JEE PYQ: Rotational Motion Question 44
Question 44 - 2019 (08 Apr Shift 1)
A thin circular plate of mass $M$ and radius $R$ has its density varying as $\rho(r) = \rho_0,r$ with $\rho_0$ 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 $I = aMR^2$. The value of the coefficient $a$ is:
(1) $\frac{1}{2}$
(2) $\frac{3}{5}$
(3) $\frac{8}{5}$
(4) $\frac{3}{2}$