this is a question about thermal physics the answer is 5A an

this is a question about thermal physics, the answer is 5(A) and 6(B), but I cant get it, I need some explaination.

Consider a quantiun state with a non-degenerate spectrum, in equilibrium with a thermal reservoir with temperatur Tand clemicel potentiaEach series of diagrams below shows snapshots, taken at difierent tiues, oindistinquis hableparticles occupying 1-particle slates. For each series, idetify whether the particles are bosoic, fernionic, or could be either, and whether the teuperatu or on the order of the energy spacing e.

Solution

5A. They are Bosonic as multiple Bosons can occupy ground states where as fermions cannot due to Pauli Exclusion principle. The temperature for such cases is KT of the order of the spacing.