Calculating Electron Acceleration Potential

AI Thread Summary
To calculate the potential difference needed to accelerate an electron from rest to achieve a wavelength of 0.154 nm, the equation eV = hc / λ is used. The calculated potential is approximately 8072V. However, there is a noted confusion regarding the formula, as it incorrectly includes the speed of light instead of the electron's momentum. A suggested correction indicates that the denominator should be λ rather than mv, pointing to a potential typo in the source material. Accurate application of the formula is crucial for correct calculations in quantum mechanics.
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Homework Statement


Calculate the potential difference required to accelerate electron from rest to acquire wavelength of 0.154nm

Homework Equations

The Attempt at a Solution


eV = hc / λ
(1.6x10^-9) (V) = (6.63x10^-34)(3x10^8)/ 0.154x10^-9
V = 8072V ...
here's the sample ans :
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It's about an electron. There is no speed of light in the formula for momentum of the electron.
You are mixing up things.

I think there is a typo in the book. The denominator in the last formula should be ## \lambda ## and not mv.
 
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It is a typo, but they still used lambda where you would expect them to plug in (incorrectly) v.
 
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