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Sound from coherent sources S(1) and S(2...

Sound from coherent sources `S_(1) and S_(2)` are sent in phase and detected at point `P` equidistant from both the sources . Speed of sound in normal air in `V_(0)`, but in some part in path `S_(1)` , there is a zone of hot air having temperature ` 4 times` , the normal temperature , and width `d`. What should be minimum frequency of sound , so that minima can be found at `P`?

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