Concept:
This question is based on:
• Open channel hydraulics
• Flow classifications
• Hydraulic structures
Different hydraulic conditions are associated with specific field situations.
Step 1: Matching gradually varied flow with increasing discharge.
Gradually varied flow with increasing discharge generally occurs in:
• Hilly rivers
• Steep natural streams
This happens because tributaries continuously add water.
Thus:
\[
\boxed{
A \rightarrow I
}
\]
Step 2: Matching turbulent flow.
Turbulent flow commonly occurs in:
• Irrigation canals
• Open channels with larger Reynolds number
Thus:
\[
\boxed{
B \rightarrow II
}
\]
Step 3: Matching drop structures.
Drop structures are commonly associated with:
• Pipe inlet systems
• Hydraulic energy dissipation
Hence:
\[
\boxed{
C \rightarrow III
}
\]
Step 4: Matching gradually varied flow with decreasing discharge.
Gradually varied flow with decreasing discharge occurs in:
• Drainage ditches
• Channels losing water by infiltration or diversion
Thus:
\[
\boxed{
D \rightarrow IV
}
\]
Step 5: Writing the final matching.
Correct matching becomes:
\[
\boxed{
A-I,\; B-II,\; C-III,\; D-IV
}
\]
Step 6: Comparing with options.
Option (A):
\[
A-I,\; B-II,\; C-III,\; D-IV
\]
This exactly matches the correct arrangement.
Hence:
\[
\boxed{
\text{Option (A) is correct}
}
\]
Option (B):
Incorrect matching.
Hence:
\[
\boxed{
\text{Option (B) is incorrect}
}
\]
Option (C):
Incorrect arrangement.
Hence:
\[
\boxed{
\text{Option (C) is incorrect}
}
\]
Option (D):
Incorrect association.
Hence:
\[
\boxed{
\text{Option (D) is incorrect}
}
\]
Final Conclusion:
Correct matching is:
\[
\boxed{
A-I,\; B-II,\; C-III,\; D-IV
}
\]
Hence the correct answer is:
\[
\boxed{
(A)
}
\]