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Consider ten identical sources of sound all giving the same frequency but having phase angles which are random. If the average intensity of each source is I0, the average of resultant intensity I due to all these ten sources will be

a
I=100 I0
b
I=10 I0
c
I=I0
d
I=10 I0

detailed solution

Correct option is B

In case of interference of two waves resultant intensity I=I1+I2+2I1I2cosφIf ϕ varies randomly  with time, so (cosφ)av=0⇒I=I1+I2For n identical waves, I=I0+I0+.......=n I0here I=10 I0.

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