# Formula for relationship between frequency and wavelength of visible light

### Wavelength - Wikipedia

Now shorter the wavelength, greater is the frequency of light also, which Planck's equation for the energy of a quantum of light, or the energy of a photon which is: E whereas bigger the wavelength (such as radio waves) lower the energy. In the electromagnetic spectrum there are many different types of waves with varying They are all related by one important equation: Any electromagnetic wave's frequency multiplied by its wavelength We can use this relationship to figure out the wavelength or frequency of any How does reflection affect radio waves?. Now on to the equations. Wavelength (l) and Frequency (n) Relationships Typical question #1- What is the frequency of red light with a wavelength of nm?.

In acoustics, where a medium is essential for the waves to exist, the wavelength value is given for a specified medium.

### Wavelength, Wavelength Formula, Wavelength to Frequency | [email protected]

The variation in speed of light with vacuum wavelength is known as dispersionand is also responsible for the familiar phenomenon in which light is separated into component colors by a prism. Separation occurs when the refractive index inside the prism varies with wavelength, so different wavelengths propagate at different speeds inside the prism, causing them to refract at different angles.

The mathematical relationship that describes how the speed of light within a medium varies with wavelength is known as a dispersion relation. Nonuniform media[ edit ] Various local wavelengths on a crest-to-crest basis in an ocean wave approaching shore [11] Wavelength can be a useful concept even if the wave is not periodic in space.

For example, in an ocean wave approaching shore, shown in the figure, the incoming wave undulates with a varying local wavelength that depends in part on the depth of the sea floor compared to the wave height.

The analysis of the wave can be based upon comparison of the local wavelength with the local water depth. For this reason, within the visible spectrum, shorter wavelength blue light is more energetic than longer wavelength red light i.

Newton was the first scientist to study color.

He passed sunlight through a prism and found that it could be separated into beams of light of different colors. He showed that visible light actually consists of red, orange, yellow, green, blue, and violet light.

Each of these colors corresponds to a particular frequency and wavelength of light. Newton passed the individual color bands produced by the prism through a second prism.

This second prism re-combined the individual bands and the light exited the prism as white light.

## Communications System

This showed that white light is actually the combination of all of the colors of the spectrum. The color of an object is due to the frequencies and corresponding wavelengths of light absorbed by the object. Most objects absorb the majority of the frequencies of light.

Any frequencies that are not absorbed by the object are reflected, giving the object a particular color. 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. How many times are the tiny crests of the light waves coming from that red object passing through the front of your eyes every second?

In other words, what is the frequency of red light? Well, we know the speed of light and can take an average figure for the wavelength of red light.

Let's say it's nm, that is: