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Two speakers that are 16.0m apart produce sound waves of frequency 270Hz in a room where...

Two speakers that are 16.0m apart produce sound waves of frequency 270Hz in a room where the speed of sound is 340m/s . A woman starts out at the midpoint between the two speakers. The room

Solutions

Expert Solution

A)

two speakers are out of phase so that distructive interference occures

B)

interference is a phenomenon in which two waves superpose to form a resultant wave of greater or loweramplitude. Interference usually refers to the interaction of waves that are correlated or coherent with each other, either because they come from the same source or because they have the same or nearly the same frequency.

we add these two waves together, point-by-point, we end up with a new wave that looks pretty much like the original waves but its amplitude is larger. This situation, where the resultant wave is bigger than either of the two original, is called constructive interference.

we add these waves together? When the first wave is up, the second wave is down and the two add to zero. When the first wave is down and the second is up, they again add to zero. In fact, at all points the two waves exactly cancel each other out and there is no wave left! This is the single most amazing aspect of waves. The sum of two waves can be less than either wave, alone, and can even be zero. This is called destructive interference.

C) ? = 340 / 270= 1.259 m


If the waves are ?/2 out of step they will produce a minimum

So she must walk towards one speaker so that the path difference of the waves reaching her one ear is 0.629 m ( ?/2)
D)
Likewise to hear a loud noise the waves must be a full wavelength out of phase. Which means she must move ?/2 = 0.629 m

genius_generous answered 6 months ago
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