Finding The Spectral Line Width

[Dew.J]

[STRIKE][STRIKE][/STRIKE][/STRIKE]

Homework Statement

Using only the information above (previous problem), what is the line width of the spectral line representing the 5 to 2 transition in H (hydrogen)

Homework Equations

Given Data: lifetime of n = 5 is 7.52ns
lifetime of n = 2 is 1.38ns
Thus, total t = 8.9ns

delta E = h/delta T = 4.63x10-7 eV

The Attempt at a Solution

looking through the book I find that Delta X (width of the wave packet) = h/p where p = SQRT(2*Me*E). However, i can find no equation that expressly relates the width of the spectral line. Is this Delta X what I am looking for or is their another equation that I'm not seeing. Thanks.

 

[Rajini]

Hi,
I guess your delta E = h/delta T = 4.63x10-7 eV can be correct!
Or better:
Use the uncertainty principle that related spread of energy and life time! Also take care of notations like h or hbar.