19) Silver has a Fermi level (energy) of 5.5 eV. At 0 K, at what speed would the electrons be moving if they had kinetic energy equal to the Fermi energy? (This speed is known as the Fermi speed.) (^mel = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

Question

Quizplus · Accepted Answer

The Fermi speed can be calculated using the formula v_F = sqrt(2 * E_F / m_e). Converting the Fermi energy from eV to Joules gives E_F = 5.5 eV * 1.60 × 10^-19 J/eV = 8.8 × 10^-19 J. Plugging in the values, v_F = sqrt(2 * 8.8 × 10^-19 J / 9.11 × 10^-31 kg) ≈ 1.4 × 10^6 m/s = 1400 km/s.

19) Silver Has a Fermi Level (Energy) of 5