Calculate wavelength of electron

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Homework Help Overview

The discussion revolves around calculating the wavelength of an electron, specifically using the de Broglie wavelength formula. The context includes relativistic effects due to the electron's speed being a significant fraction of the speed of light.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the de Broglie wavelength formula and question the correctness of the original calculation. There is mention of needing to account for relativistic effects, leading to the introduction of the Lorentz factor in the wavelength calculation.

Discussion Status

The conversation is active, with participants exploring the implications of relativistic effects on momentum and wavelength. Some guidance has been offered regarding the need to adjust the formula used for the wavelength calculation, but no consensus has been reached on terminology or the exact nature of the effects being discussed.

Contextual Notes

Participants are navigating the complexities of relativistic physics, including potential misunderstandings about the terminology related to momentum and its effects at high velocities. There is also a reference to discrepancies between calculated and expected values, indicating a need for further exploration of the assumptions made in the problem setup.

okgo
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Homework Statement



http://www.screencast.com/users/trinhn812/folders/Jing/media/9582a1aa-b21a-4e50-8774-b60866a7d666

Homework Equations



lambda=h/p

The Attempt at a Solution


So I got 4.04E-12 m but the book says the answer is 3.23pm

I'm not sure where I'm wrong
 
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The speed of the electron is 0.6c, so you need to to use

λ=h/γp where γ = 1/√(1-(v/c)2)
 
Thanks. So in addition to time dilation and length contraction, is this what you call momentum dilation?
 
okgo said:
Thanks. So in addition to time dilation and length contraction, is this what you call momentum dilation?

Not sure if that is what it is called, but I call it momentum accounting for relativistic effects.
 

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