Q$1.(10$ points$)$ Using the Brooks and Corey Model, estimate the moisture content $({}_i)$ and the

magnitude of the tension head $()$ in cm in a soil for which the unsaturated hydraulic

conductivity $K()$ was measured as $2c\frac{m}{h}r.$

The residual moisture content ${}_r$ is equal to $0\mathrm{.}05$

The porosity $n$ is equal to $0\mathrm{.}6$

Assume that the pore size distribution index is $2$

The saturated hydraulic conductivity $K(s)$ is equal to $6c\frac{m}{h}r$

The magnitude of air entry tension ${}_{ac}$ is equal to $50$ cm