Q1. Explain the concept of microstate, macrostate and the most probable macrostate on the basis of the results obtained when throwing two identical 6-sided dice, each with the numbers 1-6 written on their faces. Identify the macrostates having zero entropy.
An isolated system consists of 10 particles distributed among three two-fold degenerate energy levels labelled 1, 2, 3, such that the energies of the levels are εā= 2 eV, εā= 3 eV, εā= 4 eV, and their occupation numbers are Nā = 4, Nā = 3, Nā = 3. (a) If the occupation number of level 1 decreases by 2, find the new occupation numbers of levels 2 and 3. (b) Find the thermodynamic probabilities and entropies of the new macrostate, if the particles are (i) distinguishable, (ii) indistinguishable.