Skip to ContentGo to accessibility page
OpenStax Logo
University Physics Volume 3

Additional Problems

University Physics Volume 3Additional Problems

Additional Problems

83.

Potassium fluoride (KF) is a molecule formed by an ionic bond. At equilibrium separation the atoms are r0=0.255nmr0=0.255nm apart. Determine the electrostatic potential energy of the atoms. The electron affinity of F is 3.40 eV and the ionization energy of K is 4.34 eV. Determine dissociation energy. (Neglect the energy of repulsion.)

84.

For the preceding problem, sketch the potential energy versus separation graph for the bonding of K+andFl−K+andFl− ions. (a) Label the graph with the energy required to transfer an electron from K to Fl. (b) Label the graph with the dissociation energy.

85.

The separation between hydrogen atoms in a H2H2 molecule is about 0.075 nm. Determine the characteristic energy of rotation in eV.

86.

The characteristic energy of the Cl2Cl2 molecule is 2.95×10−5eV2.95×10−5eV. Determine the separation distance between the nitrogen atoms.

87.

Determine the lowest three rotational energy levels of H2.H2.

88.

A carbon atom can hybridize in the sp2sp2 configuration. (a) What is the angle between the hybrid orbitals?

89.

List five main characteristics of ionic crystals that result from their high dissociation energy.

90.

Why is bonding in H2+H2+ favorable? Express your answer in terms of the symmetry of the electron wave function.

91.

Astronomers claim to find evidence of He2He2 from light spectra of a distant star. Do you believe them?

92.

Show that the moment of inertia of a diatomic molecule is I=μr02I=μr02, where μμ is the reduced mass, and r0r0 is the distance between the masses.

93.

Show that the average energy of an electron in a one-dimensional metal is related to the Fermi energy by E−=12EF.E−=12EF.

94.

Measurements of a superconductor’s critical magnetic field (in T) at various temperatures (in K) are given below. Use a line of best fit to determine Bc(0).Bc(0). Assume Tc=9.3K.Tc=9.3K.

T (in K) Bc(T)Bc(T)
3.0 0.18
4.0 0.16
5.0 0.14
6.0 0.12
7.0 0.09
8.0 0.05
9.0 0.01
Table 9.6
95.

Estimate the fraction of Si atoms that must be replaced by As atoms in order to form an impurity band.

96.

Transition in the rotation spectrum are observed at ordinary room temperature (T=300KT=300K). According to your lab partner, a peak in the spectrum corresponds to a transition from the l=4l=4 to the l=1l=1 state. Is this possible? If so, determine the momentum of inertia of the molecule.

97.

Determine the Fermi energies for (a) Mg, (b) Na, and (c) Zn.

98.

Find the average energy of an electron in a Zn wire.

99.

What value of the repulsion constant, n, gives the measured dissociation energy of 158 kcal/mol for CsCl?

100.

A physical model of a diamond suggests a BCC packing structure. Why is this not possible?

PreviousNext
Order a print copy
Citation/Attribution
Reuse and redistribution of this content in digital or print format:
  • This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's prior written permission.
  • This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License, which means that you can reuse and modify the material only for noncommercial purposes, must attribute OpenStax, and must distribute any derivative works under the same license.
  • Any commercial printing of this textbook, including using a local or custom printer, must be approved by OpenStax, and proper citation provided.
  • OpenStax-copyrighted images, activities, assessments, and similar components of this book are subject to the same licensing – CC-BY-NC-SA. They can be used for noncommercial purposes with attribution. Commercial use requires permission.
  • Permission requests: Anyone who intends to incorporate this content (including text, images, and other components) into large language models, use it in AI offerings, use it commercially (including in print), and/or has questions about another use case is welcome to complete our reuse request form.
Attribution information
  • If you are redistributing all or part of this book in a noncommercial print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/university-physics-volume-3/pages/1-introduction

  • If you are redistributing all or part of this book in a noncommercial digital format, then for every page that includes OpenStax content, you must license the derivative work under the same CC-BY-NC-SA license as the original, and include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/university-physics-volume-3/pages/1-introduction

Citation information

The information below includes the information needed to generate citations in most major styles (APA, MLA, etc.); you must reformat and organize the information as needed to fit the requirements of the style. Use the information below to generate a citation. We recommend using a citation tool such as this one.

© Jun 11, 2026 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo, and Rice University name, and Rice University logo trademarks, or wordmarks are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.