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An observer experiences a sound wave intensity 9.00×10-5 W⋅m−2W⋅m−2 at a distance 5.22 m from a...

An observer experiences a sound wave intensity 9.00×10-5 W⋅m−2W⋅m−2 at a distance 5.22 m from a source which emits wave in all direction. What is power of the source?

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Answer #1

The intensity (I) of a wave is defined as the ratio of the power (P) to the area perpendicular to the direction of energy flow that the energy passes through.

So, in above case the source emits wave in all directions (so, it is a spherical wave) , so the energy it carries spread over a larger area. And since it is a spherical wave its area (A) is 4*pi*r2. So,

here, r = distance of observer from source = 5.22 m

On solving,

Power (P) = 30.82 mW

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