The ratio of moment of inertia of a solid sphere to that of a hollow sphere of same mass and radius is (a) 5/3 (b) 4/5 (c) 3/5 (d) 2/5
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Step 1
The moment of inertia of a solid sphere is given by: I = (2/5)mr^2 where m is the mass of the sphere and r is the radius. The moment of inertia of a hollow sphere is given by: I = (2/3)mr^2 Now, let's find the ratio of the moment of inertia of the Show more…
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The moment of inertia of two spheres of equal masses about their diameters are equal. If one of them is solid and other is hollow, the ratio of their radii is (a) $\sqrt{3}: \sqrt{5}$ (b) $3: 5$ (c) $\sqrt{5}: \sqrt{3}$ (d) $5: 3$
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Round 2
The moment of inertia of a sphere of mass $M$ and radius $R$ about an axis passing through its centre is $\frac{2}{5} M R^{2}$. The radius of gyration of the sphere about a parallel axis to the above and tangent to the sphere is (a) $\frac{7}{5} R$ (b) $\frac{3}{5} R$ (c) $\left(\sqrt{\frac{7}{5}}\right) R$ (d) $\left(\sqrt{\frac{3}{5}}\right) R$
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