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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for allowed wavelengths on a fixed string?
💡 Hint: Think about how the length of the string relates to the harmonics.
Question 2
Easy
How does frequency change when the length of the string decreases?
💡 Hint: Consider the relationship between frequency and wavelength.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the relationship between the wavelength and harmonic number for a fixed string?
- \\( \\lambda_n = \\frac{L}{n} \\)
- \\( \\lambda_n = \\frac{2L}{n} \\)
- \\( \\lambda_n = nL \\)
💡 Hint: Consider how multiple wavelengths fit into the length of the string.
Question 2
True or False: Increasing the length of the string will increase the frequency of the eigenfrequencies.
- True
- False
💡 Hint: Review the relationship between length and frequency.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate the eigenfrequencies for a fixed string of length 3.0 m made of a material generating a wave speed of 150 m/s up to the 4th harmonic.
💡 Hint: Remember to substitute correctly to find your frequencies.
Question 2
A guitar string is tuned to a fundamental frequency of 440 Hz. If the tension is increased by 25%, what will be the new fundamental frequency?
💡 Hint: Consider how tension affects frequency changes.
Challenge and get performance evaluation