University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 8, Problem 45P
For a 3d electron in an external magnetic field of 2.50 × 10-3 T, find (a) the current associated with the orbital
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How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7?
A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?
a) How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7?
b)Calculate the smallest possible angle the L can make with respect to the vertical axis. (Hint: The smallest angle occurs when ml takes the maximum allowed value. Sketch L in that case and compare the vertical component, which is related to ml, to the magnitude of L, which is related to l.)
Chapter 8 Solutions
University Physics Volume 3
Ch. 8 - Check Your Understanding Can the magnitude of...Ch. 8 - Check Your Understanding If the Stem-Gerlach...Ch. 8 - Check Your Understanding X-rays are produced by...Ch. 8 - Identify the physical significance of each of the...Ch. 8 - Describe the ground state of hydrogen in terms of...Ch. 8 - Distinguish between Bohr’s and Schiödinger’s model...Ch. 8 - Explain why spectral lines of the hydrogen atom...Ch. 8 - A hydrogen atom is placed in a magnetic field....Ch. 8 - On what factors does the orbital magnetic dipole...Ch. 8 - Explain how a hydrogen atom in the ground state (l...
Ch. 8 - Compare orbital angular momentum with spin angular...Ch. 8 - List all the possible values of s and msfor an...Ch. 8 - Are the angular momentum vectors L necessarily S...Ch. 8 - What is spin-orbit coupling?Ch. 8 - What is Pauli's exclusion principle? Explain the...Ch. 8 - Compare the electron configurations of the...Ch. 8 - Compare the electron configurations of the...Ch. 8 - Atomic and molecular spectra are discrete. What...Ch. 8 - Discuss the process of the absorption of light by...Ch. 8 - NGC1763 is an emission nebula in the Large...Ch. 8 - Why are X-rays emitted only for electron...Ch. 8 - How do the allowed orbits for electrons in atoms...Ch. 8 - Distinguish between coherent and monochromatic...Ch. 8 - Why is a metastable state necessary for the...Ch. 8 - How does light from an incandescent light bulb...Ch. 8 - How is a Blu-Ray player able to read more...Ch. 8 - What are the similarities and differences between...Ch. 8 - The wave function is evaluated at rectangular...Ch. 8 - If an atom has an election in the n = 5 state with...Ch. 8 - What are the possible values of m for an electron...Ch. 8 - What, if any, constraints does a value of m = 1...Ch. 8 - What are the possible values of m for an electron...Ch. 8 - (a) How many angles can L make with the z-axis for...Ch. 8 - The force on an electron is “negative the gradient...Ch. 8 - What is the total number of states with orbital...Ch. 8 - The wave function is evaluated at spherical...Ch. 8 - Coulomb's force law states that the force between...Ch. 8 - Write an expression for the total number of states...Ch. 8 - Consider hydrogen in the ground state, 100 . (a)...Ch. 8 - What is the probability that the is electron of a...Ch. 8 - How many polar angles are possible for an electron...Ch. 8 - What is the maximum number of orbital angular...Ch. 8 - What is the maximum number of orbital angular...Ch. 8 - Find die magnitude of the orbital magnetic dipole...Ch. 8 - A current of I = 2A flows through a square-shaped...Ch. 8 - Estimate the ratio of the electron magnetic moment...Ch. 8 - Find die magnitude of the orbital magnetic dipole...Ch. 8 - For a 3d electron in an external magnetic field of...Ch. 8 - An electron in a hydrogen atom is in the n = 5, l...Ch. 8 - Find the minimum torque magnitude that acts on...Ch. 8 - An election in a hydrogen atom is in 3p state....Ch. 8 - Show that U=B . (Hint: An infinitesimal amount of...Ch. 8 - What is the magnitude of the spin momentum of an...Ch. 8 - What are the possible polar orientations of the...Ch. 8 - For n = 1, write all the possible sets of quantum...Ch. 8 - A hydrogen atom is placed in an external uniform...Ch. 8 - If the magnetic field in the preceding problem is...Ch. 8 - If the magnetic moment in the preceding problem is...Ch. 8 - For n = 2, write all the possible sets of quantum...Ch. 8 - (a) How many electrons can be in the n = 4 shell?...Ch. 8 - (a) What is the minimum value of l for a subshell...Ch. 8 - Unreasonable result. Which of die following...Ch. 8 - Write the electron configuration for potassium.Ch. 8 - Write the election configuration for iron.Ch. 8 - The valence election of potassium is excited to a...Ch. 8 - (a) If one subshell of an atom has nine electrons...Ch. 8 - Write the electron configuration for magnesium.Ch. 8 - Write the electron configuration for carbon.Ch. 8 - The magnitudes of the resultant spins of the...Ch. 8 - What is the minimum frequency of a photon required...Ch. 8 - The ion Li2+ makes ail atomic transition from ail...Ch. 8 - The red light emitted by a ruby laser has a...Ch. 8 - The yellow light from a sodium-vapor street lamp...Ch. 8 - Estimate the frequency of the KaX-ray from cesium.Ch. 8 - Estimate the frequency of the K X-ray from cesium.Ch. 8 - X-rays are produced by striking a target with a...Ch. 8 - For the preceding problem, what happens to the...Ch. 8 - Suppose the experiment in the preceding problem is...Ch. 8 - An X-ray tube accelerates an electron with an...Ch. 8 - A color television tube generates some X-rays when...Ch. 8 - An X-ray tube has an applied voltage of 100 kV....Ch. 8 - The maximum characteristic X-ray photon energy...Ch. 8 - What are the approximate energies of the K and...Ch. 8 - Compare the X-ray photon wavelengths for copper...Ch. 8 - The approximate energies of the K and K X-rays for...Ch. 8 - A carbon dioxide laser used in surgery emits...Ch. 8 - An excimer laser used for vision correction emits...Ch. 8 - For a hydrogen atom in an excited state with...Ch. 8 - What is the probability that the Is electron of...Ch. 8 - Sketch the potential energy function of an...Ch. 8 - Find the value of l, the orbital angular momentum...Ch. 8 - Show that the maximum number of orbital angular...Ch. 8 - What is the magnitude of an electron magnetic...Ch. 8 - What is the maximum number of electron states n =...Ch. 8 - A ground-state hydrogen atom is placed in a...Ch. 8 - Show that the maximum number of electron states...Ch. 8 - The valence election of chlorine is excited to a...Ch. 8 - Which of the following notations are allowed (that...Ch. 8 - The ion Be3+ makes an atomic transition from an n...Ch. 8 - The maximum characteristic X-ray photon energy...Ch. 8 - Derive an expression for the ratio of X-ray photon...Ch. 8 - Compare the X-ray photon wavelengths for copper...Ch. 8 - (a) What voltage must be applied to an X-ray tube...Ch. 8 - A student in a physics laboratory observes a...
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