The radius of gyration of rod of length `L` and mass `M` about an axis perpendicular to its length and passing through a point at a distance `L//3` from one of its ends is

Options

A. `(sqrt(7))/6 L `
B. `(L^(2))/9`
C. `L/3`
D. `(sqrt(5))/2L `

Answer

C

Explanation

According to parallel axes theorem
`I = (ML^(2))/12 + M (L/6)^(2) = (4ML^(2))/(36) = (ML^(2))/9 :. K = L/3 `