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 :

Step-by-step solution

Radius of gyration of solid sphere about its own axis is given by, k s o l i d = I M = 2 M R 2 5 M = 2 5 R Similarly, k h o l l o w = I M = 2 M R 2 3 M = 2 3 R Therefore, required ratio would be k s o l i d k h o l l o w = 3 5 . Note: This option was not present in the original paper.