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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