K = \frac{L^2}{2I} \Rightarrow L = \sqrt{2IK}$
Equal $K$ : $L \propto \sqrt{I}$
$\frac{L_1}{L_2} = \sqrt{\frac{I}{2I}} = \frac{1}{\sqrt{2}}$
So the answer is (d) $1 : \sqrt{2}$ .

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