Uniform flow occurs in a long rectangular channel $4m$ wide at a depth of $2\mathrm{.}0m.$ The channel is laid on a slope of $0\mathrm{.}001$ and has a manning coefficient $n=0\mathrm{.}025.$ Find $(12$ Marks$)$

The flow rate

Specific Energy at section $1$

The eritical depth

Type of flow

The minimum height of a low hump $(x)($hy$)$ that can be built on the floor of this channel to produce critical depth

Hint: $x=E_1-E_2$