Calculating the Kinetic Energy of an Electron in X-Ray Radiation

Click For Summary
SUMMARY

The discussion centers on calculating the kinetic energy (KE) of an electron impacting a target in X-ray radiation, specifically using the minimum wavelength of 1.23 angstroms. The equation utilized is KE = hc/λ, where h is Planck's constant and c is the speed of light. The values provided include hc = 1240 nm·eV and λ = 12.3 nm, confirming that the kinetic energy can be derived directly from these constants and the wavelength. The consensus is that the formula KE = hc/λ is indeed correct for this calculation.

PREREQUISITES
  • Understanding of the relationship between wavelength and energy in electromagnetic radiation.
  • Familiarity with Planck's constant and its application in energy calculations.
  • Basic knowledge of electron behavior in X-ray interactions.
  • Ability to convert units between nanometers and angstroms.
NEXT STEPS
  • Research the derivation and implications of the equation KE = hc/λ in quantum mechanics.
  • Learn about the role of electrons in X-ray production and their energy transformations.
  • Explore the significance of wavelength in determining the energy of photons in X-ray radiation.
  • Investigate the applications of X-ray radiation in medical imaging and material analysis.
USEFUL FOR

Students in physics, particularly those studying quantum mechanics and X-ray applications, as well as professionals in fields involving radiation and material science.

PsychonautQQ
Messages
781
Reaction score
10

Homework Statement


The minimum wavelength observed in x-ray radiation is 1.23 angstroms. (1 angstrom = 10E-10m). What is the KE, in eV, of the primary electron hitting the target?


Homework Equations


eV = hc/λ
and since all the potential energy becomes kinetic...
is the answer simply
KE = hc/λ?
hc = 1240 nm*ev and λ=12.3nm
 
Physics news on Phys.org
If there is nothing else mentioned, I too think that KE = hc/λ.
 

Similar threads

Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
6K
Replies
1
Views
5K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
2
Views
3K
Replies
6
Views
4K
Replies
9
Views
3K
  • · Replies 17 ·
Replies
17
Views
4K
Replies
8
Views
2K