Correct Answer - Option 2 : 1481 hectare / cumec
Explanation
we know, The relation between Duty, Delta and Base period are as follows:
\({\rm{Δ }} = \frac{{864\ \times \ B}}{D}\;cm\)
\(\rm{}Δ = \frac{{Base\;Period\; \times Depth\;of\;Watering}}{{Interval\;of\;Watering}}\)
⇒ \({\rm{D}} = \frac{{864\ \times \ B}}{\Delta}\;cm\)
Δ → depth of water required (cm)
D → Duty (hectares per cumec)
B → Base period (days)
Given,
Bse period = 120 days, Delta (Δ) = 70 cm
\({D} = \frac{{864\ \times \ B}}{Δ}\;=\frac{{864\ \times\ 120}}{70}=\ 1481.14\;ha/cumec\)