Allied & ICAR Exam Bank • ALLIED_1166 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Time of Concentration

Question Statement:

Using Kirpich's formula $t_c = 0.0195 L^{0.77} S^{-0.385}$ (where $L$ is in meters and $S$ is dimensionless slope), for a watershed flow path length $L = 1000\text{ m}$ on slope $S = 0.04$, given $1000^{0.77} \approx 204.17$ and $0.04^{-0.385} \approx 3.46$, the time of concentration $t_c$ in minutes is:

Answer Key:

13.8

Step-by-Step Solution & Explanation

$t_c = 0.0195 \times 204.17 \times 3.46 \approx 13.77\text{ minutes}$.
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