Wavelengths for a standing wave on a string (13-18)

Question 1 of 2

Question

Length of a string held at both ends

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Review

Here $\lambda$ represents the wavelength of both the standing wave and also the original wave we created on the string. So according to Equation 13-18, a whole number $n$ of half-wavelengths must fit onto the string to generate the standing wave pattern described by Equation 13-16. Figure 13-14 shows the patterns for $n = 1$ (for which half of a wavelength fits), $n = 2$ (for which two half-wavelengths, or one full wavelength, fits), and $n = 3$ (for which three half-wavelengths, or one and a half full wavelengths, fits). Each of these patterns is called a $\textbf{standing wave mode}$ .