Electron accelerated through field

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    Electron Field
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Homework Help Overview

The discussion revolves around calculating the wavelength of an electron beam that has been accelerated through a potential difference, resulting in a specified velocity. The subject area includes concepts from quantum mechanics and relativistic physics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between mass, velocity, and wavelength, with one suggesting the use of energy equations. Questions arise regarding whether to consider rest energy, kinetic energy, or relativistic effects in the calculations.

Discussion Status

There is an ongoing exploration of different approaches to relate the properties of the electrons to their wavelength. Some participants have provided calculations, while others are questioning the assumptions and methods being used.

Contextual Notes

Participants are navigating through various energy equations and their applicability to the problem, indicating a lack of clarity on which specific energy considerations are most relevant for the calculation.

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A beam of electrons is accelerated through a field of a different potential which produces a velocity of 5,45x10^7 m/s. The mass of an electron being 9,11x10^(-31) kg, what would be the wave length of the electron beam?

A question i encountered when doing homework, i need some help with this one..anyone? thanks:redface:
 
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So you need some relation between the mass, velocity and wavelength of your electrons. Did you learn about anything that relates these?
 
would it be...
mc^2=hf
(5.45x10^7)(3x10^8)^2=(6.626x10^-34)(f)...find the frequency and therefore the wave length?...id like to know wether i should be finding the electron's rest energy, kinetic energy..or should i use (mc^2)/(1-v^2/c^2)^1/2?..(lorentz transformation of energy)
 
i got 0,0013 nanometers
 

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