GATE CE 2015 Set 1 — Question 58
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumS-Curve HydrographHydrographs & GroundwaterWater Resources Engineering
Water Resources Engineering → Hydrographs & Groundwater → S-Curve Hydrograph
Last updated
Question
The 4-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S-curve (in ) derived from this hydrograph?
| Time (hr) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Unit hydrograph ordinate () | 0 | 0.6 | 3.1 | 10 | 13 | 9 | 5 | 2 | 0.7 | 0.3 | 0.2 | 0.1 | 0 |
Correct answer
21.9 to 22.1
Solution
The maximum ordinate of the S-curve () for a -hour unit hydrograph is reached when the entire catchment contributes to the equilibrium discharge. It can be calculated by summing the unit hydrograph ordinates at intervals of the duration .Given hours and the time interval in the table is hours.
Using the values at :
.Alternatively, using values at :
.Thus, the maximum ordinate of the S-curve is .
Using the values at :
.Alternatively, using values at :
.Thus, the maximum ordinate of the S-curve is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Hydrographs & Groundwater
2026 Set 1 Q16Two reservoirs having different water levels are connected by two long parallel pipelines of same…2026 Set 1 Q17An irrigation canal is to be designed to deliver 10 cumec to meet the peak demand of 7500 hectare…2026 Set 2 Q19The Culturable Command Area (CCA) for a canal is 10000 hectares. The base period for a crop in the…2026 Set 2 Q20Following statements are made with respect to the mass curve of rainfall: (I) Slope at a point on…2026 Set 1 Q23Gradually Varied Flow (GVF) profiles in open channels given in Column 1 are to be matched with the…