Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. what is the wavelength of the interfering waves?

The wavelength of the interfering waves is 3.14 meters.

Explanation:

Given that,

The equation of standing wave that is formed by interfering two harmonic waves (travelling opposite direction) is given by :

........(1)

The general equation of standing wave is given by :

..............(2)

On comparing equation (1) and (2), we get :

k = 2

We know that,

So, the wavelength of the interfering wave is 3.14 meters. Hence, this is the required solution.      

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