What is the formula for energies of a Bohr atom in a weak magnetic field?

mystery_witch
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I have this problem to solve, but I can't seem to find the right formula. It says to use "an expression for energies of a Bohr atom in a weak magnetic field".

I've looked in my coursebook but I can't find anything useful. Can anyone help me?
 
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In a weak magnetic field the term -\mu\cdot{\vec B} gets added to the energy.
 
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