# Wave frequency and wavelength relationship

### Wavelength & frequency | Sound Waves

see has a particular frequency - Here, the key relationship is shown with worked like an upside-down letter y, is used to denote the wavelength of the wave. The properties of waves are described in terms of frequency, wavelength, wave . The relation between the energy of light and the wavelength is shown in. The wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a.

The analysis of the wave can be based upon comparison of the local wavelength with the local water depth. The figure at right shows an example. As the wave slows down, the wavelength gets shorter and the amplitude increases; after a place of maximum response, the short wavelength is associated with a high loss and the wave dies out.

The analysis of differential equations of such systems is often done approximately, using the WKB method also known as the Liouville—Green method. The method integrates phase through space using a local wavenumberwhich can be interpreted as indicating a "local wavelength" of the solution as a function of time and space.

## Communications System

In addition, the method computes a slowly changing amplitude to satisfy other constraints of the equations or of the physical system, such as for conservation of energy in the wave. Crystals[ edit ] A wave on a line of atoms can be interpreted according to a variety of wavelengths. Waves in crystalline solids are not continuous, because they are composed of vibrations of discrete particles arranged in a regular lattice. This produces aliasing because the same vibration can be considered to have a variety of different wavelengths, as shown in the figure.

The range of wavelengths sufficient to provide a description of all possible waves in a crystalline medium corresponds to the wave vectors confined to the Brillouin zone.

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It is mathematically equivalent to the aliasing of a signal that is sampled at discrete intervals. Again this is just a label, or shorthand, in order to allow us to work quickly with the equation.

Wavelengths are usually measured in metres. Providing we know any two of the three quantities we can find the other one, either directly or by rearranging the equation. The next section solves the equation as it is, and there is a calculator for frequency, wavelength and speed here.

Solving the Equation In this example we will consider the frequency of radio waves. Radio waves are just another form of "light", i. Let's say we have a radio with a dial that is only marked in MHz. This is a measurement of frequency and we note that 1 MHz is the same as 1 million hertz the M in MHz stands for " mega ", which means million.

We are told of a radio broadcast we want to hear but we are only given the wavelength of the station and not the frequency. The wavelength we are given is 3.

We know the speed of light and we know the wavelength so it's now an easy matter to plug these numbers into the equation and find the frequency of the radio station: This gives us a frequency of 92 MHz, which is found in the FM range of most domestic radios. Visible Light The wavelengths of visible light are measured in nanometres, nm billionths of a metre but the equation works just the same.

When we look at a light source the colours we see are dictated by the frequency of the light. These frequencies are very high by everyday standards.

Have a look around the room and find something that's the colour red.