Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

System of Particle and Rotational Motion

Question:

The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:

Options:

5 : 2

3 : 5

5 : 3 

2 : 5

Correct Answer:

3 : 5

Explanation:

$\text{Radius of gyration of solid sphere about its own axis is } = \sqrt{\frac{2}{5}}R$

$\text{Radius of gyration of hollow sphere about its own axis is } = \sqrt{\frac{2}{3}}R$

$\text{Required Ratio is } \sqrt{\frac{2}{5}} \sqrt{\frac{3}{2}} = \sqrt{\frac{3}{5}}$

All the options are wrong