A thin circular plate of mass M and radius R has its density varying as ρ(r) = ρ0r with ρ0 as constant and r is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is I = aMR2 . The value of the coefficient a is -
(1) 3/2
(2) 1/2
(3) 8/5
(4) 3/5
