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Question

For a point source of sound, the graph of intensity (I) versus square of distance from the source (r2) is best represented by

A
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B
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C
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D
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Solution

The correct option is D
Intensity is the energy per unit area per unit time.

I=EtA=E4πr2t=P4πr2



For constant power P,

I1r2

r2I= constant .....(1)

Equation (1) is similar to the equation of a hyperbola i.e.

xy=constant.

Hence, option (d) is correct as it represents the graph of hyperbola.

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