GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 57 of 65

Marks: +1, -0

47. The total rainfall in a catchment of area

1000 {km}^{2}

, during a

6 {h}

storm, is

19 {cm}

. The surface runoff due to this storm computed from triangular direct runoff hydrograph is

1 × 10^{8} {m}^{3}

. The

ϕ_{\index}

for this storm (in

{cm} {/} {h}

, up to one decimal place) is______________

Solution:

Surface runoff

=\;{1 × 10^{8} {m}^{3}}/{1000 × 10^{6} {m}^{2}}=0.1 {m}=10 {cm}

Total Rainfall

=19 {cm}

Rainfall intensity

=\;{19}/{6}=3.167 {cm} {/} {hr}

W

-index

=\;{P-Q}/{t}=\;{\;\text " Total infiltration "\;}/{\;\text " Total duration of stom "\;}

w

-index

=\;{19-10}/{6}=1.5 {cm} {/} {hr}

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