Concept:
In irrigation engineering and agricultural water management, understanding soil moisture availability is extremely important for proper irrigation scheduling and crop growth.
Plants can only use a certain portion of water stored in soil. The important moisture concepts are:
• Field Capacity (FC)
• Permanent Wilting Point (PWP)
• Total Available Water (TAW)
• Maximum Allowable Deficit (MAD)
These parameters help determine:
• When irrigation should be applied
• How much water should be supplied
• How much moisture is available to plants
Field Capacity (FC):
Field capacity is the moisture content remaining in soil after excess gravitational water has drained away.
At this stage:
• Soil holds maximum useful water
• Drainage becomes very slow
Permanent Wilting Point (PWP):
Permanent wilting point is the moisture level below which plants cannot extract water and permanently wilt.
Total Available Water (TAW):
The water available for plant uptake is:
\[
\boxed{
TAW = FC - PWP
}
\]
Thus TAW is the water stored between field capacity and wilting point.
Maximum Allowable Deficit (MAD):
MAD represents the fraction of available water that may be depleted before irrigation is required.
Usually:
\[
MAD \approx 50% \text{ of TAW}
\]
for many crops under normal conditions.
Step 1: Analyzing Assertion A carefully.
Assertion A states:
\[
\text{“TAW is the water between field capacity and ultimate wilting point.”}
\]
This statement is correct.
Mathematically:
\[
TAW = FC - PWP
\]
Thus total available water is exactly the moisture available between these two soil moisture limits.
Hence:
\[
\boxed{\text{Assertion A is correct}}
\]
Step 2: Analyzing Reason R carefully.
Reason R states:
\[
\text{“MAD is a part of TAW and is usually considered as 50% of TAW.”}
\]
This statement is also correct.
Explanation:
• Plants are usually not allowed to consume entire TAW before irrigation.
• Irrigation is applied when a certain allowable depletion occurs.
• This allowable depletion is MAD.
For many practical irrigation systems:
\[
MAD \approx 0.5 \times TAW
\]
Hence:
\[
\boxed{\text{Reason R is correct}}
\]
Step 3: Checking whether Reason R explains Assertion A.
Now evaluate whether R correctly explains A.
Assertion A defines:
\[
What TAW is
\]
Reason R discusses:
\[
How much of TAW may be depleted
\]
Although Reason R is correct, it does not explain why TAW is defined as water between field capacity and wilting point.
The reason merely provides additional information regarding irrigation management.
Therefore:
\[
\boxed{\text{Reason R is NOT the correct explanation of Assertion A}}
\]
Step 4: Selecting the correct option.
Thus:
• Assertion A is correct
• Reason R is correct
• But R is not the correct explanation of A
Hence the correct answer is:
\[
\boxed{(B)\ \text{Both A and R are correct but R is NOT the correct explanation of A}}
\]
Final Conclusion:
Both statements are individually true, but the reason does not explain the assertion.
Therefore:
\[
\boxed{(B)}
\]