GATE CE 2015 Set 2 — Question 28
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumAlternate DepthsOpen Channel FlowWater Resources EngineeringSequent DepthHydraulic Jump & Varied Flow
Water Resources Engineering → Hydraulic Jump & Varied Flow → Alternate Depths
Last updated
Question
A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is . The alternate and sequent depths corresponding to are and respectively. The correct relationship among , and is:
Correct answer
(B) yₚ < yₛ < yₐ
Solution
In a hydraulic jump, the flow transitions from supercritical () to subcritical (). The sequent depth is the depth after the jump. The alternate depth is the depth that has the same specific energy as the pre-jump depth , i.e., . Since energy is dissipated in a hydraulic jump, the specific energy at the pre-jump section is greater than at the post-jump section (). Therefore, . For subcritical flow depths (), specific energy increases with depth. Since both and are subcritical and , it follows that . Additionally, for a jump to occur, . Combining these, we get the relationship .
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 Hydraulic Jump & Varied Flow
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…