FIGURE P39.31 shows the wave function of a particle confined between x = 0 nm and x = 1.0 nm. The wave function is zero outside this region.

a. Determine the value of the constant c, as defined in the figure.b. Draw a graph of the probability density P(x) = |ψ(x)|².c. Draw a dot picture showing where the first 40 or 50 particles might be found.d. Calculate the probability of finding the particle in the interval 0 nm ?? x ?? 0.25 nm.

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(x) x (nm) FIGURE P39.31