and carrying a magnetic moment The system is immersed in a magnetic 90 The ideas...

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and carrying a magnetic moment The system is immersed in a magnetic 90 The ideas of statistical mechanics induction field B Each particle may then exist in one of the two energy states a spin down state of energy B and a spin up state of energy B Treat the particles as being distinguishable Derive a formula for the entropy in terms of the number of particles in the upper state n Sketch S n Find the value of n for which S n is a max imum What is the relation between S and the temperature By treating the energy as a continuous variable show that the system can have nega tive temperatures If a system with a negative temperature makes thermal contact with one with a positive temperature which way will the heat flow

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