Question

Wave A has an amplitude of 2, and wave B has an amplitude of 2. What will happen when the crest of wave A meets the trough of wave B?

Answer 1

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 :

`R=√(A^2+B^2+2AB cos\theta)`

Here
`\theta` is 180

`R=A-B`

or

`R=0`

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.