Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A large organ has a pipe long, closed at the top. Sound travels at .
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, go through the solution one step at a time, and check each step against your own.
(a) .
(b) The modes are , , and so on, up to . That is frequencies.
(c) , twice as high.
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