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 71P
To determine

The average radial speed for an electron in ground state.

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The radial wave function for the 5f orbital can be expressed as: Rn (r) = Ne-r/5 p3 (8-4) where N is a normalization constant. a. What is n? n = a. What is l? = c. How many nodes does this wave function have? # nodes= d. Compute the numerical value of the integral Jo I 2 Rn,Kr) Rn,(r) dr :
An electron is in a three-dimensional box. The xx- and zz-sides of the box have the same length, but the yy-side has a different length. The two lowest energy levels are 2.18 eVeV and 3.47 eVeV, and the degeneracy of each of these levels (including the degeneracy due to the electron spin) is two. What is the length LY for side of the box? What are the lengths LXLX, LZLZ for sides of the box? What is the energy for the next higher energy state? What are the quantum numbers for the next higher energy state? What is the degeneracy (including the spin degeneracy) for the next higher energy state?
3. a) According to the spherical shell model, predict J" for the ground state and first excitation of 'Be, ¹70 and 2¹Ne. b) Explain pros and cons of the shell model based on a harmonic oscillator potential of the type: Vo = 1/2 kr².

Chapter 36 Solutions

Essential University Physics (3rd Edition)

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