Calculate the kinetic energy of an electron with a wavelength of 1fm

Click For Summary
SUMMARY

The discussion focuses on calculating the kinetic energy of an electron with a wavelength of 1 femtometer (fm) using DeBroglie's relation. Participants confirm that the momentum can be derived from the wavelength, and the energy can be approximated using the equation E≈pc, where p is momentum and c is the speed of light. The approximation is valid due to the energy being significantly greater than the rest mass energy of the electron. This method provides an efficient way to determine kinetic energy in high-energy scenarios.

PREREQUISITES
  • Understanding of DeBroglie's relation
  • Familiarity with the equation E^2=(pc)^2+(mc^2)^2
  • Knowledge of momentum in quantum mechanics
  • Basic concepts of relativistic energy
NEXT STEPS
  • Study the derivation and applications of DeBroglie's relation
  • Learn about relativistic momentum and energy calculations
  • Explore the implications of high-energy physics on particle behavior
  • Investigate the significance of wavelength in quantum mechanics
USEFUL FOR

Physics students, quantum mechanics enthusiasts, and professionals working in high-energy physics or particle physics will benefit from this discussion.

richyw
Messages
179
Reaction score
0

Homework Statement



Calculate the kinetic energy of an electron with a wavelength of 1fm

Homework Equations



DeBroglie's relation
E^2=(pc)^2+\left(mc^2\right)^2

The Attempt at a Solution



I used debroglies relation to find momentum. plugged that into find E, and then subtracted the rest mass to find the kinetic energy. Is this even right? Is there a better way to do it?
 
Physics news on Phys.org
I agree with your method.

In this case the energy is so much greater than rest energy that
E≈pc
is a good approximation of the answer.
 

Similar threads

Replies
8
Views
2K
Replies
1
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 54 ·
2
Replies
54
Views
11K