Respuesta :

Answer : The resultant amplitude is zero.

Explanation :

It is given that, Wave A has an amplitude of 2, and wave B has an amplitude of 2.

There can be two condition after interaction of the waves :

  • Constructive
  • Destructive

The resultant of two waves can be given by :

[tex]R=\sqrt{A^2+B^2+2AB cos\theta}[/tex]

Here [tex]\theta[/tex] is 180

[tex]R=A-B[/tex]

or

[tex]R=0[/tex]

So, when the crest of wave A meets the trough of wave B the resultant amplitude becomes zero i.e. the amplitudes of two waves are cancelling each other.

Hence, this is the required solution.