The diagram showm a uniform of mass M & radius 'a' . If the moment of inertia of the disc about the axis XY is I , its moment of inrtia about an axis through O and perpendicular to the plane of the disc is

Options

A. `4/3 Ma^(2)`
B. `I + 1/4 Ma^(2)`
C. `2I`
D. `I/2`

Answer

C

Explanation

`I_(xy)=(Ma^(2))/2 + (Ma^(2))/2 = Ma^(2) =2I`
` :. I_(0) = (Ma^(2))/2 +(Ma^(2))/2 = Ma^(2) = 2I`