A crop having a base period of 120 days requires the following depth of water application in the planting stage, vegetation stage, flowering stage, and maturity stage as 20 cm, 32 cm, 25 cm and 13 cm, respectively. Estimate the duty of irrigation water in ha/cumec units. 

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SSC JE (Civil) 2023 Official Paper-II (Held On: 04 Dec, 2023 Shift 1)
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  1. 1152
  2. 648
  3. 848
  4. 1346

Answer (Detailed Solution Below)

Option 1 : 1152
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Concept:

Duty: It is the number of hectares of land irrigated for full growth of a given crop by a supply of 1 cumec of water continuously during the entire base period of that crop.

Delta: The total water depth required by a crop to attain its full maturity in its base period.

Base Period: The time between the first watering of a crop at the time of its sowing to its last watering before harvesting is called the base period of the crop. It is expressed in days.
The relation between Duty (D), Delta (Δ) and Base period (B) is given as:

\(D(Hectares/cumecs)=\frac{8.64\times B(days)}{\Delta (meters)}\)

Given

B = 120 Days, Δ = 20+32+25+13 = 90 cm = 0.90 m, D = ?

Calculation

\(D(Hectares/cumecs)=\frac{8.64\times 120}{0.9} = 1152\)

D = 1152(Hectares/cumecs)

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