A very wide rectangular channel with bed slope $0\mathrm{.}00035$ and Manning's n $=0\mathrm{.}025$ carries a steady flow of $4\mathrm{.}64$ cumecs $/$ m$.$ If a Sluice Gate is so adjusted to produce a depth of $0\mathrm{.}50$ m in the channel. Determine whether a Hydraulic Jump will be formed downstream? And if so$,$ find the distance from the gate to the Jump