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Intensity vs distance. What can you conclude of the Intensity vs distance graph? According to I...

Intensity vs distance.

What can you conclude of the Intensity vs distance graph?

According to I vs 1/d2 what is the meaning physically of the slope?

What is there difference between to graph Intesity vs 1/d2 and Intensity vs distance?

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Answer #1

To understand the distance dependence, surround the source by a sphere of radius r. All the sound, emitted by the source with power P, passes through the sphere. When the sound reaches the sphere its intensity is:

I = P/(4\pid2)

That's the surface area of a sphere in the denominator.

Double the distance and the intensity drops by a factor of 4, etc.

The slope clearly is the constant P in the above equation which is nothing but the power of the emitting source.

The graph for Intesity vs 1/d2 is a straight line whereas the graph for Intensity vs distance is a parabola.

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