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cse • paper_1 • thermal_physicscse-1997-subject-04-004

Maxwell–Boltzmann distribution — UPSC CSE 1997 Physics PYQ

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Show the distribution of velocities for temperatures \text{T}_1, \text{T}_2 and \text{T}_3 (\text{T}_1 > \text{T}_2 > \text{T}_3) of gas molecules according to the Maxwell-Boltzmann law. Using this law prove that the most probable velocity is \sqrt{2/3} times the root-mean-square velocity.

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