The displacement amplitude is proportional to the reciprocal of the distance from the source. We take the wave to be sinusoidal. It travels radially outward from the source, with points on a sphere of radius rin phase. If ωis the angular frequency and kis the angular wave number then the time dependence is sin(kr– ωt). Letting / 4,bPC=πthe displacement wave is then given by 1( , )sin()sin().4Pbs r tkrtkrtC rr=−=−πωω(b) Since sand rboth have dimensions of length and the trigonometric function is dimensionless, the dimensions of bmust be length squared. 106. (a) Let
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