Yes, the frequency of a vibrating source does affect the wavelength. The wavelength of a wave is defined as the distance between two consecutive points in the wave that are in phase, such as two crests or two troughs.
The relationship between frequency (f), wavelength (λ), and the speed of the wave (v) is given by the formula:
v = f * λ
Where:
- v is the speed of the wave
- f is the frequency of the wave
- λ is the wavelength of the wave
This formula indicates that as the frequency of a wave increases, the wavelength decreases if the speed of the wave remains constant. Conversely, if the frequency decreases, the wavelength increases, again assuming a constant wave speed.
So, if the frequency of a vibrating source increases, the wavelength of the corresponding wave it produces will decrease, and vice versa.