A rectangular channel has a width of $2\mathrm{.}0$ m and carries a discharge of $4\mathrm{.}80\frac{m^3}{s}$ with a water

flow depth of $1\mathrm{.}60$ m at a certain section upstream. A small, smooth hump with a tip and of

height $0\mathrm{.}10$ m is proposed to be built. Neglect the energy loss.

i$.$ Find the Froude number, describe the state of flow and specify energy upstream

ii$.$ Find the critical depth and the minimum specific energy.

iii. Find the specific energy and water depth on the hump with a brief explanation.

iv$.$ If the height of the hump is $0\mathrm{.}50$ m $,$ find new specific energy on the hump and the new

just upstream depth with a brief explanation.