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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA solid sphere and a solid cylinder have the same mass \( M \) and same radius \( R \). The ratio of the moment of inertia of the solid sphere (about its diameter) to that of the solid cylinder (about its geometric axis) is:
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Correct answer · Option B
\( 4 : 5 \)
Explanation
\( I_{\text{sphere}} = \frac{2}{5} M R^2 \) and \( I_{\text{cylinder}} = \frac{1}{2} M R^2 \). Ratio = \( \frac{2/5}{1/2} = \frac{4}{5} \).
