question_answer

The moment of inertia of a uniform semicircular wire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is

A) \[M{{r}^{2}}\]                        

B) \[\frac{1}{2}M{{r}^{2}}\]      

C) \[\frac{1}{4}M{{r}^{2}}\]                               

D) \[\left( \frac{2}{5} \right)M{{r}^{2}}\]