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# Unless indicated otherwise, assume the speed of | Ch 16 - 20E

ISBN: 9780321675460 31

## Solution for problem 20E Chapter 16

University Physics | 13th Edition

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Problem 20E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. The intensity due to a number of independent sound sources is the sum of the individual intensities. (a) When four quadruplets cry simultaneously, how many decibels greater is the sound intensity level than when a single one cries? (b) To increase the sound intensity level again by the same number of decibels as in part (a), how many more crying babies are required?

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Solution 20E (a).The sound level intensity as function of intensity of source is given as = 10 dB log (I/I )0 Where I = intensity of source I = intensity of sound(10 12W/m )2 0 Sound intensity level of sound if four quadruplets cry simultaneously = 10 dB log (I /I ) 0 = 10 dB log (4I/I )0 From above two equation calculate difference in sound intensity level - = 10 dB log( I /I)0 10 dB log( I/I ) 0 = 10 dB log (4I/I )010 dB log( I/I ) 0 =10 dB log(4 I/I I/I ) 0 0 = 10 dB log(4 ) =6.02...

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