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Interference wave have solution need explanation

  1. Jul 31, 2009 #1
    1. The problem statement, all variables and given/known data
    In Fig. 17-35, sound with a 46.4 cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a half-circle. Part of the sound wave travels through the half-circle and then rejoins the rest of the wave, which goes directly through the straight portion. This rejoining results in interference. What is the smallest radius r (cm) that results in an intensity minimum at the detector? (Take the speed of sound to be 343 m/s.)

    2. Relevant equations

    3. The attempt at a solution

    i have the solution...what i don't understand is WHY the path length difference equals 23.2??? don't see how or why it's half the wavelength???
  2. jcsd
  3. Jul 31, 2009 #2


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    HINT: A minimum means that destructive interference has occured ...
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