Kα X-ray lines are emitted from a target with atomic number Z when an electron jumps down from n = 2 to n = 1 state. If I use the approximate formula for the electron energy levels En = -(Z-1)2(13.6)/n2 eV, I can derive Moseley’s law √f = a(Z−b). What are the values of the constants a and b?

Kα X-ray lines are emitted from a target with atomic number Z when an electron jumps down from n = 2 to n = 1 state. If I use the approximate formula for the electron energy levels En = -(Z-1)2(13.6)/n2 eV, I can derive Moseley’s law √f = a(Z−b). What are the values of the constants a and b?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section: Chapter Questions

Problem 13P

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Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

K_α X-ray lines are emitted from a target with atomic number Z when an electron jumps down from n = 2 to n = 1 state. If I use the approximate formula for the electron energy levels

E_n = -(Z-1)²(13.6)/n² eV,

I can derive Moseley’s law √f = a(Z−b). What are the values of the constants a and b?

A) a = 4.96*10⁷ Hz^1/2, b = 0

B) a = 4.96*10⁷ Hz^1/2, b = 1

C) a = 1.24*10¹⁷ Hz^1/2, b = 1

D) a = 1.24*10¹⁷ Hz^1/2, b = 0

E) none of these.

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