Destructive Interference Question

In summary, a student conducted an experiment at Best Buy with speakers placed 4.0 m apart and a signal generator producing a consistent tone. The student noticed a quiet spot at a point 2.0 m from one speaker and 2.3 m from the other. With a known speed of sound in the room (350 m/s), the possible frequencies played by the speakers can be calculated using the equation v=f*lambda. The condition for destructive interference is when waves cancel each other out, resulting in a quiet spot.
  • #1
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1. Homework Statement

A student enters Best Buy prepared to buy a pair of speakers. Before he does so, he conducts an experiment with them. He places the speakers 4.0 m apart and connects a signal generator to both speakers that produces a single and consistent tone. (constant wavelength and frequency) He then walks to a point that is 2.0 m from one speaker and 2.3 m from the other. At that point he notices a quiet “spot”. If the speed of the sound in the room is known to be 350 m/s, calculate the possible frequencies being played by the speakers.

2. Homework Equations



3. The Attempt at a Solution

I don't even know where to begin. I don't even know how to go from speed to frequency. Thanks for any and all help
 
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  • #2
What's the condition for destructive interference?

For a wave, speed, frequency, and wavelength are related by v=f*lambda.
 

Related to Destructive Interference Question

What is destructive interference?

Destructive interference occurs when two waves with opposite phases meet and their amplitudes cancel each other out, resulting in a decrease in overall amplitude.

How does destructive interference differ from constructive interference?

Destructive interference differs from constructive interference in that constructive interference results in an increase in overall amplitude, while destructive interference results in a decrease in overall amplitude.

What causes destructive interference?

Destructive interference is caused by the superposition of two waves with opposite phases, meaning the crests of one wave align with the troughs of the other wave.

What are some real-life examples of destructive interference?

One example of destructive interference is the noise-cancelling technology used in headphones, where sound waves from outside the headphones cancel out the sound waves produced by the headphones. Another example is when two identical sound waves from two radio stations cancel each other out, resulting in silence.

Can destructive interference be beneficial?

Yes, destructive interference can be beneficial in some situations. It is used in noise-cancelling technology, as mentioned earlier, to reduce unwanted noise. It is also used in certain types of microscopy to improve image contrast and resolution.

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