Csir June 2012 Statistical Mechanics PYQ | Q NO 60 | Harmonic Oscillator Partition Function 

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A system has Two normal modes of vibration with frequencies w1 and w2 = 2w1, what is the probability that at temperature T, the system has an energy less than 4hw1? the partition function of the system,
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Csir June 2012 Statistical Mechanics PYQ | Q NO 60 | Harmonic Oscillator Partition Function