Moment of inertia of a uniform rod of length `L` and mass `M`, about an axis passing through `L//4` from one end and perpendicular to its length is

Options

A. `(ML^(2))/3`
B. `(ML^(2))/6`
C. `(ML^(2))/9`
D. `(ML^(2))/12`

Answer

C

Explanation

Using theorem of parallel axes
`I=(ML^(2))/12+M(L/6)^(2)`
`I=(ML^(2))/12+(ML^(2))/36=(ML^(2))/9`