10) Consider a particle trapped inside a box containing two regions, region A and region B....
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10) Consider a particle trapped inside a box containing two regions, region A and region B. Region A has twice the volume of region B. When the particle is in region A, the system energy is U and when the particle is region B the energy is 2U. Assume that U > 0. a) If the system is held at temperature T, derive the expression for the probability of finding the particle in region A. b)What is the probability of finding the particle in region A at zero temperature? c) What is the probability of finding the particle in region A at infinite temperature? 10) Consider a particle trapped inside a box containing two regions, region A and region B. Region A has twice the volume of region B. When the particle is in region A, the system energy is U and when the particle is region B the energy is 2U. Assume that U > 0. a) If the system is held at temperature T, derive the expression for the probability of finding the particle in region A. b)What is the probability of finding the particle in region A at zero temperature? c) What is the probability of finding the particle in region A at infinite temperature?
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