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probability of finding the particle in the interval

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A particle is in the first excited state (n = 2) of a box of length L.
Find the probability of finding the particle in the interval deltax = 0.002 located at x = L/2 .

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It determines the probability of finding the particle in the interval of 0.002 given that the particle is in the first excited state. The solution is detailed and has a '5/5' rating.

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