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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

4I

b

8I

c

16I

d

32I

answer is D.

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Detailed Solution

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