Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 14E
To determine

Verify thee numerical values of Bohr radius and ground state energy of hydrogen.

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A hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23 x 10, write as 1.23E–9). Do not Include the units in your answer.
In the relativistic treatment of the hydrogen atom (excluding QED), the 251/2 and 2P1/2 levels are found to be degenerate. Which of the following best describes why? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a The degeneracy is a result of the rotational symmetry of the H-atom b d e The Darwin and spin-orbit terms exactly cancel for both levels Each individual contribution (mass-velocity, Darwin and spin-orbit) to the splitting only depend on the total angular momentum quantum number j The mass-velocity and Darwin terms exactly cancel for both levels The degeneracy is due to a subtle symmetry of a 1/r potential when n = 1 and would no longer be the case for other n.

Chapter 36 Solutions

Essential University Physics (3rd Edition)

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