The density of copper is 8.9x10^3kg/m^3 and the density of gold is 1.9x10^4kg/m^3. When two wires of equal length, one made from copper and the other from gold, are held under the same tension, the wave speed in the gold wire is found to be half that of the copper wire. What is the ratio of the diameters of the two wires?

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Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.