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. `L=R`
B. `L=sqrt3R`
C. `L=(R )/(sqrt3)`
D. `L=sqrt((3)/(2))R`

Answer

B

Explanation

`(1)/(2)MR^(2)=M((L^(2))/(12)+(R^(2))/(4))implies (R^(2))/(4)=(L^(2))/(12)impliesL=sqrt3R`