How many minimum no of sound sources of 80db loudness need to constructively interfere to produce a loudness of at least 120db?

Question

Riddhish Bhalodia · Answer

During constructive interference of two equal amplitude waves(A each) the total amplitude doubles. Hence as $I \propto A^2$ implies intensity increases by 4 times.
Say n waves are required, following the above logic the $I_{new} = n^2I$ .
Thus
80db = klog(I)
120db = klog(n²I)

we know k and hence we can solve for n

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How many minimum no of sound sources of 80db loudness need to constructively interfere to produce a loudness of at least 120db?

How many minimum no of sound sources of 80db loudness need to constructively interfere to produce a loudness of at least 120db?

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