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Physics · 2023

JEE Main · 25 January 2023, Shift 1 · Q28

I_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. I_AB is it's…

$\displaystyle \mathrm{I}_{\mathrm{CM}}$ is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. $\displaystyle \mathrm{I}_{\mathrm{AB}}$ is it's moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance $\displaystyle \frac{2}{3} \mathrm{R}$ from center. Where R is the radius of the disc. The ratio of $\displaystyle \mathrm{I}_{\mathrm{AB}}$ and $\displaystyle \mathrm{I}_{\mathrm{CM}}$ is $\displaystyle x: 9$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$. Figure: JEE Main Physics 2023, Rotational Motion
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