When all of its holes are closed, a flute is essentially a tube that is open at both ends, with the length measured from the mouthpiece to the far end (as in Fig. 14.16b). If a hole is open, then the length of the tube is effectively measured from the mouthpiece to the hole.
(a) Is the position at the mouthpiece (1) a node, (2) an antinode, or (c) Neither a node nor an antinode? Why?
(b) If the lowest fundamental frequency on a flute is 262 Hz, what is the minimum length of the flute at 20 oC?
(c) If a note of frequency 440 Hz is to be played, which hole should be open? Express your answer as a distance from the hole to the mouthpiece.