The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass, about a tangential axis perpendicular to the plane is

Step-by-step solution

(C) I_ Ring =M R²+M h²=M R²+M R²=2 M R²I_ Disc = 1 2 M R²+M h²= 1 2 M R²+M R²= 3 2 M R² k_ ring = 2 R k_ disc = 3 2 R k_ ring k_ disc = 2 R 3 = 2 3 R