Differing wavelengths of equal energy photons and electrons

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Homework Help Overview

The discussion revolves around the relationship between the wavelengths of photons and electrons that possess the same energy, specifically within a relativistic context. The original poster seeks to understand how to demonstrate that their wavelengths differ and how to calculate energy when the wavelength difference is a factor of four.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the equations for the wavelength of photons and electrons, with some suggesting that the wavelength for electrons can be derived similarly to that of photons, despite the challenges in finding a specific formula. Questions about the terminology related to the wavelength of particles are also raised.

Discussion Status

There is ongoing exploration of the problem, with participants providing guidance on the need to express wavelength in terms of energy. Some have pointed out the requirement for the original poster to demonstrate prior effort before receiving further assistance.

Contextual Notes

The discussion is framed within the constraints of forum rules that require participants to show their efforts before receiving help. There is also a mention of the need to consider the rest mass of the electron in the context of its wavelength.

mushupork5
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If a photon and an electron have the same energy how would i show that their wavelengths differ (relativistically)? Furthermore, how would I find the energy when the difference between the wavelength of the photon and electron is a factor of 4? thanks
 
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Welcome to PF,

You can start by showing the equations for the wavelength of a photon and an electron.

~H
 
well the wavelength of a photon is simply h/p, for the electron i can't seem to find a formula for the wavelength
 
1. mushu : The rules for this sub-forum require that you show all the effort you've made towards solving the problem before we can help you.

2. Now that you've started, go back to the question. You want to find the wavelength in terms of the energy.

3. There's a name given to the wavelength associated with a particle (or any chunk of matter). Do you remember what this name is ?
 
mushupork5 said:
well the wavelength of a photon is simply h/p, for the electron i can't seem to find a formula for the wavelength
Use the same formula. Think of the electron as a photon that has a non-zero rest mass.

AM
 

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