A rectangular channel with a width of $2\mathrm{.}0m$ is carrying a discharge of $2\mathrm{.}0\frac{m^3}{s}$ at a depth of $0\mathrm{.}25m,$ calculate:

a$)$ The specific energy,

b$)$ The critical depth,

c$)$ The alternate depth,

d$)$ The Froude numbers at the alternate depth,

e$)$ Draw the specific energy diagram.