Question

An array of N 1D simple harmonic oscillators is set up with an average energy per oscillator of (m + 1/2)ħω. What is the entropy per oscillator?


(a) S/N = k_B ln(N)
(b) S/N = k_B [(1 + m) ln(1 + m) - m ln(m)]
(c) S/N = k_B [(m + 1/2) ln(m + 1/2) - (m - 1/2) ln(m - 1/2)]
(d) S/N = k_B (m + 1/2)
(e) S/N = k_B ln[(m + 1/2)]