QUESTION $2$ HYDROLOGY

$[30]$

A $1-$day record of measured rainfall and runoff rates from a catchment of area $28k{m}^2$ are given in Table $1.$

$($a$)$ Use the data in Table $1$ to derive a $1-$hr unit hydrograph for the catchment and a $-$ index $(m\frac{m}{h}r)$ for evapo$-$transpiration losses. Plot the unit hydrograph.

$[10]$

$($b$)$ Derive a $\frac{1}{2}-$hr unit hydrograph from the $1-$hr unit hydrograph

$[10]$

$($c$)$ Apply the unit hydrographs to estimate a $50-yr$ flood hydrograph from the design storm hyetograph given in Table $2.$ Plot the resulting direct runoff hydrograph.

$[10]$

$\backslash$table$[[\backslash$table$[[$TABLE $1,],[$Measured Rainfall & Flows$]]],[\backslash$table$[[$Time$],[($hrs$)]],\backslash$table$[[$Rain$],[(m\frac{m}{h}r)$