Find Wavelength of Photons & Electrons as Function of Kinetic Energy

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Homework Help Overview

The discussion revolves around finding the wavelength of photons and electrons as a function of their kinetic energy. Participants explore the relationships between energy, momentum, and wavelength in the context of both particles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive the wavelength for photons using energy-momentum relations and questions how to approach the same for electrons. Some participants suggest using specific equations for electrons and clarify the notation used for kinetic energy.

Discussion Status

Participants are actively engaging with the problem, with some providing equations and clarifications. There is a mix of understanding and confusion regarding the notation for kinetic energy, but productive exchanges are occurring.

Contextual Notes

There is a mention of standard notation for kinetic energy, with some participants clarifying terms used in the discussion. The original poster expresses uncertainty about the approach for electrons compared to photons.

prochatz
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1)How can I find the wavelength as a function of the kinetic energy i)for photons, ii)for electrons?

i)For photons.
I think that I found it. I used the relation: E^2=c^2*p^2+(mc^2)^2
The photon's rest mass is 0. So we get: E=c*p
p=E/c ---> p=h*v/c --->p=h/λ
Finally: λ=c*h/E

ii)For electrons.
I don't know what to do. Do I have to use the same equations?
 
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For the electron use pc=\sqrt{E^2-m^2c^4}, and then substiltute
T=KE=E-mc^2, so E=T+mc^2.
 
Meir Achuz said:
For the electron use pc=\sqrt{E^2-m^2c^4}, and then substiltute
T=KE=E-mc^2, so E=T+mc^2.

I assume K is the kinetic energy, but what's T?:confused:
 
KE=kinetic energy, T is standard notation for it too.
 
prochatz said:
I assume K is the kinetic energy, but what's T?:confused:

Never mind, got it :smile:
 
inha said:
KE=kinetic energy, T is standard notation for it too.

Thanks INHA.
 

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