A uniform cylinder has radius `R` and length `L`. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is `(mR^(2))/2` is equal to moment of inertia of the same cylinder about an axis passing through its centre and normal to its length, then

Options

A. `1:sqrt(2)`
B. `1:2`
C. `1:sqrt(3)`
D. `1:3`

Answer

C

Explanation

`(MR^(2))/2=(ML^(2))/12+(MR^(2))/4`