What are the three longest wavelengths for standing sound waves in a 107-cm-long tube under the following conditions. ▾ Part A The tube is open at both ends. Express your answer in meters and separated by commas. ▸ View Available Hint(s) 195] ΑΣΦ λι, λg, Ag = Submit Part B The tube is open at one end, closed at the other? Express your answer in meters and separated by commas. ▸ View Available Hint(s) A₁, A₂, A3 = Submit 1 VE ΑΣΦ ? ? m m
What are the three longest wavelengths for standing sound waves in a 107-cm-long tube under the following conditions. ▾ Part A The tube is open at both ends. Express your answer in meters and separated by commas. ▸ View Available Hint(s) 195] ΑΣΦ λι, λg, Ag = Submit Part B The tube is open at one end, closed at the other? Express your answer in meters and separated by commas. ▸ View Available Hint(s) A₁, A₂, A3 = Submit 1 VE ΑΣΦ ? ? m m
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Understanding Standing Sound Waves in a Tube**
This exercise focuses on determining the three longest wavelengths for standing sound waves in a tube that is 107 cm long. Two different conditions are considered:
---
**Part A: Tube Open at Both Ends**
Here, the tube acts as an open-open resonator. For a tube open at both ends, the longest wavelengths are determined by the formula:
\[
\lambda_n = \frac{2L}{n}
\]
where \( L \) is the length of the tube (107 cm), and \( n \) is the harmonic number (1, 2, 3,...).
The task is to find the three longest wavelengths and express the answer in meters, separated by commas.
---
**Part B: Tube Open at One End, Closed at the Other**
In this scenario, the tube functions as a closed-open resonator. The wavelengths are calculated using:
\[
\lambda_n = \frac{4L}{(2n-1)}
\]
with \( L \) as the tube length (107 cm), and \( n \) representing the harmonic number (1, 2, 3,...).
Again, express the three longest wavelengths in meters, separated by commas.
**Submission Instructions:**
For both parts, submit the wavelengths as \(\lambda_1, \lambda_2, \lambda_3\) in meters.
- **Hints available**: Assistance can be accessed to guide you through the problem-solving process.
- Use the provided input box to enter your solution.
Visual aids or additional resources may be referenced if available to enhance the understanding of the concepts.
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Transcribed Image Text:**Understanding Standing Sound Waves in a Tube**
This exercise focuses on determining the three longest wavelengths for standing sound waves in a tube that is 107 cm long. Two different conditions are considered:
---
**Part A: Tube Open at Both Ends**
Here, the tube acts as an open-open resonator. For a tube open at both ends, the longest wavelengths are determined by the formula:
\[
\lambda_n = \frac{2L}{n}
\]
where \( L \) is the length of the tube (107 cm), and \( n \) is the harmonic number (1, 2, 3,...).
The task is to find the three longest wavelengths and express the answer in meters, separated by commas.
---
**Part B: Tube Open at One End, Closed at the Other**
In this scenario, the tube functions as a closed-open resonator. The wavelengths are calculated using:
\[
\lambda_n = \frac{4L}{(2n-1)}
\]
with \( L \) as the tube length (107 cm), and \( n \) representing the harmonic number (1, 2, 3,...).
Again, express the three longest wavelengths in meters, separated by commas.
**Submission Instructions:**
For both parts, submit the wavelengths as \(\lambda_1, \lambda_2, \lambda_3\) in meters.
- **Hints available**: Assistance can be accessed to guide you through the problem-solving process.
- Use the provided input box to enter your solution.
Visual aids or additional resources may be referenced if available to enhance the understanding of the concepts.
---
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