Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The air column of a flute acts as a pipe long, open at both ends. Sound travels at . Find its first three natural frequencies.
In a pipe, a closed end is a displacement node and an open end a displacement antinode. Closed at one end: , odd harmonics only. Open at both ends: , every harmonic.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, compare your working with the solution.
. An open pipe has every harmonic, so the next two are and .
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