4. Using the Bohr model and neglecting interactions between the electrons, the allowed energy levels of an electron in a multi-electron atom are 13.6 eV En n² = where n = 1, 2,... and Z is the atomic number of the nucleus. X-rays produced by the transition of an electron in the L (n = 2) shell to K (n = 2) shell are called Ka X-rays. In this transition, the electron "sees" a positive charge of Z-1, because one electron in the K shell shields the nuclear charge. Show that the frequency of a Ka X-ray is proportional to (Z − 1)². Z²

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
4. Using the Bohr model and neglecting interactions between the electrons, the allowed energy levels of an
electron in a multi-electron atom are
13.6 eV
-Z²
En
n²
1, 2,
where n =
and Z is the atomic number of the nucleus. X-rays produced by the transition of an electron
in the L (n = 2) shell to K (n = 2) shell are called Ka X-rays. In this transition, the electron "sees" a positive
charge of Z - 1, because one electron in the K shell shields the nuclear charge. Show that the frequency of a
Ka X-ray is proportional to (Z − 1)².
-
Transcribed Image Text:4. Using the Bohr model and neglecting interactions between the electrons, the allowed energy levels of an electron in a multi-electron atom are 13.6 eV -Z² En n² 1, 2, where n = and Z is the atomic number of the nucleus. X-rays produced by the transition of an electron in the L (n = 2) shell to K (n = 2) shell are called Ka X-rays. In this transition, the electron "sees" a positive charge of Z - 1, because one electron in the K shell shields the nuclear charge. Show that the frequency of a Ka X-ray is proportional to (Z − 1)². -
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Atomic spectra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON