Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Thermodynamic and Statistical Physics
The mean square fluctuations in energy for a system composed of N distinguishable particles with two energy levels ε1 and ε2 with degeneracy g1 and g2 respectively in thermal equilibrium at temperature T are given by
1
\(N\frac{g_1\varepsilon _1+g_2\varepsilon _2e^{-\frac{\Delta }{kT}}}{g_1+g_2e^{-\frac{\Delta }{kT}}}\)
2
\(\frac{N}{kT^2}\frac{g_1\varepsilon _1+g_2\varepsilon _2e^{-\frac{\Delta }{kT}}}{\left(g_1+g_2e^{-\frac{A}{kT}}\right)^2}\)
3
\(\frac{N}{kT^2}\frac{g_1g_2\Delta ^2e^{-\frac{\Delta }{kT}}}{\left(g_1+g_2e^{-\frac{\Delta }{kT}}\right)^2}\)
4
\(N\frac{g_1g_2\Delta ^2e^{-\frac{A}{kT}}}{\left(g_1+g_2e^{-\frac{\Delta }{kT}}\right)^2}\)