Allied & ICAR Exam Bank • ALLIED_0373 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Open Channel Flow

Subtopic: Open Channel Flow

Question Statement:

For the most hydraulically efficient (most economical) rectangular open channel section of water depth $y$:

Options:

  • (A) Bottom width $b = 2y$ and hydraulic radius $R = y/2$
  • (B) Bottom width $b = y$ and hydraulic radius $R = y$
  • (C) Bottom width $b = y/2$ and hydraulic radius $R = y/4$
  • (D) $b = 3y$ and $R = y/3$

Answer Key:

A

Step-by-Step Solution & Explanation

Minimizing wetted perimeter for a given area gives $b = 2y$, leading to $P = 4y$ and $R = A/P = 2y^2/(4y) = y/2$.
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