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Question
If the lowest energy X-rays have λ=3.055×10−8m, 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?
If the lowest energy X-rays have λ=3.055×10−8m, 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?
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Solution
The correct option is A 2
△E=hcλ=(6.63×10−34J−s)(3.00×108m/s)3.055×10−8m
=6.52×10−18J
△EH=34(2.176×1018J)
=1.63×10−18J;△E=△EH(Z2)
Z2=△E△EH=(6.52×10−18)(1.63×10−18)=4;
Z=2(helium)
△E=hcλ=(6.63×10−34J−s)(3.00×108m/s)3.055×10−8m
=6.52×10−18J
△EH=34(2.176×1018J)
=1.63×10−18J;△E=△EH(Z2)
Z2=△E△EH=(6.52×10−18)(1.63×10−18)=4;
Z=2(helium)
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