What is the relationship between wavelength and frequency?

http://en.wikipedia.org/wiki/Wavelength

The relationship between wavelength and frequency is inversely proportional. This means that as one increases, the other decreases, and vice versa.

To understand this relationship, let's start with the definitions of wavelength and frequency. Wavelength (λ) is the distance between two consecutive points in a wave that are in the same phase, such as from one peak to the next. Frequency (f) is the number of complete cycles (or oscillations) of a wave that occur in one second.

The formula that relates wavelength and frequency is:

c = λ * f

where c is the speed of light, which is a constant value. Therefore, if we rearrange this equation, we get:

f = c / λ

This equation tells us that frequency is equal to the speed of light divided by the wavelength. So, as the wavelength becomes shorter, the frequency increases, and vice versa.

To get the value of one quantity given the other, you can use this equation and plug in the known value. For example, if you know the wavelength of a wave and want to find its frequency, you can divide the speed of light by the wavelength. Conversely, if you know the frequency and want to find the wavelength, you can divide the speed of light by the frequency.