Halliday, Resnick & Walker — Waves–II: Problem 46

Pipe A, which is \(1.20\text{ m}\) long and open at both ends, oscillates at its third lowest harmonic frequency. It is filled with air for which the speed of sound is \(343\text{ m/s}\). Pipe B, which is closed at one end, oscillates at its second lowest harmonic frequency. This frequency of B happens to match the frequency of A. An \(x\) axis extends along the interior of B, with \(x = 0\) at the closed end. (a) How many nodes are along that axis? What are the (b) smallest and (c) second smallest value of \(x\) locating those nodes? (d) What is the fundamental frequency of B?