Two sound waves, originating from the same sound source travel along different paths in air and then meet at a point. The speed of the sound is 330 m/s. If the source vibrates at a frequency of 500 hz and one path is 33 cm longer than the other, then the nature of interference is - a skipped destructive b constructive c neither destructive nor constructive d nothing can be predicted
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Answer:
The wavelength is given as
λ = v / f
here,
v = velocity of wave = 332 m/s
f = frequency of wave = 103 Hz
so,
λ = 332 / 103
thus,
λ = 0.332 m
and
The phase difference between the two waves meeting at same point will be
δ = (2π/λ).dx
here
dx = path difference = 83 cm = 0.83 m
so,
δ = (2π / 0.332) x 0.83
thus,
δ = 5π
which is of the form
δ = (2n+1)λ.dx
and shows destructive interference.
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