The intensity of sound from a radio at a dist | vedclass

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Question

(C) The intensity of a spherical sound wave is inversely proportional to the square of the distance from the source: $I \propto \frac{1}{r^2}$.Given:

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$4 	imes 10^{-4} \ \mu W/m^2$

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(C) The intensity of a spherical sound wave is inversely proportional to the square of the distance from the source: $I \propto \frac{1}{r^2}$.Given: $I_1 = 1 	imes 10^{-2} \ \mu W/m^2$ at $r_1 = 2 \ m$.We need to find $I_2$ at $r_2 = 10 \ m$.Using the relation $\frac{I_2}{I_1} = \frac{r_1^2}{r_2^2}$:$\frac{I_2}{1 	imes 10^{-2}} = \frac{2^2}{10^2} = \frac{4}{100} = 0.04$.Therefore,$I_2 = 0.04 	imes 10^{-2} \ \mu W/m^2 = 4 	imes 10^{-4} \ \mu W/m^2$.

The intensity of sound from a radio at a distance of $2 \ m$ from its speaker is $1 \times 10^{-2} \ \mu W/m^2$. The intensity at a distance of $10 \ m$ would be:

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