- #1
sbayla31
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Homework Statement
Is it possible for a flute (tube open at both ends) 72 cm long and an oboe (tube open at one end) 64.8 cm long to produce the same note? Prove your answer.
Homework Equations
v=f[tex]\lambda[/tex]
L=(n/2)[tex]\lambda[/tex] (tube open at both ends)
L=((2n-1)/4)[tex]\lambda[/tex] (tube open at one end)
The Attempt at a Solution
I can sub the lengths into the latter two equations:
0.72m =(n/2)[tex]\lambda[/tex]
0.648m =((2n-1)/4)[tex]\lambda[/tex]
I know how to isolate [tex]\lambda[/tex] and then sub in v/f for [tex]\lambda[/tex] to find the frequency (the note).
I don't know what to do next
I know I could use a guess and check method, but I would prefer doing it mathematically.
Also, how do I find out what the resonant length is (n)?