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{"ops":[{"insert":"Consider particles with spin 1 and magnetic moment \u00b50. In this case, the magnetic moment component along any specified direction can take three values: +\u00b50, 0, \u2212\u00b50. The probabilities for corresponding values can be written as: C \u00b7f (for +\u00b50), C (for 0) and C\/f (for \u2212\u00b50), where f is a known function of the magnetic field, temperature, and \u00b50.\na) Determine the fa tor C in terms of f . \nb) For one particle determines (in terms of f and \u00b50) the mean value \u00b5\u00af and the standard deviation \u03b4\u00b5 if \u00b5 denotes the component of the magnetic moment along with the specified axis. \nc) Determine the mean value M\u00af and the standard deviation \u03b4M if M denotes the total magnetic moment component along with the specified direction for an ideal system of N particles (the interaction of magnetic moments can be neglected). Express the results in terms of N, f, \u00b50.\u00a0\n"}]}
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