Answer:
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 :
[tex]y=3\ sin(2x)\ cos(5t)[/tex]........(1)
The general equation of standing wave is given by :
[tex]y=2A\ sin(kx)\ cos(\omega t)[/tex]..............(2)
On comparing equation (1) and (2), we get :
k = 2
We know that,
[tex]\dfrac{2\pi}{\lambda}=k[/tex]
[tex]\dfrac{2\pi}{\lambda}=2[/tex]
[tex]\lambda=3.14\ m[/tex]
So, the wavelength of the interfering wave is 3.14 meters. Hence, this is the required solution.
