Wave speed on a string depends only on tension and density, not frequency

Evidence

We have found that the speed of waves on the string is given in terms of the tension and the mass density as c = (T/ρ)1/2, independent of the mode number, and therefore is independent of the wavelength and frequency, just as with sound in air. — Eric J. Heller, Why You Hear What You Hear- An…, 823

Categorization

• DEFINE: The formula c = (T/ρ)^1/2 is the load-bearing definition for string wave speed.