1.

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

Answer»

`(105)/(176)R^(5)rho`
`(105)/(176)R^(2)rho`
`(176)/(105)R^(5)rho`
`(176)/(105)R^(2)rho`

Solution :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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