Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Thermodynamic and Statistical Physics
Consider a system of N non-interacting spin 1/2 particles, each having a magnetic moment \(\mu \), is in magnetic field \(B \hat{z} \). If E is the total energy of the system , the number of accessible microstates \(\Omega \) is given as:
1
\(\Omega = \frac{N !}{\frac{1}{2} (N-\frac{E}{\mu B})! \frac{1}{2} (N+\frac{E}{\mu B})! } \)
2
\(\Omega = \frac{(N-\frac{E}{\mu B})! }{ (N+\frac{E}{\mu B})! } \)
3
\(\Omega = \frac{1}{2} (N-\frac{E}{\mu B})! \times \frac{1}{2} (N+\frac{E}{\mu B})! \)
4
\(\Omega = N ! \)