For a given material, the energy and wavelength of characteristic x-rays satisfy:
A
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B
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C
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D
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Solution
The correct options are C > > D > >
Quantitatively, E(Kα)=EK−EL E(Kβ)=EK−EM E(Kγ)=EK−EN Clearly, E(Kα) < E(Kβ) < E(Kγ). (1) Since energy is inversely proportional to wavelength, by the relation E = hcλ, relation (1) will imply, λ(Kα) > λ(Kβ) < λ(Kγ). (2) What now about the L and M lines? The diffference between the energy levels decreases as the principal quantum number n increases. This will mean - (EM−EN) < (EL−EM) < (EK−EL) →E(Mα)<E(Lα)<E(Kα) (3) →λ(Mα) > λ(Lα) < λ(Kα) (4) Since energy and wavelength share a reciprocal relation.