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The sound level from a musical instrumen...

The sound level from a musical instrument playing 50 dB . If three identical musical instruments are played together then compute the total intensity . The intensity of sound from each instrument is `10^(-12) W m^(-2)`

Text Solution

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`Delta L = 10 log _(10) |(I_(1))/(I_(0))| = 50` dB
`log_(10) |(I_(1))/(I_(0))| = 5` dB
`(I_(1))/(I_(0)) = 10^(5) implies I_(1) = 10^(5) I_(0) = 10^(5) xx 10^(-12) W m^(-2)`
`I_(1) = 10^(-7) W m^(-2)`
Since three musical instruments are played , therefore `I_("total") = 3 I_(1) = 3 xx 10^(-7) W m^(-2)`
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