### Solve#### Part C**Question:**Find \( v \), the speed of the sound waves in air. Express your answer in meters per second to three significant figures.View Available Hint(s)**Answer:**\[ v = 351 \, \text{m/s} \]Correct#### Part D**Question:**How far (\( r_1 \)) from its original location should the speaker be moved for the listener to experience constructive interference for the second time? Express your answer in meters to three significant figures.View Available Hint(s)**Answer Box:**\[ r_1 = \_\_\_\_\_\_\_\, \text{m} \]---**Explanation:**1. **Part C:** This part asks to find the speed of sound waves in air. The speed is given as 351 m/s with three significant figures. 2. **Part D:** This part demands the calculation of the necessary distance \( r_1 \) that the speaker should be moved to achieve constructive interference for the second time. The answer should be submitted in meters to three significant figures. There are interactive tools such as hints available to aid in solving the problem. ### Sound Wave Interference from LoudspeakersTwo loudspeakers are placed side by side a distance \( d = 4.00 \, \text{m} \) apart. A listener observes maximum constructive interference while standing in front of the loudspeakers, equidistant from both of them. The distance from the listener to the point halfway between the speakers is \( L = 5.00 \, \text{m} \).One of the loudspeakers is then moved directly away from the other. Once the speaker is moved a distance \( r = 60.0 \, \text{cm} \) from its original position, the listener, who is not moving, observes destructive interference for the first time.Find the speed of sound \( v \) in the air if both speakers emit a tone of frequency \( 700 \, \text{Hz} \).#### Figure Explanation:The figure displays the arrangement of the two loudspeakers and the listener. The following points describe the layout:- **Two Loudspeakers**: The leftmost points represent the two loudspeakers which are initially \( d = 4.00 \) meters apart.- **Listener**: The listener is depicted on the right side of the diagram.- **Distances**: - \( d/2 \): Half the distance between the loudspeakers. - \( L \): The horizontal distance from the midway point between the speakers to the listener which is \( 5.00 \, \text{m} \). - \( r \): The new position of one loudspeaker which is \( 60.0 \, \text{cm} \) away from its initial point directly to the left.- **Path Difference**: - \( r_1 \): The distance from one speaker to the listener. - \( r_2 \): The distance from the moved speaker to the listener.The figure is essential to understanding the path difference created by the movement of one of the speakers, leading to destructive interference at the listener's position.### Calculation Steps:1. **Constructive Interference Condition**: Initially, with both speakers fixed, the path difference is zero at the listener's position, resulting in constructive interference.2. **Destructive Interference Condition**: When one speaker is moved \( r \), the path difference must be equal to half of the wavelength \( \lambda /2 \

Answered: Image /qna-images/answer/cfdb4dda-cc49-4516-8c25-624fee94022d.jpg

Solve Part C Find v, the speed of the sound waves in air. Express your answer in meters per second to three significant figures. ► View Available Hint(s) v=351 m/s Submit ✓ Correct Review Previous Answers Part D How far (r.) from its original location should the speaker be moved for the listener to experience constructive interference for the second time? Express your answer in meters to three significant figures. ► View Available Hint(s) [5] ΑΣΦ 3 m

Solve Part C Find v, the speed of the sound waves in air. Express your answer in meters per second to three significant figures. ► View Available Hint(s) v=351 m/s Submit ✓ Correct Review Previous Answers Part D How far (r.) from its original location should the speaker be moved for the listener to experience constructive interference for the second time? Express your answer in meters to three significant figures. ► View Available Hint(s) [5] ΑΣΦ 3 m

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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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

### Sound Wave Interference from Loudspeakers

Two loudspeakers are placed side by side a distance \( d = 4.00 \, \text{m} \) apart. A listener observes maximum constructive interference while standing in front of the loudspeakers, equidistant from both of them. The distance from the listener to the point halfway between the speakers is \( L = 5.00 \, \text{m} \).

One of the loudspeakers is then moved directly away from the other. Once the speaker is moved a distance \( r = 60.0 \, \text{cm} \) from its original position, the listener, who is not moving, observes destructive interference for the first time.

Find the speed of sound \( v \) in the air if both speakers emit a tone of frequency \( 700 \, \text{Hz} \).

#### Figure Explanation:

The figure displays the arrangement of the two loudspeakers and the listener. The following points describe the layout:

- **Two Loudspeakers**: The leftmost points represent the two loudspeakers which are initially \( d = 4.00 \) meters apart.
- **Listener**: The listener is depicted on the right side of the diagram.
- **Distances**:
- \( d/2 \): Half the distance between the loudspeakers.
- \( L \): The horizontal distance from the midway point between the speakers to the listener which is \( 5.00 \, \text{m} \).
- \( r \): The new position of one loudspeaker which is \( 60.0 \, \text{cm} \) away from its initial point directly to the left.
- **Path Difference**:
- \( r_1 \): The distance from one speaker to the listener.
- \( r_2 \): The distance from the moved speaker to the listener.

The figure is essential to understanding the path difference created by the movement of one of the speakers, leading to destructive interference at the listener's position.

### Calculation Steps:
1. **Constructive Interference Condition**:
Initially, with both speakers fixed, the path difference is zero at the listener's position, resulting in constructive interference.

2. **Destructive Interference Condition**:
When one speaker is moved \( r \), the path difference must be equal to half of the wavelength \( \lambda /2 \

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