If the lowest energy X-rays havem, 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 the second energy level to the first result in the emission of an X-ray?
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Answer:
triangle E=
λ
hc
=
3.055×10
−8
m
(6.63×10
−34
J−s)(3.00×10
8
m/s)
=6.52×10
−18
J
△E
H
=
4
3
(2.176×10
18
J)
=1.63×10
−18
J;△E=△E
H
(Z
2
)
Z
2
=
△E
H
△E
=
(1.63×10
−18
)
(6.52×10
−18
)
=4;
Z=2(helium)
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