How Much Energy is Needed for Electrons to Probe Nuclear Size?

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Homework Help Overview

The discussion revolves around determining the energy required for electrons to effectively probe nuclear sizes, specifically in relation to the relevant scale of nuclear dimensions, such as the radius of the nucleus, which is approximately 1 Fermi.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the de Broglie wavelength and the energy of electrons, questioning the relevance of nuclear size and whether relativistic effects should be considered.

Discussion Status

The discussion is ongoing, with participants offering insights into the relationship between wavelength and energy, as well as raising questions about the need for relativistic corrections. There is no explicit consensus yet on the approach to take.

Contextual Notes

Participants are considering the implications of using a de Broglie wavelength of 10^-15 m and the potential need to account for relativistic effects in their calculations.

Reshma
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I am quite clueless over this. :frown:

Calculate what energy needs to be given to electrons so that they are able to probe the nuclear size.

Is the radius of the nucleus (~1Fermi) relevant in this problem? Help needed..
 
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Your guess is right. For example x-rays can be used to probe the structure of solids because their wavelengthsm are of the same order of magnitude than atomic spacings in solids.
 
Thanks again for replying!
So, I have to take the de Broglie wavelength as 10-15m and substitute in [itex]\lambda = \frac{h}{\sqrt{2mE}}[/itex] and obtain the KE, right?
 
You should check wether relativistic corrections are necessary or not.
 

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