# An omnidirectional loudspeaker produces sound waves uniformly in all directions. Sound intensity...

## Question:

An omnidirectional loudspeaker produces sound waves uniformly in all directions. Sound intensity of {eq}\displaystyle \rm 100 \ \frac{W}{m^2} {/eq} is measured {eq}\displaystyle \rm 1.0 \ m {/eq} from the speaker.

How far from the speaker will the sound intensity be measured to be {eq}\displaystyle \rm 1.0 \ \frac{W}{m^2} {/eq}?

## Sound.

In an open space, sound is transmitted unrestricted in all directions, but decreases in intensity as we move away from the source. If the effect of air over large distances is neglected, then the intensity of sound decreases as the negative square of the distance.

## Answer and Explanation: 1

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- {eq}I_1 {/eq} is the sound intensity at 1.0 meter from the speaker (100 W/m²)

- {eq}r_1 {/eq}...

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