A stretched string is fixed rigidly at both ends and set into transverse vibration.
(i) Define the terms node and antinode as used in the description of standing waves on the string.
(ii) Sketch the simplest standing-wave pattern that contains three antinodes on the string. Mark clearly every node and antinode on your sketch.
(iii) Explain qualitatively, without performing a full mathematical derivation, why only certain discrete wavelengths can be sustained on such a string. State the general relation between the length of the string and these allowed wavelengths.