Question Bank NAT • 2 Marks Section 5: Thermodynamics & Statistical Physics Bose-Einstein and Fermi-Dirac statistics

QB_PH_140: Bose-Einstein and Fermi-Dirac statistics

Question Statement

For copper ($E_F = 7.0\text{ eV}, m = 9.1 \times 10^{-31}\text{ kg}$), the Fermi velocity $v_F = \sqrt{2 E_F / m}$ in units of $10^6\text{ m/s}$ is (rounded to two decimal places):
Correct Answer
1.55, 1.59
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $v_F = \sqrt{\frac{2 \times 7 \times 1.6 \times 10^{-19}}{9.1 \times 10^{-31}}} \approx 1.57 \times 10^6\text{ m/s}$.
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