Why Does Destructive Interference Occur at Different Frequencies?

AI Thread Summary
Destructive interference occurs when sound waves from two speakers reach a listener at different distances, causing cancellation. In this case, the listener is 0.6m farther from one speaker, which is significant for calculating the wavelength needed for interference. The correct wavelength is twice the distance difference, resulting in a wavelength of 1.2m, not 0.12m. Using the sound velocity of 343 m/s, the lowest frequency for destructive interference is calculated to be approximately 286.25 Hz. Careful attention to detail is crucial in these calculations, as small errors can lead to incorrect results.
vroman
Messages
9
Reaction score
0
Destructive Interference: Please Help!

Two loudspeakers are 2.36m apart. A person stands 2.8m from one speaker and 3.4m from the other. What is the lowest frequency at which destructive interference will occur at this point?

My answer is wrong, but this is what I did:
3.4m-2.8m=0.6m, so the person is .6m farther from one speaker than the other.
In order to sense destructive Interference, the person, must be one-half wavelength closer to or farther from one speaker than the other, the wavelength must be twice the distance difference. Therefore, Wavelength=0.12m
Using the equation Wavelength =velocity/frequency, I solved for frequency. (velocity of sound is 343 m/s).
My answer: 2858.33Hz

PLease help! Thanks!
 
Physics news on Phys.org
What's 2 times 0.6? :wink:
 
Haha, thanks! Those careless mistakes make such a difference!
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Olympiad question on destructive interference
Replies
3
Views
1K
Can you please check this (destructive interference).
Replies
8
Views
2K
Frequency at which no destructive interference occurs
Replies
7
Views
2K
Destructive interference and constructive interference
Replies
3
Views
3K
Destructive vs Constructive interference
Replies
2
Views
4K
Is there constructive or destructive interference?
Replies
20
Views
3K
Two Speaker Destructive Interference
Replies
1
Views
3K
Sound Wave Interference and Finding the Path Differences with Diagrams
Replies
20
Views
5K
Difference in Wave Phase Question
Replies
8
Views
3K
How do different path differences affect interference in sound waves?
Replies
7
Views
5K

Hot Threads

Recent Insights

Back
Top