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Q.

What is the moment of inertia of solid sphere of density ρ and radius R about its diameter? [UP CPMT 2012]

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a

105176R5ρ

b

105176R2ρ

c

176105R5ρ

d

186105R2ρ

answer is C.

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Detailed Solution

I=25MR2=2543πR3ρR2=815πR5ρI=176105R5ρ    ∵π=227
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