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Q.

A solid aluminium sphere of radius R has moment of inertia l about an axis through its centre. The moment of inertia about a central axis of a solid aluminium sphere of radius 2R is

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a

32I

b

4I

c

8I

d

16I

answer is D.

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Detailed Solution

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 25M R2=25(43πR3ρ)R2 ⇒I∞R5 I,I=(2RR)5=32⇒I,=32I

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