You are tuning an out of tune organ pipe to a tuned pipe of middle C (261.63 Hz). You hear a beat frequency of 2 beats/second. When you make the pipe a little longer, you notice that the beat frequency gets faster.
a) If these pipes are closed at the bottom and open at the top, roughly how tall are they?
b) Does the out of tune pipe have frequency that is too high or too low? Explain.
c) What is the frequency of the out of tune pipe?
d) By how much (in mm) do you have to change the out of tune pipe so that it is in tune?