A 22-cm-long, 1.0-mm-diameter copper wire is joined smoothly to a 60-cm-long, 1.0-mm-diameter aluminum wire. The resulting wire is stretched with 20 N of tension between fixed supports 82 cm apart. The densities of copper and aluminum are 8920kg/m3 and 2700kg/m3, respectively.
Part A: What is the lowest-frequency standing wave for which there is a node at the junction between the two metals?
Part B: At that frequency, how many antinodes are on the aluminum wire?