Five colourful plastic tubes are distributed to the audience. Hitting these tubes against the hand produces a tone. A Physikant conducts the audience as an “orchestra”, playing “Ode to Joy”. After the enjoyable musical interlude comes a tough scientific question: What happens when you close the tube at one end? Does the tone become higher, lower or remain the same?
Answer: The tone becomes lower.
When the tube is open, the air vibrates like so:
There is a point in the middle where the air doesn’t move. The air effectively vibrates only for half the length of the tube.
Now when the tube is closed, the air vibrates like this:
The air now vibrates at effectively double the length of the tube. A wavelength of double the size means the frequency is halved, and with that the tone is twice as deep.