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    A catchment area of 60 ha has a run off coefficient of 0.40. If a storm of intensity 3 cm/h and duration longer than the time of concentration occurs
    Question

    A catchment area of 60 ha has a run off coefficient of 0.40. If a storm of intensity 3 cm/h and duration longer than the time of concentration occurs in the catchment, then what is the peak discharge?

    A.

    2.0m³/s

    B.

    3.5m³/s

    C.

    4.5m³/s

    D.

    2.5m³/s

    Correct option is A

    Given: A=60 ha=60×104 m2=600000 m2,C=0.40,i=3 cm/h=0.03 m/h.Convert intensity to m/s: i=0.033600=8.3333×106 m/s.Rational formula: Q=C i A.Q=0.40×(8.3333×106)×600000=2.0 m3/s.\text{Given: } A = 60\ \text{ha} = 60\times10^4\ \text{m}^2 = 600000\ \text{m}^2,\quad C=0.40,\quad i=3\ \text{cm/h}=0.03\ \text{m/h}.\\[6pt]\text{Convert intensity to m/s: } i = \frac{0.03}{3600} = 8.333\overline{3}\times10^{-6}\ \text{m/s}.\\[6pt]\text{Rational formula: } Q = C\,i\,A.\\[6pt]Q = 0.40 \times (8.333\overline{3}\times10^{-6}) \times 600000 = 2.0\ \text{m}^3/\text{s}.​​

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