Question

What is the wavelength of the wave if the length of the string is 10 meters?

Answer 1

Given that there is a string of length, L= 10m, and the number of nodes n= 5.

We have to find the wavelength.

As it has 5 nodes it is 5th harmonic,

So, the formula to find the wavelength of the 5th harmonic is

`L=(n)/(2)\lambda`

Substituting the values, we get

`\begin{gathered} \lambda=(2L)/(n) \\ =(2*10)/(5) \\ =4\text{ m} \end{gathered}`

Thus, the wavelength of the wave is 4 m