Question

The Fermi temperature of a metal is 24600K. Calculate the Fermi velocity.

(a) 0.5m/s

(b) 1.38m/s

(c) 0.8633×10^6m/s

(d) 9.11×10^-3m/s

This question was posed to me in quiz.

My doubt is from Free Electron Theory in section Semiconductors of Engineering Physics II

Answer 1

Right answer is (c) 0.8633×10^6m/s

Easy explanation: EF = KB TF = ^1⁄2 \(mv_F^2\)

vF = \(\sqrt{\frac{2×K_B×T_F}{m}}\)

vF = 0.8633×10^6m/s.