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Free-Electron Theory of Metals: the Fermi Energy of Rubidium at a Temperature

Question 22

Multiple Choice

Free-electron theory of metals: The Fermi energy of rubidium at a temperature of 5 K is 1.85 eV. An electron state in rubidium is 0.007 eV above the Fermi level. What is the probability that this state is occupied at a temperature of 9K? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, Boltzmann constant = 1.38 ∙ 10-23 J/K, 1 eV = 1.60 × 10-19 J)


A) 1 × 10-4
B) 2 × 10-5
C) 5 × 10-6
D) 1 × 10-6
E) 2 × 10-7

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