Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Ratio between the area of crop irrigated and quantity of water applied to the crop is called as delta
Reason R: Any crop management practice aimed at economy in irrigation water application increases delta
In light of the above statements, choose the most appropriate answer from the options given below
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Remember the inverse relationship between Duty and Delta:
\[ \Delta = \frac{64 B}{D} \]
Where \(B\) is the base period in days, \(D\) is Duty, and \(\Delta\) is Delta.
- High efficiency (economizing water) \(\rightarrow\) Decreases Delta (\(\Delta\)) and Increases Duty (\(D\)).
Both A and R are correct and R is the correct explanation of A
Both A and R are correct but R is NOT the correct explanation of A
Both A and R are incorrect
A is incorrect but R is correct
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The Correct Option isC
Solution and Explanation
Step 1: Understanding the Concept:
Duty and Delta are two fundamental terms used in irrigation engineering to describe water requirements and crop irrigation relationships.
- Duty (D): The area of land that can be irrigated with a unit volume of continuous water flow (expressed in hectares per cumec).
- Delta (\(\Delta\)): The total depth of water required by a crop during its entire growth period in the field (expressed in cm or meters). Step 2: Detailed Explanation:
Let us evaluate both statements:
- Assertion A: "Ratio between the area of crop irrigated and quantity of water applied to the crop is called as delta."
This statement is incorrect.
The ratio of the area of the crop irrigated to the quantity of water applied is actually the definition of Duty, not Delta.
Delta represents the total depth of water applied, which is the ratio of the volume of water used to the area irrigated:
\[ \text{Delta } (\Delta) = \frac{\text{Volume of Water applied}}{\text{Area of Land irrigated}} \]
- Reason R: "Any crop management practice aimed at economy in irrigation water application increases delta."
This statement is incorrect.
Economizing water means applying less total volume of water to the crop.
Since Delta (\(\Delta\)) is the total depth of water applied, any practice that reduces water application (such as drip irrigation or micro-sprinklers) will decrease the delta, not increase it.
Therefore, both statements A and R are incorrect. Step 3: Final Answer:
The correct option is (C).
