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?

Question

asked Jul 27, 2017 174k views

2 Answers

Stas Makarov · Answer 1 · 2017-08-01T18:05:24+0000

Answer:

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.