Practice Eigenfrequencies On A String (fixed Ends) (4.2) - Non-Dispersive Transverse and Longitudinal Waves in 1D & Introduction to Dispersion

Practice: Eigenfrequencies on a String (Fixed Ends)

Lesson 4.2Non-Dispersive Transverse and Longitudinal Waves in 1D & Introduction to Dispersion

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9 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the formula for allowed wavelengths on a fixed string?
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Think about how the length of the string relates to the harmonics.
Question 2.
How does frequency change when the length of the string decreases?
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Consider the relationship between frequency and wavelength.
3Question 3.
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 \\)
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Consider how multiple wavelengths fit into the length of the string.
4Question 4.
True or False: Increasing the length of the string will increase the frequency of the eigenfrequencies.
- True
- False
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Review the relationship between length and frequency.
Question 5.
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.
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Remember to substitute correctly to find your frequencies.
Question 6.
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?
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Consider how tension affects frequency changes.

5 more questions in this section. Enroll free to practise them all.