1) Suppose we have an air column 80cm long with one open end and one closed end. (a) Find (i.e. derive) an expression for the resonant frequencies of the air column in terms of the length L of the air column, the speed of sound v, and the harmonic number n. Don't simply write the equation – show me how you obtain it by sketching several resonant standing waves.

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1) Suppose we have an air column 80cm long with one open end and one closed end.
(a) Find (i.e. derive) an expression for the resonant frequencies of the air column in
terms of the length L of the air column, the speed of sound v, and the harmonic
number n. Don't simply write the equation – show me how you obtain it by
sketching several resonant standing waves.
(b) What are the three lowest resonant frequencies in this air column (numerical values)?
Take the speed of sound in air to be 343 m/s.
Transcribed Image Text:ZOOM + 1) Suppose we have an air column 80cm long with one open end and one closed end. (a) Find (i.e. derive) an expression for the resonant frequencies of the air column in terms of the length L of the air column, the speed of sound v, and the harmonic number n. Don't simply write the equation – show me how you obtain it by sketching several resonant standing waves. (b) What are the three lowest resonant frequencies in this air column (numerical values)? Take the speed of sound in air to be 343 m/s.
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