What is the Optimal Sound Frequency for Echoes Using a Single Slit?

AI Thread Summary
The discussion revolves around a physics homework problem involving sound frequencies and a single slit. The problem requires determining an effective sound frequency for echoes, given that the slit accommodates 3-6 wavelengths across its diameter and sound frequencies range from 20Hz to 20,000Hz. The speed of sound is provided as 340 m/s, and the relevant formula is c = fλ. Participants express confusion about the relationship between the single slit and the problem, particularly regarding the concept of accommodating wavelengths. Clarification on these concepts and guidance on how to approach the problem is sought.
athymy
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Homework Statement



Hey guys, I'm having a hard time understanding this whole waves chapter and my teacher just gave us a tricky problem...

So you have a single slit and it accommodates 3-6 wave lengths across its diameter. Assume that the sound created when echoing off objects may be between 20Hz to 20,000Hz. The question is to find an effective sound frequency to use as an echo. (we are using that c = 340 m/s)

I have no idea how the single slit is related to this problem, I thought that it was used to calculate the distance to the dark fringes. And what is meant by "accommodates 3-6 wave lengths"?

Homework Equations



The only frequency formula I know is c = fλ
We know that c = 340m/s

The Attempt at a Solution



Well I don't know the frequency nor the wavelength so I really have no clue what I'm supposed to do next. So if anyone could give me some tips or point me in the right direction I would really appreciate it.
 
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Does anyone have a clue on how to solve this problem because I'm totally lost...
 

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