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Question

If the lowest energy X-rays have λ=3.055×108m, estimate the minimum difference in energy between two Bohr's orbits such that an electronic transition would correspond to the emission of an X-ray. Assuming that the electrons in other shells exert no influence, at what Z(minimum) would a transition from a second energy level to the first result in the emission of an X-ray?

A
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C
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Solution

The correct option is A 2
E=hcλ=(6.63×1034Js)(3.00×108m/s)3.055×108m
=6.52×1018J
EH=34(2.176×1018J)
=1.63×1018J;E=EH(Z2)
Z2=EEH=(6.52×1018)(1.63×1018)=4;
Z=2(helium)

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