Thanks again!-Luis Constructive and Destructive Interference at Point Q

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Homework Help Overview

The problem involves two loudspeakers emitting sound waves in phase, with a focus on the conditions for constructive and destructive interference at a specific point Q. The speakers are positioned with a known distance between them, and the task is to determine the lowest frequencies for both types of interference.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are discussing the path lengths from each speaker to point Q and how these relate to wavelengths. Questions about the conditions necessary for constructive and destructive interference have been raised, along with the need for additional information to solve the problem.

Discussion Status

The discussion is ongoing, with some participants seeking clarification on the information needed to analyze the problem. There is an acknowledgment of the expectation to derive certain details from the provided information, indicating a productive direction in the conversation.

Contextual Notes

Participants note that specific information regarding the path lengths and the relationship to wavelengths is not provided, which is a point of confusion. There is an emphasis on understanding the conditions for interference based on the setup described.

Luis2101
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Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speakers emit sound waves that travel directly from the speaker to point Q.

yf_Figure_16_41.jpg


A)What is the lowest frequency for which constructive interference occurs at point Q?

B)What is the lowest frequency for which destructive interference occurs at point Q?


------
Grr... my professor flew through this section in our lecture so I'm pretty lost and have this problem due. Basically all I know so far is that if the amplitude is 2yo or phi is n(2pi) the wave is constructive... But I've no idea where to go from there.


Really, any help would be greatly appreciated.

-Luis
 
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Luis2101 said:
Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speakers emit sound waves that travel directly from the speaker to point Q.

yf_Figure_16_41.jpg


A)What is the lowest frequency for which constructive interference occurs at point Q?

B)What is the lowest frequency for which destructive interference occurs at point Q?------
Grr... my professor flew through this section in our lecture so I'm pretty lost and have this problem due. Basically all I know so far is that if the amplitude is 2yo or phi is n(2pi) the wave is constructive... But I've no idea where to go from there.Really, any help would be greatly appreciated.

-Luis
What is the path length from each speaker to the observer? What is that in terms of full wavelengths of the sound? What is the condition for that path difference to produce constructive and destructive interference?

AM
 
Last edited:
I've no idea, none of that information was provided...
Did you look at the picture?
 
I've no idea, none of that information was provided...
Did you look at the picture?
That's because you are expected to figure it out from the information that is provided.
 
Ahh... I'm sorry AM, I see what you're saying now.

I'll work on it a bit.
 

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