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ch17-p106 - 106(a Let P be the power output of the source...

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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 r in phase. If ω is the angular frequency and k is the angular wave number then the time dependence is sin( kr ω t ). Letting / 4 , b P C = π the displacement wave is then given by 1 ( , ) sin( ) sin( ). 4 P b s r t kr t kr t C r r = = π ω ω (b) Since s and r both have dimensions of length and the trigonometric function is dimensionless, the dimensions of b must be length squared. 106. (a) Let
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