Calculate the average distance of the particle from origin at a fixed temperature
Calculate the average distance of the particle from origin at a fixed temperature
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Solve the question mentioning each step using concept of statistical mechanics:
Consider a particle confined in the region x ≥ 0. The potential energy in this region
is given by the formula U = U0x, where U0 is a constant. Calculate the average
distance of the particle from origin at a fixed temperature (Hint: x is a continuous
variable. Convert the summation of partition function into an integral.)
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