MHT CET 2025 Physics question
A solid sphere and thin walled hollow sphere have same mass and same material. Which of them have greater moment of inertia about their diameter? [ =moment of inertia of hollow sphere about an axis coinciding with its diameter, = moment of inertia of solid sphere about an axis coinciding with its diameter]
Answer: (C)
Solution
For a solid sphere and for a thin-walled hollow sphere (mass concentrated at the surface). For equal radii , so . With the same mass and same material (same density) the same volume of material must be spread as a thin shell, which needs a radius
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