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Energy density E (energy per unit volume) of the medium at a distance r from a sound source varies according to the curve shown in figure. Which of the following are possible?

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The source may be a point isotropic source.

If the source is a plane source then the medium particles have damped oscillations.

If the source is a plane source then power of source is decreasing with time

Density of the medium decreases with distance r from the source

answer is A, B, D.

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Detailed Solution

Energy density $E = \frac{int e nsity}{v e l o c i t y}$

$\begin{array}{l} E = \frac{I}{V} \\ ∴ I = \frac{p o w e r}{A r e a} = \frac{p}{4 π r^{2}} \end{array}$

$I \infty \frac{1}{r^{2}}$

If the source is a plane source, the energy density should decreases linearly with distance. $E \infty \frac{1}{r}$

$int e n s i t y I = 2 π^{2} n^{2} a^{2} ρ V$

$I α ρ$

as I decreases with distance then $ρ$ also decrease with distance.

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