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NEET 2013 · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from NEET 2013

Q181NEET 2013Easy

Moment of Inertia & Radius of Gyration

The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are

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Answer: (d)

Ring: $K_r = R$ (from $I = MR^2$ ).
Disc: $K_d = \frac{R}{\sqrt{2}}$ (from $I = \frac{MR^2}{2}$ ).
$K_r : K_d = \sqrt{2} : 1$
So the answer is (d) $\sqrt{2} : 1$ .

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