Two waves are smultaneously passing through a string. The equation of the waves are given by
`y_1=A_1sink(x-vt)`
and `y_2=A_2sink(x=vt+x_0)`
where the wave number `k=6.28 cm^-1 and x_0=o1.50c. The ampitudes of `A_1=5.0mm and A_2=4.0mm. find the phase difference between the waves and the amplitude of the resulting wave.

Explanation

The phase of the first wave is `k(x-vt)` and of the second is `k(x-vt+x_0)`
The phase difference is therefore,
`delta=k x_0=(6.28cm^-1)(1.50cm)=2pixx1.5=3pi`
The waves satisfy the condition of destructive interference. The amplitude of the resulting wave is given by
`|A_1-A_2|=5.0mm-4.0mm=1.0mm`.