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Civil Engineering QUESTION #2134
Question 1
In irrigation engineering, the duty of water (\(\Delta\)) and delta (\(D\)) are related to base period (\(B\)) in days by the equation:
  • D = B × \(\Delta\)
  • D = \(\dfrac{8.64 \times B}{\Delta}\)✔️
  • D = \(\dfrac{\Delta}{8.64 \times B}\)
  • D = \(\dfrac{B}{8.64 \times \Delta}\)
Correct Answer Explanation
Duty (\(\Delta\)) = area (hectares) irrigated by 1 cumec (1 m³/s) of water flowing continuously for base period \(B\) (days). Delta (\(D\)) = total depth of water (meters) required by the crop in base period. Relationship: \(D = \dfrac{8.64 \times B}{\Delta}\), derived from: 1 cumec flowing for \(B\) days delivers \(8.64B \times 10^4\) liters over \(\Delta\) hectares. This fundamental relationship governs canal design and water distribution in irrigation systems.