One of the harmonics of a column of air in a tube that is open at one end and closed at the other has a frequency of 448 hz, and the next higher harmonic has a frequency of 576 hz. what is the fundamental frequency of the air column in this tube?

The general formula for the frequency of the nth-harmonic of the column of air in the tube is given by

where f1 is the fundamental frequency.

In our problem, we have two harmonics, one of order n and the other one of order (n+1) (because it is the next higher harmonic), so their frequencies are


so their  difference is


So, the difference between the frequencies of the two harmonics is just the fundamental frequency of the column of air in the tube, which is:

The answer is a.  i hope this