Doubling the frequency of a wave does not directly affect the wavelength. The wavelength of a wave is determined by its speed and frequency, and it remains unchanged if only the frequency is doubled.
The relationship between wavelength (λ), frequency (f), and wave speed (v) is given by the formula:
v = λf
Where: v = wave speed λ = wavelength f = frequency
If you double the frequency (f), and the wave speed (v) remains constant, the wavelength (λ) will remain the same. This means that the distance between successive peaks or troughs of the wave will not change.
However, it's important to note that the speed of a wave can be influenced by the medium through which it travels. In some cases, changing the frequency of a wave may also affect its speed and, consequently, its wavelength. For example, in certain types of waves, such as sound waves in air, the speed is dependent on frequency. In such cases, doubling the frequency would result in a change in wavelength.