A thin rod of length L and 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 rod about one end `=(ml^(2))/(3)`
`therefore` Moment of inertia of the system
`=2xx((M)/(2))((L//2)^(2))/(3)=(ML^(2))/(12)`