Q$1)$ The pipe section is laid on a horizontal bed. Water flows in the pipe. The diameters at A and B are $0\mathrm{.}3$ m and $0\mathrm{.}1$ m$,$ respectively. The gage pressures at A and B are $90$ kPa and $40$ kPa, respectively.

i$)$ Calculate the discharge through the pipe.

ii$)$ Calculate the hydrodynamic force on the reducer section AB$.$

iii$)$ The relationship between the hydrodynamic force $($F$)$ on the reduce wil dv rate $($Q$)$ is given below. Cirete the correct graph. Explain your answer with the theories of hydrodynamics.