Q$\mathrm{.}2)$ The discharge passing through an open channel having a rectangular cross$-$section is

$75\frac{m^3}{s}.$ The specific energy curves of the channel reach having a transition are given with

some numerical data on the figure. Flow in the upstream of the transition is in

subcritical state with a specific energy of $5\mathrm{.}0m.$ Transition takes place over a horizontal

reach of the channel. For the given data,

a$)$ Determine the critical depths at sections $(1)$ and $(2).$

b$)$ Determine the channel widths at sections $(1)$ and $(2).$

c$)$ Determine the water depth at section $(1).$

d$)$ Show that there is choking.

e$)$ Determine the minimum change in bed elevation $($upward or downward$)$ at the

transition to prevent choking.

f$)$ Draw the side and plan views of the channel $($for part e$)$ indicating the water surface

profile with the numerical values of water depths at sections $(1)$ and $(2).$

g$)$ Indicate the specific energies, water depths and the step height on the specific energy

curves.