Answer to Question #167554 in Physics for cyrus mohanty

Question

Consider particles with spin 1 and magnetic moment µ0. In this case, the magnetic moment component along any specified direction can take three values: +µ0, 0, −µ0. The probabilities for corresponding values can be written as: C ·f (for +µ0), C (for 0) and C/f (for −µ0), where f is a known function of the magnetic field, temperature, and µ0.

a) Determine the fa tor C in terms of f .

b) For one particle determines (in terms of f and µ0) the mean value µ¯ and the standard deviation δµ if µ denotes the component of the magnetic moment along with the specified axis.

c) Determine the mean value M¯ and the standard deviation δM 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, µ0. 

Answer 1

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