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University Physics Volume 3

Additional Problems

University Physics Volume 3Additional Problems

Additional Problems


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.)


For the preceding problem, sketch the potential energy versus separation graph for the bonding of K+andFlK+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.


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


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


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


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


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


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


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


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.


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


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

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


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.


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


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


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


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

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