College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 30, Problem 43PE
What angles can the spin S of an electron make with the Z-axis?
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Students have asked these similar questions
What angles can the spin S of an electron make with the z -axis?
How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7?
Angular momentum and Spin. An electron in an H-atom has orbital angular momentum
magnitude and z-component given by
L² = 1(1+1)ħ²,
L₂ = m₂h,
1 = 0,1,2,..., n-1
m₁ = 0, +1, +2, ..., ±l
3
1
S² = s(s+1)h²=h², S₂ = m₂h = + = h
+/-ħ
4
Consider an excited electron (n > 1) on an H-atom.
What is the minimum angle 0min that the S can have with the z-axis?
Clue: the angle a vector with magnitude V from the z-axis can be computed from
cos 0 = V²/V
Chapter 30 Solutions
College Physics
Ch. 30 - Name three different types of evidence for the...Ch. 30 - Explain why patterns observed in the periodic...Ch. 30 - If atoms exist, why can't we see them with visible...Ch. 30 - What two pieces of evidence allowed the first...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Explain how Bohr's rule for the quantization of...Ch. 30 - What is a hydrogen-like atom, and how are the...Ch. 30 - Explain why characteristic x rays are the most...Ch. 30 - Why does the energy of characteristic x rays...
Ch. 30 - Observers at a safe distance from atmospheric test...Ch. 30 - Lasers are used to burn and read CDs. Explain why...Ch. 30 - Crystal lattices can be examined with x rays but...Ch. 30 - CT scanners do not detect details smaller than...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Atomic and molecular spectra are discrete. What...Ch. 30 - Hydrogen gas can only absorb EM radiation that has...Ch. 30 - Lasers are used to burn and read CDs. 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State...Ch. 30 - Using the given charge-to-mass ratios for...Ch. 30 - (a) Calculate the mass of a proton using the...Ch. 30 - If someone wanted to build a scale model of the...Ch. 30 - Rutherford found the size of the nucleus to be...Ch. 30 - In Millikan's oil-drop experiment, one looks at a...Ch. 30 - (a) An aspiring physicist wants to build a scale...Ch. 30 - By calculating its wavelength, show that the first...Ch. 30 - Find the wavelength of the third line in the Lyman...Ch. 30 - Look up the values of the quantities in...Ch. 30 - Verify that the ground state energy E0 is 13.6 eV...Ch. 30 - If a hydrogen atom has its electron in the n=4...Ch. 30 - A hydrogen atom in an excited state can be ionized...Ch. 30 - Find the radius of a hydrogen atom in the n=2...Ch. 30 - Show that (13.6eV)/hc=1.097107m=R (Rydberg's...Ch. 30 - What is the smallest-wavelength line in the Balmer...Ch. 30 - Show that the entire Paschen series is in the...Ch. 30 - Do the Balmer and Lyman series overlap? To answer...Ch. 30 - (a) Which line in the Balmer series is the first...Ch. 30 - A wavelength of 4.653 m is observed in a hydrogen...Ch. 30 - A singly ionized helium ion has only one electron...Ch. 30 - A beryllium ion with a single electron (denoted...Ch. 30 - Atoms can be ionized by thermal collisions, such...Ch. 30 - Verify Equations rn=n2ZaB and...Ch. 30 - The wavelength of the four Balmer series lines for...Ch. 30 - (a) What is the shortest-wavelength x-ray...Ch. 30 - A color television tube also generates some x rays...Ch. 30 - An x ray tube has an applied voltage of 100 kV....Ch. 30 - The maximum characteristic x-ray photon energy...Ch. 30 - What are the approximate energies of the K and K...Ch. 30 - Figure 30.39 shows the energy-level diagram for...Ch. 30 - A helium-neon laser is pumped by electric...Ch. 30 - Ruby lasers have chromium atoms doped in an...Ch. 30 - (a) What energy photons can pump chromium atoms in...Ch. 30 - Some of the most powerful lasers are based on the...Ch. 30 - If an atom has an electron in the n=5 state with...Ch. 30 - An atom has an electron with m1=2. What is the...Ch. 30 - What are the possible values of m1 for an electron...Ch. 30 - What, if any, constraints does a value of ml=1...Ch. 30 - (a) Calculate the magnitude of the angular...Ch. 30 - (a) What is the magnitude of the angular momentum...Ch. 30 - Repeat Exercise 30.40 for l=3.Ch. 30 - (a) How many angles can L make with the z-axis for...Ch. 30 - What angles can the spin S of an electron make...Ch. 30 - (a) How many electrons can be in the n=4 shell?...Ch. 30 - (a) What is the minimum value of 1 for a subshell...Ch. 30 - (a) If one subshell of an atom has 9 electrons in...Ch. 30 - (a) List all possible sets of quantum numbers...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - (a) Using the Pauli exclusion principle and the...Ch. 30 - Integrated Concepts Estimate the density of a...Ch. 30 - Integrated Concepts The electric and magnetic...Ch. 30 - (a) What is the distance between the slits of a...Ch. 30 - Integrated Concepts A galaxy moving away from the...Ch. 30 - Integrated Concepts Calculate the velocity of a...Ch. 30 - Integrated Concepts In a Millikan oil-drop...Ch. 30 - Integrated Concepts What double-slit separation...Ch. 30 - Integrated Concepts In a laboratory experiment...Ch. 30 - Integrated Concepts Find the value of l, the...Ch. 30 - Integrated Concepts Particles called muons exist...Ch. 30 - Integrated Concepts Calculate the minimum amount...Ch. 30 - Integrated Concepts A carbon dioxide laser used in...Ch. 30 - Integrated Concepts Suppose an MRI scanner uses...Ch. 30 - Integrated Concepts (a) An excimer laser used for...Ch. 30 - Integrated Concepts A neighboring galaxy rotates...Ch. 30 - Integrated Concepts A pulsar is a rapidly spinning...Ch. 30 - Integrated Concepts Prove that the velocity of...Ch. 30 - Unreasonable Results (a) What voltage must be...Ch. 30 - Unreasonable Results A student in a physics...Ch. 30 - Construct Your Own Problem The solar corona is so...Ch. 30 - Construct Your Own Problem Consider the...
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