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Consider two isolated systems of non-interacting spins with NA = 4 and NB = 16 spins,...

Consider two isolated systems of non-interacting spins with NA = 4 and NB = 16 spins, respectively. Each spin has a magnetic moment µ that can point either up or down. The energies are simply the sums over the oriented magnetic moments and the initial energies are EA = −2µ and EB = −2µ. 1. What is the total number of microstates available to the composite system? 2. If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA? 3. What is the mean value EA?

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