A crop requires a total depth of water (delta $\Delta$) of $108\text{ cm}$ during a base period $B$ of $120\text{ days}$. The duty of water $D$ in $\text{ha/cumec}$ is ________ (round off to nearest integer).
Answer Key:
960
Step-by-Step Solution & Explanation
The relationship connecting duty $D$, delta $\Delta$, and base period $B$ is:
$\Delta = \frac{8.64 B}{D}$
where $\Delta$ is in meters, $B$ in days, and $D$ in $\text{ha/cumec}$.
Given:
• $\Delta = 108\text{ cm} = 1.08\text{ m}$
• $B = 120\text{ days}$
$D = \frac{8.64 \times 120}{1.08} = \frac{1036.8}{1.08} = 960\text{ ha/cumec}$