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Question

Two identical sound waves each of loudness β interfere constructively at a point to produce a sound level of

A
6β
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B
3β
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C
β+3
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D
β+6
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Solution

The correct option is D β+6
Let the intensity of sound wave from source be I'
Then the intensity of sound wave formed due to constructive interference =4I'

We know that L=10log10II0 where I0 is constant.
Thus, β=log10(II0)10
So, Required L=log10(4II0)10=β+6

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