"Electrons are accelerated by a potential of 350kV in an electron microscope. Calculate the de Broglie wavelength of those electrons taling relativistic effects into account"(adsbygoogle = window.adsbygoogle || []).push({});

I attempted the following:

W = W(kin) = 350keV

now

[tex]W(kin)= (1-gamma)mc^2 [/tex]

so, now one could solve for gamma and find the velocity of the particle.

afterwards [tex] p=m*v=h/lambda [/tex]

HOWEVER: I get a negative result in a root when I try to solve for v. Therefore I think that my energy formula must be wrong (I already excluded calculation errors). Can anyone see it?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: DeBroglie wavelength considering relativistic effects

**Physics Forums | Science Articles, Homework Help, Discussion**