How does the speed of light in air relate to its wavelength and frequency?

The speed of light in air is primarily determined by the medium through which it travels and is considered a constant. In a vacuum, this speed is approximately 299,792,458 meters per second. When light travels through air, its speed is slightly less, but it remains nearly constant for practical purposes.

The relationship between speed, wavelength, and frequency of light is governed by the equation:

[

c = \lambda \cdot f

]

where ( c ) represents the speed of light, ( \lambda ) is the wavelength, and ( f ) is the frequency. This equation shows that while the speed of light is constant in a medium like air, the wavelength and frequency of light are inversely related. If the frequency increases, the wavelength decreases, and vice versa, but the speed remains constant.

Therefore, the speed of light is independent of the individual values of wavelength and frequency. While frequency and wavelength may change based on the type of light (for example, moving from red light to violet light in the visible spectrum), the speed at which light propagates through air does not change with these variations. Thus, the correct understanding is that the speed of light in air remains constant regardless of the changes in wavelength and