Answer:
[tex]25\%[/tex] of the wavelength is between resonances in a closed end tube.
Explanation:
In an one end closed tube, the fundamental resonance occurs when a node is created at the closed end and an antinode is created in the open end.
Thus, for fundamental resonance, the entire length of the tube encloses one-fourth of the wavelength of the standing wave.
The formula to calculate the percentage of the wavelength in a closed end tube is given by
[tex]f=\frac{L}{\lambda}\times100\%........................(1)[/tex]
Here, [tex]f[/tex] is the required percentage, [tex]L[/tex] is the length of the tube and [tex]\lambda[/tex] is the wavelength of the standing wave.
Substitute [tex]\frac{\lambda}{4}[/tex] for [tex]L[/tex] into equation (1) o calculate the required percentage.
[tex]f=\dfrac{\frac{\lambda}{4}}{\lambda}\times100\%\\~~~=25\%[/tex]