Find the associated frequencies for each standing wave. The distance between the two dots at the ends of the standing wave is the distance L. n =1 n = 2 n = 3 n = 4 < For n= (Select ) ( Select ] 1f1. For n= (Select ) ( Select ] = 2f1. For n= ( Select ] v. ( Select ] = 3f1. For n= (Select ] [ Select ] = 4f1.
Find the associated frequencies for each standing wave. The distance between the two dots at the ends of the standing wave is the distance L. n =1 n = 2 n = 3 n = 4 < For n= (Select ) ( Select ] 1f1. For n= (Select ) ( Select ] = 2f1. For n= ( Select ] v. ( Select ] = 3f1. For n= (Select ] [ Select ] = 4f1.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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![### Standing Wave Frequencies
To determine the associated frequencies for each standing wave, consider that the distance between the two dots at the ends of the standing wave is the distance \( L \).
1. **For \( n = 1 \)**
- Diagram: A single loop that spans the full distance \( L \).
- Explanation: The fundamental frequency, \( f_1 \), represents the first harmonic.
2. **For \( n = 2 \)**
- Diagram: Two loops, with each loop spanning half the distance \( L \).
- Explanation: The second harmonic, \( 2f_1 \), is double the fundamental frequency.
3. **For \( n = 3 \)**
- Diagram: Three loops, each occupying one-third of distance \( L \).
- Explanation: The third harmonic, \( 3f_1 \), is triple the fundamental frequency.
4. **For \( n = 4 \)**
- Diagram: Four loops, with each segment taking up one-quarter of the distance \( L \).
- Explanation: The fourth harmonic, \( 4f_1 \), is four times the fundamental frequency.
### Selection Interface
Below the visual representations, there's an interactive section for selecting the appropriate values of \( n \) and corresponding frequencies.
For \( n = \):
- [ Select ] , [ Select ] = \( 1f_1 \)
- [ Select ] , [ Select ] = \( 2f_1 \)
- [ Select ] , [ Select ] = \( 3f_1 \)
- [ Select ] , [ Select ] = \( 4f_1 \)
In this section, users need to correctly match the harmonic orders (n-values) with their respective frequencies. This interactive component helps reinforce the understanding of how standing wave harmonics relate to frequency multiples of a fundamental frequency.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d1946c-f762-4e3a-8c36-27da7e5b3b87%2Fcc447a7c-65b4-4ab4-8ab8-6a407fc8962e%2F771jv8o_processed.png&w=3840&q=75)
Transcribed Image Text:### Standing Wave Frequencies
To determine the associated frequencies for each standing wave, consider that the distance between the two dots at the ends of the standing wave is the distance \( L \).
1. **For \( n = 1 \)**
- Diagram: A single loop that spans the full distance \( L \).
- Explanation: The fundamental frequency, \( f_1 \), represents the first harmonic.
2. **For \( n = 2 \)**
- Diagram: Two loops, with each loop spanning half the distance \( L \).
- Explanation: The second harmonic, \( 2f_1 \), is double the fundamental frequency.
3. **For \( n = 3 \)**
- Diagram: Three loops, each occupying one-third of distance \( L \).
- Explanation: The third harmonic, \( 3f_1 \), is triple the fundamental frequency.
4. **For \( n = 4 \)**
- Diagram: Four loops, with each segment taking up one-quarter of the distance \( L \).
- Explanation: The fourth harmonic, \( 4f_1 \), is four times the fundamental frequency.
### Selection Interface
Below the visual representations, there's an interactive section for selecting the appropriate values of \( n \) and corresponding frequencies.
For \( n = \):
- [ Select ] , [ Select ] = \( 1f_1 \)
- [ Select ] , [ Select ] = \( 2f_1 \)
- [ Select ] , [ Select ] = \( 3f_1 \)
- [ Select ] , [ Select ] = \( 4f_1 \)
In this section, users need to correctly match the harmonic orders (n-values) with their respective frequencies. This interactive component helps reinforce the understanding of how standing wave harmonics relate to frequency multiples of a fundamental frequency.
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