Derive from the Uncertainty Principle a formula for the relative spread of the spectral line that corresponds to the longest wavelength of the Lyman series.
Relevant equations
uncertainty principle:
?x?p??/2
planck constant
?=h/2pi
h=?p
Lyman series:
1/?=RH(1-1/n2)
?=hc/Ei-Ef
I'm not quite sure how to go about the problem. I have gathered some formulas I believe will help me out. If I substitute some of these formulas in to the uncertainty principle I get
?x?p?(hc/Ei-Ef)p/(4pi)
I'm not sure where to go from here. Any help would be greatly appreciated.