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Referring to the figure below, we see that the atomic number Z is proportional to f/2 or that z² is proportional to f. Because the frequency of the characteristic x-ray lines is itself proportional to the energy of the associated x-ray photon, we are led to conclude that AE and hence the energies of the atomic levels also scale as z?. Based on this analysis (and ignoring any differences from the masses of their nuclei), how much greater is the energy associated with the ground state of boron (Z = 5) than that of hydrogen (Z = 1)? E = Make a similar comparison between the ground state energies for magnesium (Z = 12) and hydrogen. EMg = EH 48 Ka 42 36 30 - 24 18 - 12 6 10 20 30 40 50 60 70 80 90 100 Atomic number (Z)

Referring to the figure below, we see that the atomic number Z is proportional to f/2 or that z² is proportional to f. Because the frequency of the characteristic x-ray lines is itself proportional to the energy of the associated x-ray photon, we are led to conclude that AE and hence the energies of the atomic levels also scale as z?. Based on this analysis (and ignoring any differences from the masses of their nuclei), how much greater is the energy associated with the ground state of boron (Z = 5) than that of hydrogen (Z = 1)? E = Make a similar comparison between the ground state energies for magnesium (Z = 12) and hydrogen. EMg = EH 48 Ka 42 36 30 - 24 18 - 12 6 10 20 30 40 50 60 70 80 90 100 Atomic number (Z)

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 135QRT
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energy of the associated x-ray photon, we are led to conclude that AE and hence the energies of the atomic levels also scale as Z4. Based on this analysis (and ignoring any differences from the masses of their nuclei), how much greater is the energy associated with the ground state of boron (Z = 5) than that of hydrogen (Z = 1)? EB Referring to the figure below, we see that the atomic number Z is proportional to f12 or that z“ is proportional to f. Because the frequency of the characteristic x-ray lines is itself proportional to the EH Make a similar comparison between the ground state energies for magnesium (Z = 12) and hydrogen. EMg H. KB Ka 48 42 36 30 24 18 12 6 10 30 40 50 60 70 80 90 100 Atomic number (Z) 20
Transcribed Image Text:energy of the associated x-ray photon, we are led to conclude that AE and hence the energies of the atomic levels also scale as Z4. Based on this analysis (and ignoring any differences from the masses of their nuclei), how much greater is the energy associated with the ground state of boron (Z = 5) than that of hydrogen (Z = 1)? EB Referring to the figure below, we see that the atomic number Z is proportional to f12 or that z“ is proportional to f. Because the frequency of the characteristic x-ray lines is itself proportional to the EH Make a similar comparison between the ground state energies for magnesium (Z = 12) and hydrogen. EMg H. KB Ka 48 42 36 30 24 18 12 6 10 30 40 50 60 70 80 90 100 Atomic number (Z) 20
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