What is the discharge capacity required at the outlet to irrigate 2200 hectares of sugarcane having a kor depth of 16 cm and a kor period of 27 days?

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  1. 1723 ha/cumec
  2. 1458 ha/cumec
  3. 1397 ha/cumec
  4. 1644 ha/cumec

Answer (Detailed Solution Below)

Option 2 : 1458 ha/cumec
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Detailed Solution

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Concept:

Duty is defined as the area that can be irrigated with 1 cumec of water flowing continuously during a period.

\( Q = \frac{Area \times Depth}{Time} \)

Given:

  • Area = 2200 ha
  • Kor depth = 16 cm = 0.16 m
  • Kor period = 27 days = 2332800 seconds

Discharge:

\( Q = \frac{2200 \times 10000 \times 0.16}{2332800} \approx 1.509 \, \text{cumec} \)

Duty:

\( \text{Duty} = \frac{2200}{1.509} \approx 1458 \, \text{ha/cumec} \)

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