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rusak2 [61]
3 years ago
5

*15 points*

Physics
1 answer:
Svetradugi [14.3K]3 years ago
5 0
Same as the other person most likely would be 20 times louder as your answer
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One small speaker is placed 3m to the east of a second speaker, and a listener stands 4m directly south of one of the speakers.
alexandr402 [8]

Answer:

The value is \lambda  =  2 \  m

Explanation:

From the question we are told that

     The distance of the speaker  from the  second speaker  to the east is  d = 3 \  m

      The distance of the speaker  from the listener  to the south is     a = 4 \  m

Generally given that if the speaker move in any direction, their sound become  louder , it then mean that the position of the listener of minimum sound (i.e a position of minima ) ,

Generally the path difference of the sound produce by both speaker at a position of minima is mathematically represented as

              y =  \frac{\lambda}{2}

Generally considering the orientation  of the speakers and applying Pythagoras theorem we see that  distance from the second speaker to the listener  is mathematically represented as

             b =  \sqrt{d^ 2 + a^2 }

=>           b =  \sqrt{3^ 2 + 4^2 }

=>           b = 5

Generally the path difference between the two speaker with respect to the  listener is  

              y =  b - a

=>           y = 5 - 4

=>           y = 1

So  

              1 =  \frac{\lambda}{2}

=>           \lambda  =  2 \  m

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