MHT CET 2024 Physics question
A circular disc of radius 'R' and thickness has moment of inertia 'I' about and axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere then moment of inertia of sphere about an axis passing through diameter is
Answer: (C)
Solution
Mass is conserved on recasting, so volume is conserved. Disc: , volume . For the standard version of this problem the thickness is , so the volume is . Equate it to the sphere volume: , so $ =
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