A thin rod of length `L` of mass `M` is bent at the middle point `O` at an angle of `60^@`. The moment of inertia of the rod about an axis passing through `O` and perpendicular to the plane of the rod will be

Options

A. `ML^(2)/6`
B. `ML^(2)/12`
C. `ML^(2)/24`
D. `ML^(2)/3`

Answer

B

Explanation

`I=I_(1)+I_(2)`
`=(M)/(2)xx(l^(2))/(4)xx(1)/(3)+(1)/(3)(m)/(2)(l^(2))/(4)`