In a vacuum, the frequency of light is constant and does not change. The frequency of light refers to the number of wave cycles that pass a given point in one second. In a vacuum or free space, where there is no material medium to interact with, light travels at its maximum speed, known as the speed of light, denoted by the symbol 'c'. In a vacuum, the speed of light is approximately 299,792,458 meters per second.
According to the wave equation, the speed of light in a vacuum is equal to the product of its frequency (f) and wavelength (λ):
c = f * λ
Rearranging the equation, we can express the frequency of light in terms of the speed of light and the wavelength:
f = c / λ
Since the speed of light in a vacuum is constant, the frequency of light in a vacuum solely depends on its wavelength. Different wavelengths of light correspond to different colors in the visible spectrum, ranging from shorter wavelengths (higher frequency) for violet light to longer wavelengths (lower frequency) for red light.
In summary, the frequency of light in a vacuum remains constant at any wavelength, with its value determined by the speed of light divided by the wavelength.