A 10 W point source emits sound waves isotropically. Assuming that the energy of the waves is conserved, find the intensity (a) 10 m from the source and (b) 2.5 m from the source.

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Brooklyn Mcintyre · Accepted Answer

The point source is 1 W.The point at 1m from the source (part a).The point at 2.5 m from the source (part b).Part a:The intensity at distance L from an isotropic point source is given by  I  =            P              s                    4      π              L                  2                    Substitute the givens  I  =            1      W              4      π      ×      (      1      m              )                  2                      =  8  ×      10          −      2        W      /        m          2        I  =  8  ×      10          −      2        W      /        m          2      Part b:Substitute the givens  I  =            1      W              4      π      ×      (      2.5      m              )                  2                      =  1.27  ×      10          −      2        W      /        m          2        I  =  1.27  ×      10          −      2        W      /        m          2      Result:(a)   I  =  8  ×      10          −      2        W      /        m          2      (b)   I  =  1.27  ×      10          −      2        W      /        m          2

A 10 W point source emits sound waves isotropically. Assuming that the energy of the waves is conserved, find the intensity (a) 10 m from the source and (b) 2.5 m from the source.

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