Discussion
A water course commands an irrigated area of 6 km\(^2\). Transplantation of rice crop takes 12 days and the total depth of water required by the crop is 40 cm on field during the transplantation period. Assuming loss of water to be 20% in the water course, estimate the duty of water at the head of the water course (in ha/cumec).
(Assume that there is no rainfall during the transplantation period.)
Answer: A
Duty on the field is the area irrigated by one cumec over the base period, and for a delta Δ and base period B it is \(D = 8.64\,B/\Delta\). Here B = 12 days and Δ = 0.40 m, so
\[ \begin{aligned} D_{field} = \frac{8.64 \times 12}{0.40} \\ &= 259.2\ \text{ha/cumec} \end{aligned} \]Since 20 percent of the water is lost in the water course, only 80 percent of the water at the head reaches the field, so the duty at the head of the water course is lower: \(259.2 \times 0.8 = 207.36\) ha/cumec. The value 259.2 is the duty at the field without the loss. The area of 6 km\(^2\) is not needed for the duty.
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