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

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Two loudspeakers, A and B, emit in-phase sinusoidal waves, with speaker B positioned 2.00 m to the right of speaker A, and point Q located 1.00 m to the right of speaker B. The discussion focuses on determining the lowest frequencies for constructive and destructive interference at point Q. Participants emphasize the importance of understanding path length differences and their relation to wavelengths for interference conditions. The initial confusion stems from a lack of clarity in the lecture, prompting requests for guidance on the problem. Ultimately, the conversation highlights the need to analyze the provided information to solve the interference problem effectively.
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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
 
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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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