A smooth, horizontal $,$rectangular channel experiences a smooth expansion with a change in bed elevation. Upstream of the transition, the channel width is $18$m and the bed elevation is respectively $22\mathrm{.}5$m and $8\mathrm{.}4$m AHD. Made out of smooth concrete.

The upstream water depth $=0\mathrm{.}8$m and the upstream discharge is $25$ m$3/$s

Q$1/$ The downstream water depth equals?

a$)1\mathrm{.}271$ m b$)1\mathrm{.}210$ m c$)0\mathrm{.}246$ m e$)0\mathrm{.}849$ m d$)0\mathrm{.}501$ m

Q$2/$ The horizontal Sliding force acting on the channel transition structure equals?

a$)230$ KN b$)30$ KN c$)689$ N d$)48\mathrm{.}9$ N e$)389$ N

For a different flow situation, the upstream and downstream water depths are $2\mathrm{.}1$m and $1\mathrm{.}16$ m resectively.

Q$3/$The water discharge equals?

a$)16\mathrm{.}1$ m$3/2$ b$)32$ m$3/$s c$)112$ m$3/$s d$)95$ m$3/2$ e$)25$ m$3/2$

Q$4/$ From where is the flow controlled and why?

a$)$ Change in invert elevation because flow is critical

b$)$ Downstream because flow is sub$-$critical

c$)$Upstream because flow is sub$-$critical

d$)$downstream because flow is super$-$critical

e$)$ Upstream because flow is super$-$critical