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

A. `sqrt(2):1`
B. `sqrt(2):sqrt(3)`
C. `sqrt(3):sqrt(2)`
D. `1:sqrt(2)`

Answer

D

Explanation

`(I_(d))/(I_(r))=(2)/(MR^(2))implies(1)/(2)=(k_(1)^(2))/(k_(2)^(2))implies(k_(1))/(k_(2))=(1)/(sqrt(2))`