17th Edition

ISBN: 9781938168185

Author: William Moebs, Jeff Sanny

Publisher: OpenStax

Concept explainers

Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:

Isotopes of Hydrogen Atoms

To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of t…

Mass of Hydrogen Atom

Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is …

Textbook Question

Chapter 8, Problem 19CQ

How do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun?

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Chapter 8, Problem 18CQ

Chapter 8, Problem 20CQ

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The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.

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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