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:

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.

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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