Question

A stereo speaker is placed between two observers who are 38 m apart, along the line connecting them. If one observer records an intensity level of 61 dB, and the other records an intensity level of 77 dB, how far is the speaker from each observer?

closer observer | m |

farther observer | m |

Step 1

Assume the closer observer is at distance r_{1} from the stereo speaker and the other observer is at distance r_{2}from the stereo speaker.The intensity of sound at a distance r_{1} from the stereo speaker is given by

Step 2

Take the difference in the sound levels for the two observes.

Step 3

Put the expressions of I1 and I2 in th...

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