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Exercise:
Calculate wavelength and frequency for EkO electrons.

Solution:
The frequency is f fracEh fF fracm+Eknch fracm+Eknch resultfS With the energy-momentum-mass relation E^ E_+sscEkin^ E_^+pc^ we find for the momentum p fracsqrtE_+sscEkin^-E_^c and thus for the de Broglie wavelength lambda frachp laF frachcsqrtleftm+Ekright^-m^ la approx resultlaP- The classical calculation leads to a completely different and wrong result: ssclambdacl frachsscpcl laclF fracnchsqrttimesmkgtimesEk lacl
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Exercise:
Calculate wavelength and frequency for EkO electrons.

Solution:
The frequency is f fracEh fF fracm+Eknch fracm+Eknch resultfS With the energy-momentum-mass relation E^ E_+sscEkin^ E_^+pc^ we find for the momentum p fracsqrtE_+sscEkin^-E_^c and thus for the de Broglie wavelength lambda frachp laF frachcsqrtleftm+Ekright^-m^ la approx resultlaP- The classical calculation leads to a completely different and wrong result: ssclambdacl frachsscpcl laclF fracnchsqrttimesmkgtimesEk lacl
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Attributes & Decorations
Branches
quantum physics
Tags
de broglie, electron, matter wave
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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