Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 39, Problem 69P
To determine
To explain:
The observation that the frequency of the second Lyman-series line is the sum of the frequencies of the first Lyman-series line and the first Balmer-series line.
Use the diagram to find some other valid combinations.
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From the energy-level diagram for hydrogen, explain the observation that the frequency of the second Lyman-series line is the sum of the frequencies of the first Lyman-series line and the first Balmer-series line.This is an example of the empirically discovered Ritz combination principle. Use the diagram to find some other valid combinations.
Explain the following
a. Is there any effect of the mass of nucleus on the scattering angle in Rutherford
experiment?
b. How can we use the formulas of expectation values for energy and momentum to extract their values? Explain.
c. Consider an electron moving in a circle of radius r (first level) about a proton, Determine the magnetic dipole moment of an electron.
d. Is there any variation in probability density as a function of distance from the nucleus in
hydrogen atom? Explain.
Draw to careful scale an energy-level diagram for hydrogen for levels with n=1, 2, 3, 4, inf. Show the following on the diagram: (a) the limit of the Lyman series, (b) theHb line, (c) the transition between the state whose binding energy (= energy needed to remove the electron from the atom) is 1.51 eV and the state whose excitation energy is 10.2 eV, and (d) the longest wavelength line of the Paschen series.
Chapter 39 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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