 #1
Eitan Levy
 259
 11
 Homework Statement:

An electron with energy [itex]E_1=12.9124eV [/itex] is involved in a collision with the electron in a hydrogen atom. The electron in the hydrogen atom before the collision is in energy level n=1 and the free electron gives it most energy possible, so that the electron in the hydrogen atom reaches energy level n.
After time [itex]t [/itex] the electron returns to n=1.
Find the width of energy level n
 Relevant Equations:
 [itex]E_n=13.6\frac{z^2}{n^2}eV [/itex]
First, it is easy to see that n=4 after the collision because:
[itex]E_1=13.6\frac{1^2}{1^2}eV=13.6eV [/itex]
[itex]E_4=13.6\frac{1^2}{4^2}eV=0.85eV [/itex]
[itex]E_5=13.6\frac{z^2}{5^2}eV=0.544eV[/itex]
But, I never saw a definition for the width of an energy level.
I tried to use something I saw online that said it was equal to [itex]\frac{h}{t} [/itex] but the result didn't match.
What is this size and how to calculate it?
[itex]E_1=13.6\frac{1^2}{1^2}eV=13.6eV [/itex]
[itex]E_4=13.6\frac{1^2}{4^2}eV=0.85eV [/itex]
[itex]E_5=13.6\frac{z^2}{5^2}eV=0.544eV[/itex]
But, I never saw a definition for the width of an energy level.
I tried to use something I saw online that said it was equal to [itex]\frac{h}{t} [/itex] but the result didn't match.
What is this size and how to calculate it?