University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 8, Problem 34P
Coulomb's force law states that the force between two charged particles is:
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81. Take the derivative of the Lennard–Jones potential to express the force exerted on one atom by another as a function of the distance R between them. Calculate the forces (in joules per meter) on a pair of interacting argon atoms at distances of 3.0, 3.4, 3.8, and 4.2 × 10210 m. To calculate the direction of the force on each atom, assume that one Ar atom is at the origin and the other argon atom is at the coordinates (23.0 Å, 0), (23.4 Å, 0), (23.8 Å, 0), and (24.2 Å, 0). Calculate the vector components Fx and Fy for the force F5 (Fx, Fy) on the argon atom at the origin (particle 1 in the solutions) and the vector components for the force on the other atom (particle 2 in the solution), showing explicitly what you are using for the unit vector ˆ21 r or the unit vector ˆ12 r . (Hint: Use Eq. 3.4, but with the correct V(R).) Is the force
The Bohr radius ao is the most probable distance between the proton and the electron in the Hydrogen atom, when the
Hydrogen atom is in the ground state. The value of the Bohr radius is: 1 ao = 0.529 angstrom. One angstrom is 10-10
m. What is the electric potential produced by the proton at a distance of 1.12 Bohr radius away from the proton?
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What is the potential energy of the proton-electron system when they are at this distance from each other?
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The distance, r, between the proton
and electron in the hydrogen atom is
about 10-10 m.
Determine the value of the potential
energy U of the electron in the
hydrogen atom. Provide your answer
in electron-volts (eV). Recall
1 eV = 1.6 × 10-19 J.
Answer:
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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. 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