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If Qs4 and Qs6 are the equilibrium discharges of S- curve for the catchment obtained by 4 hour UH summation and 6 hour UH summation, respectively, then Qs4/Qs6 is __________. (Up to 2 decimal places)
  • a)
    1.5
  • b)
    3.2
  • c)
    3.0
  • d)
    1.44
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If Qs4 and Qs6 are the equilibrium discharges of S- curve for the cat...
Qe = A.1D
Qs4/Qs6 = 6/4 = 1.50
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Most Upvoted Answer
If Qs4 and Qs6 are the equilibrium discharges of S- curve for the cat...
Given:
- Qs4 and Qs6 are the equilibrium discharges of S-curve for the catchment obtained by 4-hour UH summation and 6-hour UH summation, respectively.

To find:
- Qs4/Qs6.

Solution:
To solve this problem, we need to understand the concept of S-curves and the relationship between the equilibrium discharges obtained by different UH summations.

1. S-curves:
S-curves are used to represent the response of a catchment to a unit hydrograph (UH). They provide a graphical representation of the relationship between rainfall excess and runoff. The S-curve is obtained by plotting the cumulative runoff against the cumulative rainfall excess.

2. Equilibrium Discharge:
The equilibrium discharge is the maximum value of the discharge obtained from the S-curve. It represents the steady-state condition where the catchment has reached its maximum runoff response.

3. UH Summation:
UH summation refers to the process of adding multiple unit hydrographs to represent a given hydrological condition. It involves multiplying the unit hydrograph by the rainfall excess at each time interval and summing the individual contributions.

4. Relationship between Equilibrium Discharges:
The equilibrium discharge obtained from a longer UH summation is expected to be greater than the equilibrium discharge obtained from a shorter UH summation. This is because a longer UH summation considers a larger time interval and captures more runoff contribution.

5. Calculation:
In this case, Qs4 and Qs6 represent the equilibrium discharges obtained from 4-hour UH summation and 6-hour UH summation, respectively.

Since Qs6 is obtained from a longer UH summation, it is expected to be greater than Qs4.

Therefore, Qs4/Qs6 < />

The correct answer is option 'A' (1.5) as it is the only option that satisfies the condition Qs4/Qs6 < 1.="" />
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If Qs4 and Qs6 are the equilibrium discharges of S- curve for the catchment obtained by 4 hour UH summation and 6 hour UH summation, respectively, then Qs4/Qs6 is __________. (Up to 2 decimal places)a)1.5b)3.2c)3.0d)1.44Correct answer is option 'A'. Can you explain this answer?
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