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Two identical sound waves each of loudness interfere construc

Question

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

6 β

3 β

β + 3

β + 6

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Two identical sound waves each of loudness

β

interfere constructively at a point to produce a sound level of

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Text solutionVerified

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=10log

_{10} \frac{I}{I _{0}}

where

I_{0}

is constant.

Thus,

β = l o g_{10} (\frac{I ^{'}}{I _{0}})^{10}

So, Required L=

l o g_{10} (\frac{4 I ^{'}}{I _{0}})^{10}

β + 6

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Question Text	Two identical sound waves each of loudness $β$ interfere constructively at a point to produce a sound level of
Answer Type	Text solution:1
Upvotes	150