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. 5I
B. 3I
C. 6I
D. 4I

Answer

C

Explanation

M.I. of uniform circular disc about diameter = I, According to the theorem of perpendicular axes.
M.I. of disc about its axis = `2I(=(1)/(2)mr^(2))`
Applying theorem of || axes
M.I. of disc about the given axis = `2I+mr^(2)=2I+4I=6I`