The `KE` and moment of inertia about the given end point of a rod of mass `m` and length `l` and cross sectional area `A` which is rotating with `omega=sqrt(g/l)` as shown in figure. Will be [density of the rod varies as `rho=rho_(0)(1+x/l),x` is the distance measured from `O`)n ]
A. `KE=7/36 mgl`
B. `I=(7rho_(0)Al^(3))/36`
C. `KE=7/39mgl`
D. `I=(11rho_(0)Al^(3))/36`