Question:

Match List I with List II 
Choose the correct answer from the options given below: 
 

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Remember the classic relationship between Duty (\(D\)), Delta (\(\Delta\)), and Base Period (\(B\)): \[ \Delta = \frac{8.64 \cdot B}{D} \] where:
- \(\Delta\) is in meters.
- \(B\) is in days.
- \(D\) is in hectares/cumec.
  • A - III, B - IV, C - II, D - I
  • A - III, B - V, C - IV, D - II
  • A - IV, B - V, C - II, D - I
  • A - III, B - V, C - II, D - I
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
Canal irrigation design uses specific terminology to relate water flow, water volume, time, and irrigated area.
Detailed Explanation:
Let us match each term with its standard definition:
- A. Duty of water: Duty represents the area of land that can be irrigated by a continuous unit flow of water (typically expressed in hectares per cumec).
This matches with III. Ratio between irrigated area and quantity of water used.
- B. Irrigation intensity: This represents the ratio of the area irrigated in a given year to the Culturable Command Area (CCA).
It is a measure of the actual area cropped and watered.
This matches with V. Actual area irrigated in a year from an outlet.
- C. Base period: The base period is the total time in days between the first watering of a crop before sowing and its final watering before harvest.
This matches with II. Days for which water is supplied to a crop.
- D. Delta: Delta is the total depth of water required by a crop to reach maturity, calculated as the total volume of water applied divided by the irrigated area.
This matches with I. Total depth of irrigation to a crop.
Combining these pairs gives the sequence: \[ \text{A - III}, \ \text{B - V}, \ \text{C - II}, \ \text{D - I} \] This matches Option (D).

Step 2: Final Answer:

The correct matching sequence is A - III, B - V, C - II, D - I.
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