Allied & ICAR Exam Bank • ALLIED_1229 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Canal Design and Silt Theories

Subtopic: Lacey's Regime Slope

Question Statement:

In Lacey's regime theory, the regime channel bed slope is given by $S = \frac{f^{5/3}}{3340 Q^{1/6}}$. For silt factor $f = 1.0$ and design discharge $Q = 64\text{ m}^3/\text{s}$ (so $Q^{1/6} = (64)^{1/6} = 2.0$), the bed slope $S$ is $\frac{1}{K}$. The value of $K$ is:

Answer Key:

6680

Step-by-Step Solution & Explanation

$S = \frac{1.0^{5/3}}{3340 \times (64)^{1/6}} = \frac{1}{3340 \times 2.0} = \frac{1}{6680}$. Hence $K = 6680$.
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