# Formula for relationship between frequency and wavelength ranges

### How are frequency and wavelength related?

Intensity of light is associated with the energy of the photons that constitute the We can say that intensity follows an inverse relationship with the wavelength of . energy is proportional to frequency and inversely proportional to wavelength. is the number of photons which can range from 1 to an insanely high number. To illustrate the relationship between frequency and wavelength, let's We can start with our equation that relates frequency, wavelength, and the speed of light. see has a particular frequency - Here, the key relationship is shown with worked the equation as it is, and there is a calculator for frequency, wavelength and This gives us a frequency of 92 MHz, which is found in the FM range of most.

Before going on, I want to discuss one point. Frequency is a wave-based idea. What is it doing in a particle-based idea like the quantum? So much so that the term "wave packet" is often used in discussing these ideas. Indeed, modern science now speaks of "wave-particle duality" rather than "Light is a wave" or "Light is a particle.

Albert Einstein and Niels Bohr who were great friends discussed these issues and more often over a period of many years, especially in the late 's and early 's. Their discussions are still important enough to merit historical study today. Every year, several books are published which delve into one or more of the implications of "wave-particle duality.

### Light: Electromagnetic waves, the electromagnetic spectrum and photons (article) | Khan Academy

As one value say the wavelength goes up, the other value the frequency must go down. Because the product of the two must always equal the same value, c, which is a constant.

As the frequency increases, so does E. Because h remains constant. I left a couple guard digits in the answer. Also, notice that the wavelength is not in scientific notation. This is because I made a silent conversion from nm to m. I didn't bother to convert it because it wasn't needed.

## Relation Between Frequency And Wavelength

What is the energy of a photon of green light with a frequency of 5. 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.

**RELATION BETWEEN VELOCITY, FREQUENCY AND WAVELENGTH**

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: 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.

- Wavelength
- Communications System
- Light: Electromagnetic waves, the electromagnetic spectrum and photons

Indeed, the screen you are using had to have this number taken into account when it was being designed.