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Moment of inertia of a solid sphere of d...

Moment of inertia of a solid sphere of density `rho` and radius R is given by :

A

`(105)/(176)rhoR^(2)`

B

`(176)/(105)rhoR^(2)`

C

`(176)/(105)rhoR^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
For solid sphere, `I=(2)/(5)MR^(2)`
Since M = volume `xx` density `=(4)/(3)piR^(3)xxrho`
`therefore I=(2)/(5).(4)/(3)piR^(3).rho.R^(2)`
`=(8)/(15)piR^(5)rho=(8)/(15)xx(22)/(7)R^(5)P=(176)/(105)rhoR^(5)`
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