The radius of gyration of a uniform circ...

The radius of gyration of a uniform circular ring of radius R, about an axis which is a chord of circle of length `sqrt3R` is ,

A

`R/2`

B

`(sqrt3R)/2`

C

`(2R)/(sqrt3)`

D

`R/sqrt3`

Verified by Experts

The correct Answer is:

B

`I=I_(cm)+m((R)/(2))^(2)`
`implies I=(MR^(2))/(2)+(MR^(2))/(4)`
`implies I=(3)/(4)MR^(2)`
`therefore MR^(2)=(3)/(4)MR^(2) implies R=(sqrt(3)R)/(2)`

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