Question 19 of 191
Two coherent sources of sound, and produce sound waves of the same wavelength are in phase. and are placed apart (see fig). A listener, located at , directly in front of , finds that the intensity is at a minimum when he is away from . The listener moves away from , keeping the distance from fixed. The adjacent maximum of intensity is observed when the listener is at a distance from . Then is :

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Answer: (B)
Given,
Two sources od same wavelength,
Distance between two sources,
Distance of listener from the source ,
Condition for minimum intensity, at is
Path difference,
Now, the path difference between the rays is so that the adjacent maxima is obtained,
The path difference between adjacent maxima and minima is , form equation (1) and (2) we get,
Two sources od same wavelength,
Distance between two sources,
Distance of listener from the source ,
Condition for minimum intensity, at is
Path difference,
Now, the path difference between the rays is so that the adjacent maxima is obtained,
The path difference between adjacent maxima and minima is , form equation (1) and (2) we get,