Question Bank • QB_SWCE_EXP_042 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Soil loss estimation

Question Statement:

In the topographic factor $LS = \left(\frac{\lambda}{22.13}\right)^m \left(65.41 \sin^2 \theta + 4.56 \sin \theta + 0.065\right)$, for a field plot of slope length $\lambda = 88.52\text{ m}$ on a slope having exponent $m = 0.5$, the slope length factor $L = \left(\frac{\lambda}{22.13}\right)^m$ is ________ (answer in integer).

Answer Key:

2

Step-by-Step Solution & Explanation

Slope length factor: $L = \left(\frac{\lambda}{22.13}\right)^m = \left(\frac{88.52}{22.13}\right)^{0.5} = (4.0)^{0.5} = 2.0$
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