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Q.

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

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a

I=100 I0

b

I=10 I0

c

I=10 I0

d

I=I0

answer is B.

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Detailed Solution

In case of interference of two waves resultant intensity 
I=I1+I2+2I1I2cosφ
If ϕ varies randomly  with time, so (cosφ)av=0
⇒I=I1+I2
For n identical waves, I=I0+I0+.......=n I0
here I=10 I0.

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