Free-Electron Theory of Metals: a Metal Has a Fermi Level

Multiple Choice

Free-electron theory of metals: A metal has a Fermi level (energy) of 5.50 eV. At 1200 K, what energy will have a 90% occupancy probability? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, Boltzmann constant = 1.38 × 10^-23, 1 eV = 1.60 × 10^-19 J)

A) 5.79 eV
B) 5.73 eV
C) 5.56 eV
D) 5.44 eV
E) 5.27 eV