Answer :

Given:
Frequency of source

Speed of sound in air




Let the man travel a distance of parallel to the y-axis and let be the distance between the two speakers. The man is standing at a distance of from the origin.



The path difference
between the two sound waves reaching the man is given by:



Angle made by man with the origin:



Capture.PNG


Given:


(a) For minimum intensity:
The destructive interference of sound (minimum intensity) takes place if the path difference is an odd integral multiple of half of the wavelength.



Capture.PNG


For (n=0)






(a) For maximum intensity:
The constructive interference of sound (maximum intensity) takes place if the path difference is an integral multiple of the wavelength.



For (n=1):






(c) The more number of maxima is given by the path difference:




He will hear two more maxima at and because the maximum value of may be.


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