Suppose there is a gas consisting of spin -½ atoms with a density of n atoms per unit volume. Each atom has an intrinsic magnetic moment μ and the interactions between atoms are negligible. Assume that the system obeys classical statistical rules. a) What is the probability of finding an atom with μ parallel to the magnetic field H at absolute temperature T? b) What is the probability of finding an atom with μ antiparallel to the magnetic field H at absolute temperature T?

Suppose there is a gas consisting of spin -½ atoms with a density of n atoms per unit volume. Each atom has an intrinsic magnetic moment μ and the interactions between atoms are negligible. Assume that the system obeys classical statistical rules. a) What is the probability of finding an atom with μ parallel to the magnetic field H at absolute temperature T? b) What is the probability of finding an atom with μ antiparallel to the magnetic field H at absolute temperature T?

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