- #1
Kristenx2
- 11
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Hi everyone, just me doing my regular Thursday Physics homework and looking for someone to check my work.
A tuning fork with a frequency of f=528Hz is placed near the top of a tube. The water level is lowered so that the length L slowly increases from an initial value of 20.0cm. Determine the next two values of L that correspond to resonant nodes. Assume the speed of sound in air is 343m/s.
I used v=fλ
First I did λ=343/528, which gave me λ=0.650m.
Since I know that resonance occurs when length is L/4, 3L/4, 5L/4, and so on, I did
0.650(1/4)=0.162m
0.650(3/4)=0.487m
And finally, I added those lengths to the initial 20m, making the next 2 values of L 20.162m and 20.487m.
This just seems a little too simple for a 10 point problem, and I would just appreciate if someone could tell me if I am missing an item or something. Thanks!
Homework Statement
A tuning fork with a frequency of f=528Hz is placed near the top of a tube. The water level is lowered so that the length L slowly increases from an initial value of 20.0cm. Determine the next two values of L that correspond to resonant nodes. Assume the speed of sound in air is 343m/s.
Homework Equations
I used v=fλ
The Attempt at a Solution
First I did λ=343/528, which gave me λ=0.650m.
Since I know that resonance occurs when length is L/4, 3L/4, 5L/4, and so on, I did
0.650(1/4)=0.162m
0.650(3/4)=0.487m
And finally, I added those lengths to the initial 20m, making the next 2 values of L 20.162m and 20.487m.
This just seems a little too simple for a 10 point problem, and I would just appreciate if someone could tell me if I am missing an item or something. Thanks!
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