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The ratio of the radii of gyration of a ...

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.

A

`sqrt2:1`

B

`sqrt2:sqrt3`

C

`sqrt3:sqrt2`

D

`1: sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
`(I_(d))/(I_(r))= ((MR^(2))/(2))/(MR^(2)) rArr (1)/(2)= (k_(1)^(2))/(k_(2)^(2)) rArr (k_(1))/(k_(2))= (1)/(sqrt2)`
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