Question

One solid sphere A and another hollow sphere B
are of the same mass and same outer radii Their
moment of inertia about their diameters are
respectively 'A and B such that (AIEEE 2004)
I _dA
(a) I, <1 (b)
І. d
(c) I. = 13 (d) I, >1
whered and dR are their densities
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Answer 1

Answer:

IB​=32​MR2 IA​=52​MR2

∴IA​<IB​

IB​IA​​=32​×(4πR2tρB​R2)52​×(34​πR3ρA​R2)​ where t is the thickness of the hollow sphere.

IB​IA​​​=ρB​ρA​​ Apart from constant factors, radius and thickness are there in the expression.

Explanation:

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