# Light wave frequency and wavelength relationship

### How are frequency and wavelength related? The relation between wavelength and frequency. Light moves with a speed Frequency is how many complete waves go by per second. Second, the frequency of light remains the same when crossing the interfaces therefore there isn't an inverse relation between the frequency and wavelength. Electromagnetic waves always travel at the same speed (, km per second ). This is FREQUENCY OF OSCILLATION x WAVELENGTH = SPEED OF LIGHT. We can use this relationship to figure out the wavelength or frequency of any.

Light as a Wave, Wavelength and Frequency

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.

## Communications System

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. It is mathematically equivalent to the aliasing of a signal that is sampled at discrete intervals. More general waveforms[ edit ] Near-periodic waves over shallow water The concept of wavelength is most often applied to sinusoidal, or nearly sinusoidal, waves, because in a linear system the sinusoid is the unique shape that propagates with no shape change — just a phase change and potentially an amplitude change.

Sinusoids are the simplest traveling wave solutions, and more complex solutions can be built up by superposition.

In the special case of dispersion-free and uniform media, waves other than sinusoids propagate with unchanging shape and constant velocity. In certain circumstances, waves of unchanging shape also can occur in nonlinear media; for example, the figure shows ocean waves in shallow water that have sharper crests and flatter troughs than those of a sinusoid, typical of a cnoidal wave a traveling wave so named because it is described by the Jacobi elliptic function of m-th order, usually denoted as cn x; m.

## Wavelength

If a traveling wave has a fixed shape that repeats in space or in time, it is a periodic wave. The speed of light has been given the letter c. In fact, as with all mathematical letters it is just a label and any letter would do providing we state what we mean when we use it.

• Light: Electromagnetic waves, the electromagnetic spectrum and photons

Another way of writing this is: This means a three with eight zeros behind it, i. Again this is just a label, or shorthand, in order to allow us to work quickly with the equation.

### Wavelength - Wikipedia

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.