A rod AB of mass m and length l is rotating about a vertical axis as shown. It's moment of inertia about this axis is :

Options

A. `(ml^(2))/3`
B. `(ml^(2))/4`
C. `(ml^(2))/16`
D. `(ml^(2))/12`

Answer

D

Explanation

`I=m/3(l sin 30^(@))^(2)=(ml^(2))/12`