Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 41, Problem 13P
To determine

To calculate:

(a) the energy of the energy level whose probability of being occupied by an electron is 0.90.

(b) for the energy in (a), the density of state N(E).

(c) for the energy in (a), the density of occupied state N0(E)

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The Fermi energy of copper at 300 K is 7.05 eV. (a) What is the average energy of a conduction electron in copper at 300 K? (b) At what temperature would the average translational energy of a molecule in an ideal gas be equal to the energy calculated in part (a)?
The Fermi energy for copper is EF = 7.00 eV. For copper at T = 1020 K, (a) find the energy of the energy level whose probability of being occupied by an electron is 0.911. For this energy, evaluate (b) the density of states N(E) and (c) the density of occupied states No(E).
10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(E) = constant = D ɛ>0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.
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