Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

System of Particle and Rotational Motion

Question:

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 : 

Options:

\(\sqrt{2} : \sqrt{3}\)

\(\sqrt{3} : \sqrt{2}\)

1 : \(\sqrt{2}\)

\(\sqrt{2}\) : 1

Correct Answer:

1 : \(\sqrt{2}\)

Explanation:

\(\frac{I_{disc}}{I_{ring}} = \frac{MR^2/ 2}{MR^2} = \frac{Mk_{disc}^2}{Mk_{ring}^2} \)

\(\frac{k_{disc}}{k_{ring}} = \frac{1}{\sqrt{2}}\)