2 - Dispersion Relationship
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Practice Questions
Test your understanding with targeted questions
What is the main governing equation used in wave mechanics?
💡 Hint: Think about equations that involve potential fields.
Define wave celerity.
💡 Hint: Consider how we relate speed to distance and time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Laplace equation govern?
💡 Hint: Think about how fluids move in potential fields.
True or False: The dispersion relationship does not consider wave depth.
💡 Hint: Remember that depth plays a critical role in wave behavior.
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Challenge Problems
Push your limits with advanced challenges
If you have a wave with a wavelength of 5m and a period of 2s traveling in 8m of water depth, how would you use the dispersion relationship to check if this is a feasible situation?
💡 Hint: Ensure both sides of the equation balance to confirm feasibility.
You are given a water depth of 4m. What L would correlate with a period of 1.5s using the dispersion relationship?
💡 Hint: Trial and error may be required for L since it appears on both sides.
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