11.1.1 - Derivation of the One-Dimensional Wave Equation
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Practice Questions
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What is the one-dimensional wave equation?
💡 Hint: Think about wave propagation in a medium.
Name two types of waves described by the wave equation.
💡 Hint: Consider where you've encountered waves.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the standard form of the one-dimensional wave equation?
💡 Hint: This equation relates how wave displacement changes over time and position.
True or False: The wave equation can only model sound waves.
💡 Hint: Think about different forms of wave propagation.
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Challenge Problems
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A string with a length of 2m is under a tension of 100N and has a mass per unit length of 0.5 kg/m. What is the speed of a wave on this string?
💡 Hint: Focus on finding the values for T and μ to use in the formula.
Describe how to modify the wave equation for a string with varying tension and mass per unit length along its length.
💡 Hint: Think about how each section of the string might behave differently due to changing properties.
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