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MHT CET 2024 (10 May, Shift 2) · Rotational Kinetic Energy, Work & Power

Rotational Kinetic Energy, Work & Power question from MHT CET 2024 (10 May, Shift 2)

Q21MHT CET 2024 · 10 MAY · SHIFT 2Medium

Rotational Kinetic Energy, Work & Power

Two bodies A and B have their moments of inertia $I_1$ and $I_2$ respectively about their axis of rotation. If their kinetic energies of rotation are equal and their angular momenta $L_1$ and $L_2$ respectively are in the ratio $1 : \sqrt{3}$ , then $I_2$ will be

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Answer: (d)

Equal $K$ : $L = \sqrt{2IK} \Rightarrow \frac{L_1}{L_2} = \sqrt{\frac{I_1}{I_2}}$
$\frac{1}{\sqrt{3}} = \sqrt{\frac{I_1}{I_2}} \Rightarrow \frac{I_1}{I_2} = \frac{1}{3}$
So the answer is (d) $3I_1$ .

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