A particle in a one-dimensional box is in the first excited state (n = 2). (a) Sketch

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A particle in a one-dimensional box is in the first excited state (n = 2).

(a) Sketch Ψ2(x) versus x for this state.

(b) What is the expectation value (x) for this state?

(c) What is the probability of finding the particle in some small region dx centered at x =

(d) Are your answers for (b) and (c) contradictory? If not, explain.

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