# Speed of light to wavelength and frequency relationship

### The Wave Equation Wavelength = Speed of Light / Frequency. λ = c / f. Above formula indicates that there is a inverse relationship between wavelength and frequency. Higher the. The relationship between the frequency (the number of wave crests that pass by a certain point in a given amount of time) and wavelength for electromagnetic. Each color of light we see has a particular frequency - Here, the key relationship is shown with worked examples.

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. 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?

### Wavelength and the Index of Refraction

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: We now have everything we need to work out the frequency: So when we look at something that is medium red about ,, tiny little wave crests pass through our eyes every second!

This is certainly a very large number but still measurable using modern equipment. Indeed, the screen you are using had to have this number taken into account when it was being designed. 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.

### Speed, Frequency and Wavelength - How they are related, with examples

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. 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. If an object absorbs all light except the frequencies found in the red region of the spectrum, the object appears red.

## The Wave Equation

Red light is reflected off of the object. White is actually not a color, but a combination of all colors, occurring when all frequencies of light are reflected. Likewise, black is actually the absence of reflected light, occurring when all frequencies of light are absorbed.

Light waves exhibit constructively and destructive interference patterns.