$($a$)$ Compute the depth $$h$$ on the composite channel section $($symmetrical$)$ shown in Figure Q$2$ to maintain a velocity of $2$m$/$s$.$ the bed slope of channel is $1$ in $1500,$ and channel boundary is made of brick in cement mortar $($b$)$ After flowing over the concrete spillway of a dam, $250$ m$3/$s then passes over a level concrete $($trowel finish$)$ apron. The velocity of water at the bottom of the spillway is $12$ m$/$s$.$ The width of the apron is $55$ m$.$ if the depth of water in the channel below the apron is $3$m:

i$)$ Determine whether a hydraulic jump will occur downstream of spillway

ii$)$ What is the pre$-$jump depth?

iii$)$ Determine the energy dissipated in the jump