How Far Must a Sound Source Move to Create Silence Due to the Doppler Effect?

AI Thread Summary
To determine how far a sound source must move to create silence for an observer due to the Doppler Effect, the focus should be on achieving destructive interference between the two sound sources. The observer's hearing threshold does not necessarily need to be below 20 Hz, as it was not specified. Instead, the key is to calculate the distance required for the waves from the two sources to be out of phase by π radians. This approach will provide the necessary separation for silence to occur. Understanding wave interference is crucial in solving this problem effectively.
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Homework Statement


Two adjacent sources each emit frequency 800 hz in air (340 m/s). how far would source 1 have to be moved so an observer in front of the sources would hear no sound? .321 .213 .123 or .312.


Homework Equations


f' = f/(1+ vsource/vsnd)


The Attempt at a Solution



i tried to calculate wavelength so that the frequency is below 20 hz (human limit) and figure it out from there but I am stuck? please help, thank you
 
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The observer wasn't specified to be human...so we cannot assume that we would have to take it so that the frequency is below 20Hz. Rather, what you should do is find the distance of separation between the 2 sources so that the waves they emit destructively interfere (the waves are out of phase by pi).
 

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