A sign is hanging from a single metal wire, as shown in part (a) of the drawing.

Question:

A sign is hanging from a single metal wire, as shown in part
(a) of the drawing. The shop owner notices that the wire vibrates at a fundamental resonance frequency of 660 Hz, which irritates his customers. In an attempt to fix the problem, the shop owner cuts the wire in half and hangs the sign from the two halves, as shown in part
(b). Assuming the tension in the two wires to be the same, what is the new fundamental frequency of each wire?
(a)