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JEE Main 2004 (AIEEE) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from JEE Main 2004 (AIEEE)

Q194JEE Main 2004 · AIEEEEasy

Moment of Inertia & Radius of Gyration

One solid sphere $A$ and another hollow sphere $B$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_A$ and $I_B$ such that

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Answer: (a)

Solid sphere: $I_A = \frac{2}{5}MR^2$ ; hollow sphere: $I_B = \frac{2}{3}MR^2$ .
In the hollow sphere all mass is at the surface, farther from the axis.
So the answer is (a) $I_A < I_B$ .

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