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

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