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Microstate and Macrostate - Statistical Mechanics - Past Exam

Exams, Statistics

Post: February 26th, 2013
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This is the Past Exam of Statistical Mechanics which includes Reciprocal Lattice Vector, Primitive Translation Vectors, Miller Indices, Cartesian Unit Vectors, Volume of Unit Cell, Equilibrium Distance, Angular Frequency, Optical Vibration etc. Key important points are: Microstate and Macrostate, Corresponding Microstates, Number of Microstates, Non-Degenerate Energy Level, Normalization Constant, Particle Partition Function, Internal Energy, Boltzmann Constant
This is the Past Exam of Statistical Mechanics which includes Reciprocal Lattice Vector, Primitive Translation Vectors, Miller Indices, Cartesian Unit Vectors, Volume of Unit Cell, Equilibrium Distance, Angular Frequency, Optical Vibration etc. Key important points are: Microstate and Macrostate, Corresponding Microstates, Number of Microstates, Non-Degenerate Energy Level, Normalization Constant, Particle Partition Function, Internal Energy, Boltzmann Constant
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KEELE UNIVERSITY DEGREE EXAMINATIONS 2008 Level 2 (PRINCIPAL COURSE) Friday 16th May 2008, 09:30 – 11:30 PHYSICS PHY-20026 STATISTICAL MECHANICS AND SOLID STATE PHYSICS Candidates should attempt to answer FOUR questions, TWO from section A and TWO from section B of the paper. Tables of physical and mathematical data may be obtained from the invigilator. /Cont’d 1 SECTION A: STATISTICAL MECHANICS (Answer TWO questions) 1. (a) Explain the meaning of microstate and macrostate. As an example, give one macrostate of the “tossing a coin three times” system, and write down all corresponding microstates. [10] (b) Explain why the expression N! ni ! gives the number of microstates for a given macrostate with ni particles in the non-degenerate energy level Ei . [10] Ω= (c) Which macrostate will be observed in a real system? (d) Starting with the above expression for Ω, derive the expression ni = A exp (−βEi ) for the number of particles in the energy level Ei . (e) For the fol..

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