One solid sphere A and another hollow sphere | vedclass

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(A) The moment of inertia of a solid sphere of mass $M$ and radius $R$ about its diameter is given by $I_A = \frac{2}{5} M R^2$.The moment of inertia

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$I_{A} < I_{B}$

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(A) The moment of inertia of a solid sphere of mass $M$ and radius $R$ about its diameter is given by $I_A = \frac{2}{5} M R^2$.The moment of inertia of a hollow sphere of mass $M$ and radius $R$ about its diameter is given by $I_B = \frac{2}{3} M R^2$.Comparing the two expressions,since $M$ and $R$ are the same for both spheres,we compare the coefficients $\frac{2}{5}$ and $\frac{2}{3}$.Since $\frac{2}{5} = 0.4$ and $\frac{2}{3} \approx 0.67$,it is clear that $\frac{2}{5} Therefore,$I_A < I_B$.

One solid sphere $A$ and another hollow sphere $B$ have the same mass and the same outer radii. Their moments of inertia about their diameters are $I_{A}$ and $I_{B}$ respectively. Which of the following relations is correct?

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