The ratio of the radius of gyration of a thin uniform disc about an...

For a thin uniform disc.

Radius of gyration

Case 1: ${K}_{1} = \dfrac{R}{\sqrt{2}}$

Case 2: ${K}_{2} = \dfrac{R}{2}$

$Q ⇒ \dfrac{{K}_{1}}{{K}_{2}} = ?$

$∴ \dfrac{{K}_{1}}{{K}_{2}} = \dfrac{\dfrac{R}{\sqrt{2}}}{\dfrac{R}{2}}$ $= \sqrt{2}$