Q. The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
A) $\sqrt{2}\ :1$
B) $\sqrt{2}\ :\sqrt{3}$
C) $\sqrt{3}\ :\sqrt{2}$
D) $1\ :\sqrt{2}$
Explanation
(d) Radius of gyration of circular disc $k_{disc} = \frac{R}{\sqrt{2}}$
Radius of gyration of circular ring $k_{ring} = R$
Ratio $= \frac{k_{disc}}{k_{ring}} = \frac{1}{\sqrt{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.