Consider a system of N free particles in which the energy of each particle can assume two and only two distinct values, 0 and E (E > 0). Denote by nɔ and n the occupation numbers of the energy level 0 and E, respectively. The total energy of the system is U. (a) Find the entropy of such a system. (b) Find the most probable values of no and n¡, and find the mean square fluctuations of

Consider a system of N free particles in which the energy of each particle can assume two and only two distinct values, 0 and E (E > 0). Denote by nɔ and n the occupation numbers of the energy level 0 and E, respectively. The total energy of the system is U. (a) Find the entropy of such a system. (b) Find the most probable values of no and n¡, and find the mean square fluctuations of