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The moment of inertia of a solid sphere ...

The moment of inertia of a solid sphere with a density `rho` and radius R about its diameter is

A

`(105)/(176)R^(5)rho`

B

`(105)/(176)R^(2)rho`

C

`(176)/(105)R^(5)rho`

D

`(176)/(105)R^(2)rho`

Text Solution

Verified by Experts

The correct Answer is:
C
For solid sphere `I=(2)/(5)MR^(2)`
`=(2)/(5)((4)/(3)piR^(3)rho)R^(2)`
`=(8)/(15)piR^(5)rho`
`=(8)/(15)xx(22)/(7)R^(5)rho`
`therefore I=(176)/(105)R^(5)rho`
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