Practice Famous Dispersion Relationship - 2.4 | 21. Velocity Potential Derivation | Hydraulic Engineering - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define wave celerity.

💡 Hint: Think about how you calculate speed in general.

Question 2

Easy

What does the dispersion relationship relate in wave mechanics?

💡 Hint: Consider the main parameters that affect wave characteristics.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the dispersion relationship express?

  • Wavelength and period relationship
  • Wave energy
  • Fluid potential

💡 Hint: Think about how waves travel in fluids.

Question 2

True or False: Wave celerity decreases with increasing water depth.

  • True
  • False

💡 Hint: Remember the effect of depth from the dispersion equation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A wave travels at a water depth of 10 meters. How would the dispersion relationship change if the depth is increased to 30 meters? Explain.

💡 Hint: Consider how the function tanh behaves with increasing values of k and d.

Question 2

Given a period of a wave is 4 seconds and using the dispersion equation, derive the wavelength required for a given water depth of 5m.

💡 Hint: First, calculate k then backtrack to find the wavelength.

Challenge and get performance evaluation