Question

In a organ pipe, the frequency f of vibration of air is inversely proportional to the length L of the pipe. Suppose that the frequency of vibration in a 10-foot pipe is 54 vibrations per second. Express f as a function of L.

Answer 1

Step-by-step explanation:

After a discussion of the first three harmonics, a pattern can be recognized. Each harmonic results in an additional node and antinode, and an additional half of a wave within the string. If the number of waves in a string is known, then an equation relating the wavelength of the standing wave pattern to the length of the string can be algebraically derived.