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Constrcutive interference

  1. May 1, 2014 #1
    1. The problem statement, all variables and given/known data

    One speaker is located at the origin and the other is located at (x,y)=(0,3.00m). The speakers emit identical sound waves of wavelength 2.00m which are initially in phase. Where does constructive interference occur?

    ANS: x=1.50m

    3. The attempt at a solution

    Difference of the distance of the two speakers = λ = 2
    √(3^2 + d^2) - d = 2
    (3^2 + d^2) = (2 + d)^2
    9 + d^2 = 4 + 4d + d^2
    5 = 4d
    d = 1.25m

    What's wrong with my attempt, please?
     
  2. jcsd
  3. May 1, 2014 #2
    What is d ? It is difficult to follow what you have done.

    The difference of the distance to a point from the speakers for constructive interference is not necessarily λ .Yes ,it can . But it can also be 0 or any other integral multiple of λ .

    What is the locus of a point equidistant from two points ?
     
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