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

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?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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