How Does Particle Beam Angular Divergence Relate to Slit Width and Voltage?

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Homework Help Overview

The problem involves a collimated stream of particles being accelerated through a potential difference and subsequently passing through a slit. The focus is on understanding the relationship between the angular divergence of the particle beam, the slit width, and the applied voltage.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to calculate energy, momentum, and wavelength of the particles, suggesting a comparison to light diffraction. There are inquiries about relevant equations and concepts that apply to the problem.

Discussion Status

The discussion is ongoing, with participants emphasizing the importance of showing work and relevant equations before receiving assistance. There is a clear indication that guidance is being offered, but no consensus has been reached on the specific approach to the problem.

Contextual Notes

Participants are reminded of the forum's rules regarding showing work and relevant equations, which may influence the direction of the discussion.

getcarter
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Homework Statement



A collimated stream of particles of mass m and charge q are accelerated from rest through a potential difference of V. They fall upon a slit of width d. What is the approximate angular divergence of the beam emerging from the other side?

is there anyone who help me ?
 
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You need to show some work before anyone can help you. What have you tried?
 
Find their energy, momentum , and wavelength.
Then treat it just like diffraction of light.
 
But i couldn't.
 
getcarter said:
But i couldn't.

getcarter, as cristo is pointing out to you in the threads you've started here so far, you MUST show the relevant equations and you MUST show us your work so far, in order for us to help you. One of the most important rules here on the PF is that we do not give out answers. We are happy to provide tutorial support, but only if you show us you are trying.

So now, what are the relevant equations and concepts for this problem, and for the other thread that you posted about the fast shutter spreading the photon wavelength distribution?
 

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