Question

Find the minimum magnitude of the magnetic field induction `B` at which a spectral instrument with resolving power `lambda//delta lambda==1.0.10^(5)` is capable of resolving the components of the spectral line `lambda= 536 nm` caused by a transition between singlet terms. The observation line is at right angles to the magnetic field direction.

Answer 1

From the previous problem, if the components are `lambda,lambda+-Delta lambda`, then
`(lambda)/(Delta lambda)=(2pi ħc)/(mu_(B)B lambda)`
For resolution `(lambda)/(Delta lambda)leR=(lambda)/(delta lambda)` of the instrument.
Thus `(2 pi ħc)/(mu_(B)B lambda)leR or Bge(2pi ħc)/(mu_(B)lambdaR)`
Hence the minimum megnetic induction is
`B_(m in)=(2pi ħc)/(mu_(B)lambdaR)= 4kG= 0.4T`