interference wave...have solution need explanation

by Puchinita5
Tags: explanation, interference, solution, wavehave
 P: 162 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 http://edugen.wiley.com/edugen/cours...pict_17_34.gif 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???
 Emeritus Sci Advisor PF Gold P: 9,789 HINT: A minimum means that destructive interference has occured ...

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