Flow occurs in a rectangular channel of \(6 \mathrm{~m}\) width and has a specific energy of \(3 \mathrm{~m}\). Plot accurately the relation between depth and specific energy. Determine from the curve

(a) the critical depth,

(b) the maximum flow rate,

(c) the flow rate at a depth of \(2.4 \mathrm{~m}\), 

(d) the depths at which a flow rate of \(28.3 \mathrm{~m}^{3} / \mathrm{s}\) may exist, and

(e) the flow condition at these depths.