Question

The length of a string tied to two rigid support is L. Write the value of the
maximum wavelength of stationary waves that can be produced in it.


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Answer 1

answer : $2L$

explanation : actually, stationary wave is the combination of two waves moving in opposite directions, each having the same amplitude and frequency.

when a string of length L is tied to two rigid support. and now after vibrating the string in middle , it vibrates with nodes at end and anti node in middle as shown in figure.

$\frac{\lambda}{2}=\textbf{length of string}$

or, $\lambda=2L$

hence, maximum wavelength of stationary waves that can be produced it is 2L.