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

Moment of inertia of a uniform about one end `=(mL^(2))/3 :.` moment of inertia of the system
`=2xxm/2((L//2)^(2))/3=(mL^(2))/12`