Question

Wave A has an amplitude of 3, and wave B has an amplitude of 3. What will happen when the trough of wave A meets the trough of wave B?

Answer 1

The answer is: They will interfere to create a trough with an amplitude of 6. 

Answer 2

`A_r=6.`

Step-by-step explanation:

It is given that both wave have same amplitude i.e
`A=3.`

Now, we need to find what will happen to the waves when trough of wave A meets the trough of wave B.

It means that both waves are in same phase i.e, the phase difference between them is 0 degree.

We know resultant amplitude
`A_r` of two waves of same amplitude A with phase difference
`\theta` is given by.

`A_r=2* A * cos(\theta)/(2).`

In this case , A=3 and
`\theta=0^o.`

Putting value of A and
`\theta` in above equation.

We get,
`A_r=6.`

Therefore, a new wave will form of resultant amplitude of 6.

Hence, it is the required solution.