A straight tube of length 0.85m is open at one end and closed at the other. The air in the tube is at 20∘C, for which the speed of sound may be taken to be 340ms−1. End corrections are negligible.
(1) Part 1: (a) Calculate the frequency of the fundamental resonance of the tube. Show all work and include appropriate units.
(2) Part 2: (b) Determine the frequency of the third resonant mode of the tube.
(3) Part 3: (c) The tube is now placed in front of a loudspeaker capable of producing pure tones of 200Hz, 300Hz, 400Hz, and 500Hz. Identify which of these frequencies will produce a strong resonance and justify your selections.