The relative population in two states with energies $E_{1}$ and $E_{2}$ satisfying Boltzmann distribution is given by $n_{1} / n_{2}=(3 / 2) \exp \left[-\left(E_{1}-E_{2}\right) / k_{b} T\right]$. The relative degeneracy $g_{2} / g_{1}$ is:
(a)2
(b)2/3
(c)$3 / 2$
(d)3
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
n₁/n₂ = (g₁/g₂)e^(−ΔE/kT), so g₁/g₂ = 3/2 and g₂/g₁ = 2/3 (b).