• Support PF! Buy your school textbooks, materials and every day products Here!

De Broglie Wavelength

  • Thread starter jinksys
  • Start date
  • #1
123
0

Homework Statement


Show that the de Broglie wavelength of a particle of mass m and kinetic energy KE is given by

[tex]\lambda = \frac{hc}{\sqrt{KE(KE + 2mc^2)}}[/tex]



Homework Equations





The Attempt at a Solution


I know:

[tex]KE = {\gamma}mc^2 - mc^2 = pc - mc^2[/tex]

But from here I am lost. I have a hunch that I need to use the equation that equates Energy and Momentum, but I'm lost.
 
Last edited:

Answers and Replies

  • #2
1,254
3
The problem is that your equation only applies to the relativistic limit, in general
[tex]
E_k = \sqrt{(pc)^2 + (mc^2)^2} - mc^2
[/tex]
Try using that.
 

Related Threads for: De Broglie Wavelength

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
953
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
10K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
8
Views
5K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
3
Views
3K
Top