Calculate the wavelength of a photon

A ground state H atom absorbs a photon of energy 2. As the atom relaxes, it emits two photons: one of wavelength nm to reach an intermediate level, and a second to reach the ground state.

Last Updated: January 12, Fact Checked. This article was co-authored by Meredith Juncker, PhD. Her studies are focused on proteins and neurodegenerative diseases. There are 7 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 1,, times. Wavelength is the distance of 1 frequency wave peak to the other and is most commonly associated with the electromagnetic spectrum.

Calculate the wavelength of a photon

Many, many problems in physics and chemistry require you to use an energy-to-wavelength calculator. Do you have an energy transition between two states and wonder what wavelength of light this corresponds to? Have you the energy of two waves that have undergone a constructive or destructive interaction and want to find the new wavelength? If so, you've found the right place in Omni's energy-to-wavelength calculator, which will help you learn how to calculate wavelength from energy for a photon or wave! The energy to wavelength formula relies upon two other equations: the wave speed equation and the Planck—Einstein relation. The wave speed equation looks like this:. In most cases, we are looking at how a wave travels through a vacuum. In this case, v v v is actually equal to the speed of light, ,, meters per second , which we denote as c c c. Manipulation of the formulas is then required. First, replace v v v with c c c. Then rearrange the wave speed equation so that frequency is in terms of wavelength. We then substitute this formula into the Planck-Einstein equation. Finally, we must rearrange this substituted formula to get the wavelength in terms of energy:. We hope this tool provides you with everything you need to solve your problem. However, if for some reason it does not, please check out our other relevant tools:.

Italiano: Calcolare la Lunghezza d'Onda. If you know the speed and frequency of the wave, you can use the basic formula for wavelength.

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The wavelength calculator can assist you in determining the relationship between frequency and wavelength. Continue reading if you are here to learn how to calculate the frequency of a wave or look for the wavelength formula. Wave velocity v is how fast a wave propagates in a given medium. Its unit is meter per second. Check the speed calculator for more information about speed and velocity. It depends on the medium in which a wave travels. It is measured in meters. Frequency f of a wave refers to how many times per a given time duration the particles of a medium vibrate when the wave passes through it. Remember about the proper units!

Calculate the wavelength of a photon

Many, many problems in physics and chemistry require you to use an energy-to-wavelength calculator. Do you have an energy transition between two states and wonder what wavelength of light this corresponds to? Have you the energy of two waves that have undergone a constructive or destructive interaction and want to find the new wavelength?

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Hobbies and Crafts Crafts Drawing Games. Sample Calculating Wavelength Practice Problems. The next equation we need to consider is the Planck-Einstein relation:. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. We're glad this was helpful. Ente Jan 2, I will need to come back many times to grasp more, but I'm pleased at my increased awareness. This article was co-authored by Meredith Juncker, PhD. Claire Russell Feb 24, For example, perhaps you used Joules when you should have used Hertz, so you ended up with the incorrect answer. Bohr model Compton scattering Compton wavelength What is the wavelength of the second photon emitted? Co-authored by:. If the wave's frequency is 4 x 10 14 Hz, what is its wavelength? More success stories Hide success stories.

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If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. The energy to wavelength formula relies upon two other equations: the wave speed equation and the Planck—Einstein relation. More References 1. You can rearrange the equation with algebra to solve for wavelength. The frequency remains constant at f. You follow the instructions above and get an answer of 4. Remember to use the correct units when you're using the formula and writing your answer. Relationships Dating Love Relationship Issues. Thank you. For example, perhaps you used Joules when you should have used Hertz, so you ended up with the incorrect answer. Once you have rearranged the equation, you can solve for the wavelength by plugging in the variables for energy. Use the sound wavelength calculator to study the behavior of sound waves in different mediums. Meredith Juncker, PhD. If you found the right value for the wavelength, multiplying by the frequency should get you the wave speed you started with.