OUESTION $1$: $(40$ points$)$

The flowrate of the water in a very wide channel is measured by a rectangular sharpcrested weir with a discharge coefficient of $0\mathrm{.}65,$ and the weir height is $2\mathrm{.}50m.$ The upstream water depth is $4\mathrm{.}50m.$ The channel is lined with unfinished concrete with a roughness coefficient of $0\mathrm{.}016,$ and the slope of the channel is $1\%.$ Will there be a hydraulic jump in the channel downstream of the weir? Please explain it based on hydraulic principles. You can take the density of water as $1000k\frac{g}{m^3},$ water viscosity as $0\mathrm{.}001k\frac{g}{m}s,$ atmospheric pressurc as $101$kPa, and gravitational acceleration as $9\mathrm{.}81\frac{m}{s^2}.$