Question:
A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of 23 m\(^3\)/s. The area of the catchment (in km\(^2\), round off to the nearest integer) is \(\underline{\hspace{2cm}}\).
A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of 23 m\(^3\)/s. The area of the catchment (in km\(^2\), round off to the nearest integer) is \(\underline{\hspace{2cm}}\).
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The area of the catchment can be found using the peak discharge and base width of the triangular unit hydrograph.
Updated On: Dec 30, 2025
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Correct Answer: 595 - 598
Solution and Explanation
The area of the catchment can be calculated using the formula for the triangular unit hydrograph, which is given by:
\[
\text{Area of catchment} = \frac{\text{Peak discharge} \times \text{Base width}}{\text{Rainfall excess}}.
\]
Substituting the given values:
\[
\text{Area of catchment} = \frac{23 \, \text{m}^3/\text{s} \times 144 \, \text{hours}}{1 \, \text{cm}} = 595.2 \, \text{km}^2.
\]
Thus, the area of the catchment is \( \boxed{595} \, \text{km}^2 \).
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