Question Bank • QB_IDE_GATE_001
MCQ • 2 Marks
Section 5: Irrigation and Drainage Engineering
Irrigation Water Conveyance and Application Methods
Subtopic: Design of irrigation channels and underground pipelines
Question Statement:
Match the Water Measurement Structures in Group-I with their Governing Proportionality in Group-II:
$\begin{array}{|ll|ll|}\hline \textbf{Group-I (Structure)} & & \textbf{Group-II (Discharge Proportionality)} & \\ \hline \text{P. Rectangular Sharp-Crested Weir} & & \text{1. } Q \propto H^{5/2} \\ \text{Q. } 90^\circ \text{ V-Notch Weir} & & \text{2. } Q \propto H^{3/2} \\ \text{R. Submerged Orifice} & & \text{3. } Q \propto H^{1/2} \\ \hline \end{array}$
Select the CORRECT matching pair:
Options:
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(A) P-2, Q-1, R-3
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(B) P-1, Q-2, R-3
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(C) P-2, Q-3, R-1
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(D) P-3, Q-1, R-2
Step-by-Step Solution & Explanation
Open Channel Measurement Head-Discharge Exponents:
- **Rectangular Weir**: $Q \propto H^{3/2}$ (2).
- **V-Notch Weir ($90^\circ$)**: $Q \propto H^{5/2}$ (1).
- **Submerged Orifice**: $Q \propto \sqrt{H}$ (3).
Correct match: **P-2, Q-1, R-3**.
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