Solved: A particle is in the ground level of a box that

Chapter 40, Problem 40.46

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A particle is in the ground level of a box that extends from x = 0 to x = L. (a) What is the probability of finding the particle in the region between 0 and L>4? Calculate this by integrating 0 c1x2 0 2 dx, where c is normalized, from x = 0 to x = L>4. (b) What is the probability of finding the particle in the region x = L>4 to x = L>2? (c) How do the results of parts (a) and (b) compare? Explain. (d) Add the probabilities calculated in parts (a) and (b). (e) Are your results in parts (a), (b), and (d) consistent with Fig. 40.12b? Explain

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