A specific energy diagram for a concrete rectangular channel carrying $600$ cfs is given in the figure below $($units are given in feet$).$ Use this diagram to answer the questions below.

Specific Energy for a Constant Q

$16$

a$)$ The incoming flow has a depth of $10$ ft $.$ If there is an increase in the channel depth by $0\mathrm{.}5$ ft with a $0\mathrm{.}5$ ft of head loss. What is the depth of flow after the step? $(6$ points$)$

b$)$ What is the maximum allowable step size so that choking is prevented? $(6$ points$)$

c$)$ What is the width of the channel? Assume that the $=1.(7$ points$)$

d$)$ In part $a,$ is the flow supercritical or subcritical in this channel? What term of the specific energy equation provides most of the specific energy in the channel for part $a?(3$ points$)$

e$)$ Without calculating, what would happen to the specific energy diagram if the width of channel doubles? Discuss. $(3$ points$)$