If the tension in a wave-producing medium is increased, the wavelength of the wave will decrease. This relationship is described by the principle known as the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. As the tension increases, the wave speed also increases, but since the frequency remains constant, the wavelength must decrease in order to maintain this relationship.
If the tension in a medium (such as a string or a spring) is increased, the wavelength of the waves traveling through that medium remains the same. The wavelength is a characteristic of the wave itself and does not change with changes in tension. Instead, changes in tension can affect other properties of the wave, such as its frequency or speed.
