Two segments of a stretched string, AB and BC, have lengths 0.90m and 1.20m respectively and are joined at point B. The linear mass density is the same for both segments, and the tension in the string is 120N, giving a wave speed of 120ms−1. The joint B acts as a common point for stationary vibrations of the whole string AC.
(i) Determine the lowest (fundamental) frequency at which both segments can vibrate simultaneously with point B as a node.
(ii) For this frequency, list the positions of all nodes and antinodes along the entire length AC (measure distances from end A).
(iii) Draw a labelled sketch of the stationary wave pattern corresponding to this vibration, marking clearly the nodes, antinodes and their separations.