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GATE 2026 CE (CE2) – Question 19

Irrigation · Irrigation systems and methods, crop water requirements · 1 mark · Multiple choice

The Culturable Command Area (CCA) for a canal is 10000 hectares. The base period for a crop in the CCA is 140 days. Watering depth for the crop is 40 cm. The outlet discharge (in m$^3$/s) lies between

  1. 3 and 4
  2. 13 and 14
  3. 23 and 24
  4. 33 and 34

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Show answer and explanation

Correct answer: (A) 3 and 4

Explanation

Duty $D = \frac{8.64\,B}{\Delta}$ hectares per cumec, with the base period $B$ in days and the depth $\Delta$ in metres. So $D = \frac{8.64 \times 140}{0.4} = 3024$ ha/cumec. The discharge is $Q = \frac{A}{D} = \frac{10000}{3024} = 3.31$ m$^3$/s, which lies between 3 and 4.