Open ended physics problem that I would greatly appreciate help on

[greent]

Homework Statement

Waves and its fundamental mode

Relevant Equations

v = lamda f

I have zero idea where to start, but in attempting to work out the problem for part a I know I need to use v = lamda f. Please help and explain. I am willing to try something with some hints and I am not outright looking for the answer.

 

[Charles Link]

Try reading https://en.wikipedia.org/wiki/Standing_wave
This may be mathematically above your present level, but it's a good place to start. And in the future, please fill out the homework template in the homework section. This time hopefully the moderators let your post stay, but that is a Physics Forums rule for the homework section.

 

[greent]

Sorry I just joined today so I am a complete beginner. I will read that and see if it gets me anywhere.

 

[greent]

This is what I got on my first try. I’m pretty sure it’s correct it just took a while for my dumb brain to actually work lol

 

[Charles Link]

Looks pretty good to me, but what happened to the $n=2$ resonance with $L=2 L_o$ ?

 

[greent]

Looks pretty good to me, but what happened to the $n=2$ resonance with $L=2 L_o$ ?

I assumed it would start with n = 1 because that makes the most sense, but for part c I didn’t know if I would multiply by 3 or 2. Since n starts at 1 and it is closed that would mean you are using Fn = nv/4L which has n = 1, 3, 5, 7...

 

[Charles Link]

This one you actually have a better handle on than I do. I do not have the acoustic resonance equations at my fingertips, and I don't have a physics book handy that contains them. I would need to google the topic, but I will take your word for it that you got it right. I welcome anyone else to look over your work.
@haruspex Perhaps you might find this problem of interest.

 

[haruspex]

for part c I didn’t know if I would multiply by 3 or 2.

Your choice of 3 is correct.

 

[greent]

Your choice of 3 is correct.

Yayy! Thanks for all the help guys. I will be posting correctly from now on. I wasn’t thinking straight when starting this problem so I looked at khan academy for a little bit and got some ideas.