- #1

sbayla31

- 9

- 0

## 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)?