A vibrating stretched string has nodes or fixed points at each end. The string will vibrate in its fundamental frequency with just one anti node in the middle - this gives half a wave.
[tex]l=\frac{\lambda }{2}[/tex]
Rearranging for the wavelength
[tex]\lambda=2l[/tex]
[tex]\lambda =2(7)[/tex]
[tex]\lambda = 14m[/tex]
Therefore the longest wavelength standing wave that it can support is 14m
The longest wavelength, a string can support is 14m.
The wavelength of a wave is defined as the distance in the line of advance of a wave from any one point to the next point of the corresponding phase.
Given that length of the string is 7 m and it is clamped at both ends. It means that the string has fixed points at both ends. Thus the fundamental frequency of the string gives a half-wave. Thus the wavelength of the string can be given as,
[tex]l = \dfrac {\lambda}{2}[/tex]
[tex]\lambda = 2l[/tex]
[tex]\lambda = 2\times 7[/tex]
[tex]\lambda = 14\;\rm m[/tex]
Hence we can conclude that the longest wavelength, a string can support is 14m.
To know more about the wavelength, follow the link given below.
https://brainly.com/question/7143261.
