Answer to Question #281906 in Physics for eyad allaban

Question

A standing wave is set up on a string of length L, fixed at both ends. If 6 nodes and 5 antinodes are observed when the wavelength is λ = 2.16 m, then the length of the string is:

Answer 1

We can find the length of the string as follows:

$$L=\dfrac{n}{2}\lambda,$$

here, $n$ is the number of antinodes.

Then, we get:

$$L=\dfrac{5}{2}\times2.16\ m=5.4\ m.$$