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))/2 L`

Answer

C

Explanation

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