Question

The moment of inertia of a solid sphere about an axis passing through its centre is 0.8kgm² The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

Moderate

Solution

Mass is same and $D \propto \frac{1}{R^{3}}; \frac{I_{1}}{I_{2}} = {(\frac{R_{1}}{R_{2}})}^{2} = {(\frac{D_{2}}{D_{1}})}^{\frac{2}{3}}$

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