Silver has a Fermi energy E_F = 5.5 eV. Take m = 9.11 × 10⁻³…

Silver hаs а Fermi energy E_F = 5.5 eV. Tаke m = 9.11 × 10⁻³¹ kg and 1 eV = 1.602 × 10⁻¹⁹ J. (a) Using ½mv² = E_F, calculate the Fermi speed v_F. (b) A classical gas particle at 300 K wоuld have an average kinetic energy оf (3/2)kT = 0.0388 eV; calculate the speed cоrresponding to that energy the same way. (c) Compare the two speeds and explain in one or two sentences what the comparison reveals about why the classical electron gas model fails for metals. Show your work.