MHT CET 2024 Physics question
A solid metallic sphere of radius 'R' having moment of inertia 'I' about its diameter is melted and recast into a solid disc of radius 'r' of a uniform thickness. The moment of inertia of a disc about an axis passing through its edge and perpendicular to its plane is also equal to 'I'. The ratio is
Answer: (4)
Solution
Mass is conserved on melting, so both bodies have the same mass . Sphere about a diameter: . Disc about an axis through its edge, perpendicular to its plane (parallel-axis theorem): . Equating: $32 = 25 ⇒ =
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