Given the following situation Two in-phase loudspeakers, A and B, are separated by 3.20 m. A listener is stationed at C, which is 2.40 m in front of speaker B. Both speakers are playing identical 214-Hz tones, and the speed of sound is 343 m/s. Distance AB 3.20 m 90° 2.40 m Distance BC a) Does the listener hear a loud sound, or no sound? Justify your answer with the calculations - No justifications - no points b) Someone move the speakers closer. If the Distance AB changes to be 3.00 meters and the Distance BC reminds the same (2.40 meters), what will be the minimum frequency that will produce Constructive Interference? Justify your answer with the calculations - No justifications - no points

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Can I please have help with A and B in this problem? Thank you!
## Sound Interference and Loudspeakers: Problem Analysis

**Given the following situation:**
- Two in-phase loudspeakers, A and B, are separated by a distance of 3.20 m.
- A listener is stationed at point C, which is 2.40 m in front of speaker B.
- Both speakers are playing identical 214-Hz tones, with the speed of sound being 343 m/s.

**Diagram Explanation:**
The diagram illustrates the positions of the loudspeakers and listener:
- **Speakers A and B** are aligned horizontally with a separation of 3.20 m.
- **Point C** is directly in front of speaker B, 2.40 m away.
- The angle between the line connecting A to B and the perpendicular from B to C is 90°.

---

**Question a:**
Does the listener hear a loud sound, or no sound? Justify your answer with calculations. Remember, no justifications mean no points.

**Question b:**
If the speakers are moved closer, and the distance AB changes to 3.00 meters while the distance BC remains the same (2.40 m), what will be the minimum frequency that will produce Constructive Interference? Justify your answer with calculations. Remember, no justifications mean no points.
Transcribed Image Text:## Sound Interference and Loudspeakers: Problem Analysis **Given the following situation:** - Two in-phase loudspeakers, A and B, are separated by a distance of 3.20 m. - A listener is stationed at point C, which is 2.40 m in front of speaker B. - Both speakers are playing identical 214-Hz tones, with the speed of sound being 343 m/s. **Diagram Explanation:** The diagram illustrates the positions of the loudspeakers and listener: - **Speakers A and B** are aligned horizontally with a separation of 3.20 m. - **Point C** is directly in front of speaker B, 2.40 m away. - The angle between the line connecting A to B and the perpendicular from B to C is 90°. --- **Question a:** Does the listener hear a loud sound, or no sound? Justify your answer with calculations. Remember, no justifications mean no points. **Question b:** If the speakers are moved closer, and the distance AB changes to 3.00 meters while the distance BC remains the same (2.40 m), what will be the minimum frequency that will produce Constructive Interference? Justify your answer with calculations. Remember, no justifications mean no points.
Expert Solution
Step 1: Given information

Given that:

Physics homework question answer, step 1, image 1

Loud speakers are in phase. 

f=214 Hz

v=343 Hz

steps

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