Allied & ICAR Exam Bank • ALLIED_0403 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Hydrology and Runoff

Question Statement:

In Horton's equation, $f_0 = 30\text{ mm/h}$, $f_c = 10\text{ mm/h}$, and decay constant $k = 2.0\text{ h}^{-1}$. Infiltration capacity $f_p$ after $t = 1.0\text{ h}$ (with $e^{-2} \approx 0.1353$) in mm/h is (rounded off to two decimal places):

Answer Key:

12.71

Step-by-Step Solution & Explanation

$f_p = 10 + (30 - 10) e^{-2} = 10 + 20(0.135335) = 10 + 2.7067 = 12.707\text{ mm/h} \approx 12.71\text{ mm/h}$.
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