Using this website: https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html

Click (in the top left) from manual to oscillate. Use the following settings.

a. Amplitude 0.10cm, frequency 0.42hz, damping "None", tension "High", right end "fixed".Hit restart.

i. What is the wavelength of your wave? (NOTE. The wavelength would be the length that includes BOTH a crest and a trough - although technically we call them antinodes on a standing wave.) Hit pause at some point, it might make finding the wavelength easier.

ii. What happens to the size of the wave as time goes on (say 20 oscillations)?

iii. What is the speed of your wave using the above equation (wavelength x frequency = velocity) ? (unfortunately, you will have to convert from cm to meters first...)

b. Now try: amplitude 0.1, frequency 0.63, damping none, tension high.

i. What happens as you watch it? Is this different from what happened in 6.a.? How?

i. If we doubled the frequency (from 6.a., i.e. 0.84), what happens to the wavelength?

(NOTE. The wavelength would be the length that includes BOTH a crest and a trough. This wave does. Although the length of the string is the same as 6.a., the WAVELENGTH is different).

ii.Calculate the speed of the wave?

iii. There is a node (at about the middle green ball). What kind of interference occurs at a node so that it does not move?

c. What other frequencies give us standing waves? Make some hypotheses (frequencies close to frequencies that produce standing waves will also produce standing waves OR even numbers make standing waves odd number don't, etc.), then test them, then write down ones that work (by work, they must get to a stable standing wave) and ones that don't (such as ones that never get stable, or build up and then die out very quickly, etc.) and other observations. It is usually best to let them go for about 20 vibrations before passing judgement, and always remember to "restart" in between. Explain your reasoning.

What is the pattern for predicting standing waves if you know the fundamental frequency?