This problem is related to the equipartition theorem. Consider a system in which the energy of a
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This problem is related to the equipartition theorem. Consider a system in which the energy of a particle is given by E = Au2, where A is a constant and u is any coordinate or momentum that can vary from - ∞ to + ∞.
(a) Write the probability of the particle having u in the range du and calculate the normalization constant C in terms of A.
(b) Calculate the average energy (E) = (Au2) and show that (E) = 1/2 kT.
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a b EIKT fu du Ce2 du Ce I du ...View the full answer
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