What Is the Correct Magnetic Field for a Strong Zeeman Effect in Sodium?

[Nick789]

Homework Statement

Have to find the applied magnetic field for strong zeeman effect for sodium.

Given three resonance line components
580nm 585nm and 590 nm

Homework Equations

Ezeeman=B*Bohr Magneton*ml
ml= 0,1 or -1

The Attempt at a Solution

Change energy = hf = hc/wavelength
Can't get sensible magnetic field answer

change wavelength: 10nm so change in energy: 1.988x10-17

Bohr Magneton: 9.27 x 10 ^-24 J/T

B= very high answer 2.6 MT and should be low anywhere from 0 - 60 T

Something is wrong here but not sure how to do it.

 

[vela]

You didn't calculate the energy difference correctly.

 

[Nick789]

question is done now