Given $k_{\text{s}\text{o}\text{i}\text{l}}=3{10}^{-5}c\frac{m}{sec}$ and the flow net shown in the figure below, answer the following questions

a$.$ What is the flow per unit length underneath the dam?

b$.$ Comparing squares S$1$ and S$2,$ across which of these two is the flow rate greater? Across which of

these two is the hydraulic gradient greater? Explain your answers.

c$.$ Clearly draw the elevation to which the water would rise in the two piezometers located at A and B$,$ Show your calculations.

d$.$ What is the factor of safety against a piping condition at point $P($assuming the critical exit

hydraulic gradient $i_{cr}=1\mathrm{.}0)$