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Question

Two stereo speakers are separated by a distance of 2.4 m. A person stands at a distance of 3.2 m as shown directly in front of one of the speakers. Find the frequencies in audible range for which the listener will hear a minimum sound intensity :
Speed of the sound in air is 320ms1
140389_fc941b0914aa46c1ac2a9b18e2428352.jpg

A
160(2n+1)
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B
320(2n+1)
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C
200(2n+1)
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D
100(2n+1)
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Solution

The correct option is C 200(2n+1)
3.22+2.42=4m
path difference = 0.8m=(2n+1)λ2

λ=1.6(2n+1) using f=vλ=3201.6(2n+1).
=200(2n+1)Hz.
n=1,2,3,.....49 are allowed

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