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

Options

A. `(1)/(2)Mr^(2)`
B. `Mr^(2)`
C. `(2)/(5)Mr^(2)`
D. `(1)/(4)Mr^(2)`

Answer

A

Explanation

Suppose assume that moment of inertia of whole circular disc is 2I and its mass 2M, then
`2I=(2Mr^(2))/(2)`
`therefore I=(Mr^(2))/(2)`