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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. |
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Answer» Solution :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` |
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