JEE Main 2023 — Rotational Motion Question with Solution

$${\mathrm{I}}_{\mathrm{CM}}$$ is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. $${\mathrm{I}}_{\mathrm{AB}}$$ is it's moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance $$\frac{2}{3}$$R from center. Where R is the radius of the disc. The ratio of $${\mathrm{I}}_{\mathrm{AB}}$$ and $${\mathrm{I}}_{\mathrm{CM}}$$ is $$x:9$$. The value of $$x$$ is _____________.