Fundamentals Of Physics - Volume 1 Only
Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
Question
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Chapter 39, Problem 55P
To determine

To show:

The average value of r is

ravg=Prrdr=1.5a

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The total probability of finding an electron in the hydrogen atom is related to the integral ∫ r2 e-2r/ao dr Where r is the distance of the electron from the nucleus and ao is the Bohr radius. Evaluate thisintegral.
Consider a hydrogen atom in a large magnetic field. Compute the wavelengths of the photons when it transitioned from the 2p → 1s levels when the hydrogen atom is placed in a magnetic field of 2.00 Tesla. In total, consider the three transitions L=1 (2p) to L=0 (1s) associated with the three states ?ℓ= −1, 0, +1. Draw the energy levels for B=0 T and B=2 T. Ignore the effects of the intrinsic electron’s spin angular momentum and only consider the effect of the orbital angular moment L on the energy levels.
The radial wave function of a quantum state of Hydrogen is given by R(r)= (1/[4(2π)^{1/2}])a^{-3/2}( 2 - r/a ) exp(-r/2a), where a is the Bohr radius.(a) Sketch the graph of R(r) x r. For a decent sketch of this graph, take into account some values ​​of R(r) at certain points of interest, such as r=0, 2a, 4a, and so on. Also take into account the extremes of the function R(r) and their inflection points, as well as the limit r--> infinity.

Chapter 39 Solutions

Fundamentals Of Physics - Volume 1 Only

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