2.1 - Small Amplitude Wave Assumption
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Practice Questions
Test your understanding with targeted questions
What is the governing equation for wave motion under small amplitude assumptions?
💡 Hint: Think about the equations used in fluid dynamics.
Define celerity in the context of waves.
💡 Hint: Consider the relationship between wave length and time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary governing equation used for small amplitude wave analysis?
💡 Hint: This equation is fundamental in fluid mechanics.
True or False: Celerity is defined as the ratio of wave height to period.
💡 Hint: Remember the correct relationship involving wave properties.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A wave with a wavelength of 12m propagates with a period of 3s in deep water. Derive the celerity and describe how this would change if the water depth were shallow.
💡 Hint: Consider how depth affects wave properties.
Given the dispersion relationship σ² = gk tanh(kd), analyze what happens as k increases while keeping d constant. What physical phenomenon does this relate to?
💡 Hint: Reflect on how wave characteristics change with wavelength.
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