Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Physical Sciences Thermodynamic and Statistical Physics Laws of Thermodynamics and Their Consequences
The energy levels of a system, which is in equilibrium at temperature T = 1/(kBβ), are 0, ϵ and 2ϵ. If two identical bosons occupy these energy levels, the probability of the total energy being 3ϵ, is
1
\(\frac{e^{-3\beta\epsilon}}{1+e^{-\beta\epsilon}+e^{-2\beta\epsilon}+e^{-3\beta\epsilon}+e^{-4\beta\epsilon}}\)
2
\(\frac{e^{-3\beta\epsilon}}{1+2e^{-\beta\epsilon}+2e^{-2\beta\epsilon}+e^{-3\beta\epsilon}+e^{-4\beta\epsilon}}\)
3
\(\frac{e^{-3\beta\epsilon}}{e^{-\beta\epsilon}+2e^{-2\beta\epsilon}+e^{-3\beta\epsilon}+e^{-4\beta\epsilon}}\)
4
\(\frac{e^{-3\beta\epsilon}}{1+e^{-\beta\epsilon}+2e^{-2\beta\epsilon}+e^{-3\beta\epsilon}+e^{-4\beta\epsilon}}\)
5
Question Not Attempted