What fraction of a wavelength of a standing wave pattern is between resonances in a closed end tube?

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

Here, is the required percentage, is the length of the tube and is the wavelength of the standing wave.

Substitute for into equation (1) o calculate the required percentage.