Question

Use the data that you have for the air-filled tube

1.Make a drawing of the standing wave in the tube when you have two, three, and four nodes or peaks. These will correspond to the first, second, and third overtones.

2. For each standing wave, label the nodes and the antinodes.

3. Label and record the distance in meters of the half wavelength (λ/2) for each standing wave.

4.Explain how the standing wave occurs in depth.

So far I have drawn the standing waves as shown above, however im having difficulty with part 3 (Label and record the distance in meters of the half wavelength (λ/2) for each standing wave.) and the part 3 with (explaining how the standing wave occurs

Answer 1

here is my data

Answer 2

here is my drawing so far

Answer 3

@Vocaloid @justjm

Answer 4

1. Looks good
2. Did you label the nodes and antinodes?
3. I'm not sure either, perhaps they are asking you to draw like this?



4. Standing waves are waves that do not propagate because there are two oppositely traveling waves with the same frequency and amplitude, but by the Law of Superposition, they seem not to propagate but rather move up and down along nodes.

Answer 5

@DuarteME

Answer 6

Regarding 4, I think @justjm gave you a nice description of what happens. The two waves interfere in a way such that their sum has fixed nodes and oscillates up and down.
About 3, I don't know what they when they ask you to "record the distance". However, half the wavelength \(\lambda/2\) is merely the distance between two consecutive nodes, so I guess that's the only thing you need to label.