Moment of inertia of a uniform circular disc about a diameter is `I`. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be.

Options

A. `6 I`
B. 4 I
C. 2 I
D. 8 I

Answer

A

Explanation

Moment of inertia of a disc about a diameter is `(1)/(4) MR^(2) = I " " `(given)
`therefore MR^(2) = 4I`
Now , required moment of inertia = `(3)/(2) MR^(2)`
`= (3)/(2) (4I) = 6 I`