In the figure, a sound of wavelength A is emitted isotropically by point source S. Sound ray 1 extends directly to detector D, at distance L. Sound ray 2 extends to D via a reflection (effectively a "bouncing") of the sound at a flat surface. The reflection occurs on a perpendicular bisector to the SD line, at distance d from the line. Assume that the reflection shifts the sound wave by 1/2 as discussed in the previous chapter. For what least value of d (other than zero) do the direct sound and the reflected sound arrive at D (a) exactly out of phase and (b) exactly in phase? Please state your answers in terms of the given variables. Ray 2 Ray 1

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In the figure, a sound of wavelength A is emitted isotropically by point source S. Sound ray 1 extends directly to detector D, at distance L. Sound ray 2 extends to D via
a reflection (effectively a "bouncing") of the sound at a flat surface. The reflection occurs on a perpendicular bisector to the SD line, at distance d from the line. Assume
that the reflection shifts the sound wave by 1/2 as discussed in the previous chapter. For what least value of d (other than zero) do the direct sound and the reflected
sound arrive at D (a) exactly out of phase and (b) exactly in phase? Please state your answers in terms of the given variables.
Ray 2
Ray 1
L
2
Transcribed Image Text:In the figure, a sound of wavelength A is emitted isotropically by point source S. Sound ray 1 extends directly to detector D, at distance L. Sound ray 2 extends to D via a reflection (effectively a "bouncing") of the sound at a flat surface. The reflection occurs on a perpendicular bisector to the SD line, at distance d from the line. Assume that the reflection shifts the sound wave by 1/2 as discussed in the previous chapter. For what least value of d (other than zero) do the direct sound and the reflected sound arrive at D (a) exactly out of phase and (b) exactly in phase? Please state your answers in terms of the given variables. Ray 2 Ray 1 L 2
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