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MHT CET 2026 (16 Apr, Shift 2) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2026 (16 Apr, Shift 2)

Q21MHT CET 2026 · 16 APR · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

A solid sphere of mass M and a disc of mass $\frac{M}{2}$ have the same radius. The ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be

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Answer: (b)

Disc (mass $\frac{M}{2}$ ), tangent in its plane: $\frac{5}{4}\cdot\frac{M}{2}R^2 = \frac{5}{8}MR^2$ .
Sphere, tangent: $\frac{7}{5}MR^2$ .
Ratio $= \frac{5/8}{7/5} = \frac{25}{56}$
So the answer is (b) $25 : 56$ .

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