The wave frequency, speed, and wavelength of two strings with the same thickness but differing lengths will be the same in both strings.
A string will vibrate at a varied frequency depending on its length. Higher frequency and higher pitch are produced by shorter strings. The frequency and wavelength are inversely proportional. Shorter frequency corresponds to a longer wavelength. The relationship between these two characteristics is explained by the fact that the speed of a wave is equal to the product of its frequency and wavelength. A wave's speed increases with increased string tension, which raises its frequency (for a given length). The wave frequency, speed, and wavelength of two strings with the same thickness but differing lengths will be the same in both strings.
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