Allied & ICAR Exam Bank • ALLIED_0378 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Open Channel Flow

Subtopic: Open Channel Flow

Question Statement:

In a wide rectangular channel carrying unit discharge $q = 2.0\text{ m}^3/\text{s}$ per meter width, taking $g = 9.81\text{ m/s}^2$, the critical depth $y_c = (q^2 / g)^{1/3}$ in meters is (rounded off to two decimal places):

Answer Key:

0.74

Step-by-Step Solution & Explanation

$y_c = \left(\frac{2^2}{9.81}\right)^{1/3} = \left(\frac{4}{9.81}\right)^{1/3} = (0.40775)^{1/3} = 0.7415\text{ m} \approx 0.74\text{ m}$.
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