If Δ is the depth of water in m, B is the base period in days and D is the duty of water in hectare/cumec, then relation is

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UKPSC JE Civil 8 May 2022 Official Paper-II
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  1. Δ  = 8.64 D/B
  2. D = 8.64 Δ/B
  3. Δ = 8.64 B/D
  4. B = 8.64 Δ /D

Answer (Detailed Solution Below)

Option 3 : Δ = 8.64 B/D
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Concept-

Duty-

  • Duty is defined as the number of hectares of land that is irrigated for the complete growth of a crop by supplying 1-meter cubes per second of water continuously throughout the crop or base period ‘B’ of the respective crop.
  • Duty gives a relation between the volume of water and the area of the crops that are harvested.

Delta-

  • It is defined as the total depth of water required by a particular crop to attain its maturity condition.
  • It is represented in cm.

Base Period-

  • The time period from the first watering of the crop during its sowing to the last watering of the crop before its harvesting is called a base period. It is also called a base of the crop.

The relationship between duty and delta is given by the formula:

\(\Delta = \frac{{8.64B}}{D}\)

Where \(\Delta \) = Delta in m

B = Base period and D = Duty 

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