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

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and a circular ring of the same radius about a tengential axis in the plane of the ring is

A

`sqrt(3):sqrt(5)`

B

`sqrt(12):sqrt(3)`

C

`1:sqrt(3)`

D

`sqrt(5)//sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
`I_("disc")=MK_(1)^(2) =(5)/(4)MR^(2)`
`I_("ring")=MK_(2)^(2) =(3)/(2)MR^(2)`
`(K_(1))/(K_(2))= sqrt((5)/(6))`
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