$*($b$))$ A rectangular channel $3$ m wide discharges $225$ litres $\frac{?}{\text{m}\text{i}\text{n}}.$ Plot a specific energy curve and state the type of flow when:

$($i$)$ Depth of flow is $0\mathrm{.}75$ m

$($ii$)$ Depth of flow is $2\mathrm{.}7$ m

$($iii$)$ Determine their corresponding specific energies and the bed slope required to maintain these depths of flow Take Manning's $n=0\mathrm{.}013$

$(13$Marks$)$