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## Homework Statement

A 40-cm-long tube has a 40-cm-long insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. As the insert is slowly pulled out, the sound from the tuning fork creates standing waves in the tube when the total length L is 42.5 cm, 56.7 cm, and 70.9 cm.

## Homework Equations

The wavelength= 2L/m where m=1,2,3,4...

frequency: mv/2L where m=1,2,3,4

## The Attempt at a Solution

This is an open ended-opened tube. Since I know the values of L, I can find the wavelengths (but I still don't know m). The frequency of the tuning fork would not change, but I am confused about what to do next. How do I approach this question? Thank you for all the help.

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