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148. Problem 20.33 (RHK) Two sources of sound are separated by a distance of
5.0 m. They both emit sound at the same amplitude and frequency, 300 Hz,
but they are
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out of
phase. We have to find points along the line connecting them where the sound
intensity will be the largest.|
Solution: Click For PDF Version The points where the two sound waves interfere constructively will be located symmetrically about the mid-point. We depict this with the following diagram:
Let the equations of wave propagation of waves emitted by sources A and B be
where
Resultant wave is obtained by the superposition of
As shown in the diagram if the distances
And
Condition for constructive interference will be
Wavelength of the sound waves is
The points along the line joining the two sources where the intensity will be a maximum are symmetrically located about the mid-point at
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is the
distance of a point measured from A and
is
a wave travelling from the left to the right, and
is
the distance of a point measured from B and
is a wave
travelling from the right to the left.
. It is
