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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
`MK_(1)^(2)=MR^(2)`
`K_(1)=R`
`MK_(2)^(2)=(MR^(2))/(2)`
`K_(2)=(R)/(sqrt2)`
`(K_(2))/(K_(1))=(sqrt2)/(R)=(1)/(sqrt2)`
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