Question

Two sound waves, originating from the same source, travel aong difeent paths in air and then meet at a point. If the source vibrates at a frequency of 1.0 kHz and one path is 83 cm longer than the other, what iwill be theture of iterference? The speed of soundin air is `ms^-1`.

Answer 1

Wavelength of sound wave is
`lambda=(upsilon)/(v)=(332)/(1xx10^(3))=5pi`
Phase difference between the waves arriving at point of observation is
`delta=(2pi)/(lambda)Deltax=(2pixx0.83)/(0.332)=5pi`
As, phase difference is an odd integral multiple of `pi`, the interference is destructive.