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Questions  

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

a
105176R5ρ
b
105176R2ρ
c
176105R5ρ
d
186105R2ρ

detailed solution

Correct option is C

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

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