The M.I. of the solid sphere of density 'rho' and radius 'R' about an axis passing through its centre is given by

Options

A. `(105)/(176)R^(2)rho`
B. `(176)/(105)R^(2)rho`
C. `(176)/(105)R^(5)rho`
D. `(105)/(132)R^(2)rho`

Answer

C

Explanation

`I = (2)/(5)MR^(2)`
`= (2)/(5)rho vR^(2)=(2)/(5)xx(4pi)/(3)R^(3)R^(2)xx rho`
`= (8)/(15)xx(22)/(7)rho R^(5)`
`I = (176)/(105)rho R^(5)`.