Answer to Question #254812 in Physics for jay

Question #254812

The amplitude of a wave at a distance of 5.0 m from a small point source is 0.20 mm. What would be

the amplitude if the distance from the source is increased to 20 m?


1
Expert's answer
2021-10-24T18:23:52-0400

Given:

r1=5.0mr_1=5.0\:\rm m

r2=20mr_2=20\:\rm m

A1=0.20mmA_1=0.20\:\rm mm


The wave from a point source has spherical wavefront, so its amplitude is inversely proportional to the distance. Hence


A1A2=r2r1\frac{A_1}{A_2}=\frac{r_2}{r_1}

A2=A1r1r2=0.20mm5.0m20m=0.05mmA_2=A_1\frac{r_1}{r_2}=\rm0.20\: mm*\frac{5.0\: m}{20\: m}=0.05\: mm


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