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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Modern Physics

ISBN: 9781429250788

6th Edition

Authors: Paul A. Tipler, Ralph Llewellyn

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