Difficult# $E$ Outside Cylinder 3

APPHEM-GKBK3W

The diagram shows the cross-section of a long cylinder having radius $R$. The charge carried by the cylinder is **NOT** uniform; the charge density varies with radius according to the equation $\rho = \dfrac{A}{\sqrt{r}}$.

Which of the following expressions gives the electric field strength at point $P$, a point that lies outside the cylinder and is a distance $r$ from the center of the cylinder?