We have two spheres one of which is hollow and the other solid. They have identical masses and moment of inertia about their respective diameters. The ratio of their radii is

# We have two spheres one of which is hollow and the other solid. They have identical masses and moment of inertia about their respective diameters. The ratio of their radii is

1. A

5:7

2. B

3:5

3. C

$\sqrt{3}:\sqrt{5}$

4. D

$\sqrt{3}:\sqrt{7}$

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### Solution:

$\frac{2}{3}{\mathrm{MR}}_{\mathrm{h}}^{2}=\frac{2}{5}{\mathrm{MR}}_{\mathrm{s}}^{2}\mathrm{or}\frac{{\mathrm{R}}_{\mathrm{h}}^{2}}{{\mathrm{R}}_{\mathrm{s}}^{2}}=\frac{3}{5}\mathrm{or}\frac{{\mathrm{R}}_{\mathrm{h}}}{{\mathrm{R}}_{\mathrm{s}}}=\sqrt{\frac{3}{5}}$

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