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149.

Problem 20.34 (RHK)

The reverberation time of an auditorium or concert hall is the time required for the sound intensity (in ) to decrease by a factor of . Suppose that in a particular concert hall, the reverberation time for a note of a certain frequency is 2.6 The reverberation time depends on the frequency of the sound. If the note is sounded at a sound level of 87 dB, how long will it take for the sound level to fall to 0 dB.

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The intensity of sound of 87 dB can be calculated from the definition of sound level, SL, which is defined by the formula

For SL = 87 dB, I will be

It is given that the intensity of sound of a particular frequency in a concert hall drops by a factor of in 2.6 s. If the intensity has to drop to SL of zero it means that the intensity should drop down to .

The time required for the sound level to drop down from 87dB to 0 can be estimated as follows:

The time required for the sound of 87 dB to 0 dB will therefore be