If a solid sphere and solid cylinder of same mass and radius rotate about their own axis the M.I. will be greater for

Options

A. solid sphere
B. solid cylinder
C. both a and b
D. equal both

Answer

B

Explanation

Moment of inertia of a solid sphere `I_(s)=2/5 MR^(2)`
`I_(S)=0.4MR^(2)`
Moment of inertia of a solid cylinder `I_(C)=1/2MR^(2)`
`I_(C)=0.5MR^(2)`
We know that `I_(C)gtI_(S)`
`:.` Moment of inertia will be greater for solid cylinder.