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Homework Statement
Excited sodium atoms emit two closely spaced spectrum lines called the sodium doublet with wavelengths 588.995 nm and 589.592 nm. (a) What is the difference in energy between the two upper energy levels (n=3 l=1)? (b) This energy difference occurs because the electrons spin magnetic moment can be oriented either parallel or antiparallel to the internal magnetic field associated with the electron's orbital motion. Use your result in (a) to find the magnitude of this internal magnetic field
Homework Equations
E=hf=hc/λ
Orbital motion: =−(e*L)/2m (Is the e in this formula 1.602*10^-19?)
The Attempt at a Solution
For (a), I think the energy difference is simply caused by the difference in wavelength: which is 0.597 nm. E=hc/λ gives E=3.3*10-16 J. Is this correct?
However, for the second part (b), I don't really know how to tackle the problem.
E=μ(orb)*B
So B=E/μ i guess. To know what μ is, first I should determine L: which is (√(l(l+1)))*h/2π
Can anybody tell me if I'm working in the right way?
L=1.49*10^-34
so μ=-1.31*10-23?
Giving B=2.5*107
Is this correct?