Allied & ICAR Exam Bank • ALLIED_0880 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Open Channel Flow

Subtopic: Open Channel Flow

Question Statement:

The theoretical discharge over a broad-crested weir of width $b$ under head $H$ under critical flow conditions is given by:

Options:

  • (A) $Q = \left(\frac{2}{3}\right)^{3/2} \sqrt{g} b H^{3/2} \approx 1.705 b H^{3/2}$
  • (B) $Q = \frac{2}{3} b \sqrt{2g} H^{5/2}$
  • (C) $Q = b H \sqrt{g H}$
  • (D) $Q = 2.5 b H^{3/2}$

Answer Key:

A

Step-by-Step Solution & Explanation

At critical flow over a broad crest, $y_c = \frac{2}{3} H$ and $v_c = \sqrt{g y_c}$, yielding $Q = b y_c v_c = \left(\frac{2}{3}\right)^{3/2} \sqrt{g} b H^{3/2} \approx 1.705 b H^{3/2}$.
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