Q$.$ Write a suitable computer code in c language for the calculation of the critical and normal depths for a

prismatic channel of trapezoidal, rectangular and triangular shape using a suitable. The main

data provided are as follows:

Flow rate $=Q\frac{m^3}{s}$

Channel length $=4000m$

Longitudinal bed slope $=0\mathrm{.}001$

Manning's coefficient of friction $=0\mathrm{.}02$

Bottom width $=10m($for trapezoidal and rectangular cross$-$sections$)$

Side slope $=1$:$1\mathrm{.}5($for trapezoidal and triangular cross$-$sections$)$

Use the Newton$-$Raphson iterative algorithm with a computational step of $0\mathrm{.}1m.$ Q$=38\mathrm{.}5$m$^3/$s