The ordinate of the IUH of a catchment at any time t is thea)slope of ...
Understanding IUH and Its Ordinate
The Instantaneous Unit Hydrograph (IUH) is a crucial concept in hydrology used to model the response of a catchment to a unit input of rainfall over a short duration. The ordinate of the IUH at any time 't' represents a key aspect of this response.
What Does the Ordinate Represent?
- The ordinate of the IUH reflects how much runoff is generated at a specific time due to a unit input (usually 1 cm of rainfall) over a given duration.
- In the context of option 'C', it specifically refers to the slope of the S-curve of intensity 1 cm/h.
Understanding the S-Curve
- The S-curve represents the cumulative runoff over time from a unit input of rainfall.
- The slope of the S-curve indicates the rate of change of runoff with respect to time, which is essential for understanding how quickly the catchment responds to rainfall.
Why Option C is Correct
- When considering a rainfall intensity of 1 cm/h, the slope of the S-curve at any time 't' provides insight into the instantaneous runoff generated by that intensity.
- The IUH is derived from this concept, as it describes the instantaneous response to a unit input, making the slope of the S-curve at 1 cm/h a direct reflection of the IUH at that moment.
Conclusion
In summary, the ordinate of the IUH at any time 't' is correctly identified by option 'C' because it indicates the slope of the S-curve for a 1 cm/h rainfall intensity, illustrating the immediate catchment response to rainfall inputs. Understanding this relationship is fundamental for effective hydrological modeling and flood forecasting.