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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

`(sqrt(3)R)/(2)`

C

`(2R)/(sqrt3)`

D

`R/(sqrt3)`

Text Solution

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 = (MR^2)/(2) + (MR^2)/(4)`
`implies I = 3/4 MR^2`
`:. MR^2 = 3/4 MR^2 implies R = (sqrt(3)R)/(2)`
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