4 - Standing Waves and Eigenfrequencies
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Practice Questions
Test your understanding with targeted questions
What are nodes in a standing wave?
💡 Hint: Think about where the wave isn’t moving at all.
Describe antinodes in simple terms.
💡 Hint: Where is the wave at its highest or lowest?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens at the nodes of a standing wave?
💡 Hint: Think about where the wave does not move.
Eigenfrequencies are dependent on which properties?
💡 Hint: Recall what factors determine the frequencies of vibrations.
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Challenge Problems
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A string of length 3 m is fixed at both ends. If the wave speed on the string is 270 m/s, calculate the first four eigenfrequencies.
💡 Hint: Apply \\( f_n = \\frac{nv}{2L} \\) for each harmonic.
Describe how changing the tension in a string affects the standing wave patterns.
💡 Hint: Consider the relationships you've learned about speed and frequency.
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