Q.

The moment of inertia of a solid sphere of density ρ and radius R about its diameter is

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a

105176R5ρ

b

176105R5ρ

c

105176R2ρ

d

176105R2ρ

answer is C.

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Detailed Solution

Moment of inertia of sphere about it diameter I=25MR2=25(43πR3ρ)R2              

I =8π15R5ρ=8×2215×7R5ρ=176105R5ρ

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