2.4 - Famous Dispersion Relationship
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Practice Questions
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Define wave celerity.
💡 Hint: Think about how you calculate speed in general.
What does the dispersion relationship relate in wave mechanics?
💡 Hint: Consider the main parameters that affect wave characteristics.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the dispersion relationship express?
💡 Hint: Think about how waves travel in fluids.
True or False: Wave celerity decreases with increasing water depth.
💡 Hint: Remember the effect of depth from the dispersion equation.
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Challenge Problems
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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.
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.
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