GATE CE 2020 Set 1 — Question 46
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumEnergy Loss in JumpHydraulic Jump & Varied FlowWater Resources Engineering
Water Resources Engineering → Hydraulic Jump & Varied Flow → Energy Loss in Jump
Last updated
Question
Water flows at the rate of 12 m/s in a 6 m wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is 30 cm (just before the jump). Considering acceleration due to gravity as 9.81 m/s and density of water as 1000 kg/m, the energy loss in the jump is
Correct answer
(A) 114.2 kW
Solution
Given data:
Flow rate m/s
Channel width m
Upstream depth cm = 0.3 m
Acceleration due to gravity m/s
Density of water kg/mStep 1: Calculate the unit discharge () and upstream velocity ().
Unit discharge
Upstream velocity Step 2: Calculate the Froude number () for the upstream flow.
Step 3: Calculate the downstream depth () using the hydraulic jump equation.
For a rectangular channel, the relation between conjugate depths is:
Step 4: Calculate the energy loss () in the hydraulic jump.
The head loss (energy loss per unit weight) in a hydraulic jump for a rectangular channel is given by:
Step 5: Calculate the power loss ().
Power loss is given by
Comparing with the given options, 114.2 kW is the closest value.The final answer is
Flow rate m/s
Channel width m
Upstream depth cm = 0.3 m
Acceleration due to gravity m/s
Density of water kg/mStep 1: Calculate the unit discharge () and upstream velocity ().
Unit discharge
Upstream velocity Step 2: Calculate the Froude number () for the upstream flow.
Step 3: Calculate the downstream depth () using the hydraulic jump equation.
For a rectangular channel, the relation between conjugate depths is:
Step 4: Calculate the energy loss () in the hydraulic jump.
The head loss (energy loss per unit weight) in a hydraulic jump for a rectangular channel is given by:
Step 5: Calculate the power loss ().
Power loss is given by
Comparing with the given options, 114.2 kW is the closest value.The final answer 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 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…