The wavelength of stationary waves formed on a vibrating string depends on the length of the string and the number of loops (also known as nodes) formed by the vibrating string.
In general, the wavelength (λ) of a stationary wave on a string is given by the formula:
λ = 2L/n
where L is the length of the string and n is the number of loops.
Let's consider an example: If a string of length L vibrates and forms 3 loops (n = 3), then the wavelength of the stationary wave on that string would be:
λ = 2L/n = 2L/3
So, the wavelength would be two-thirds (2/3) of the string length.