A rectangular channel $2$ m wide has a flow of $2\mathrm{.}4$ m$\%$ at a depth of $1\mathrm{.}0$ m$.$ Determine whethercritical depth occurs at $($a$)$ a section where a bump of Az $=30$ cm high is installed across thechannel bed, $($b$)$ a side wall constriction $($with no humps$)$ reducing the channel width to $1\mathrm{.}6$ m$,$ and $($c$)$ both the hump and the side wall constrictions combined. Neglect headlosses of the hump and constriction caused by friction, expansion, and contraction.