Question

Two sound waves are traveling through the same medium. They have the same amplitude, wavelength, and direction of travel. If the phase difference between them is 6π, what type of interference do they exhibit? Why is that the case?

Answer 1

Constructive interference

Step-by-step explanation:

Here, the medium is same, same wavelength, same frequency, same amplitude and same direction of propagation.

Let the intensity of waves be I which is same for both

The formula for the net intensity is

`I^(2)=I_(1)^(2)+I_(2)^(2)+2I_(1)I_(2)Cos\phi`

where, Ф be the phase difference

So,
`I_(R)^(2)=I^(2)+I^(2)+2IICos6\pi`

Here, IR is maximum so the interference is constructive in nature.