A particle is described by the wave function where L = 2.0 mm. a. Sketch graphs of

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A particle is described by the wave function

SceL V(x) = x < 0 mm x 2 0 mm

where L = 2.0 mm.

a. Sketch graphs of both the wave function and the probability density as functions of x.

b. Determine the normalization constant c.

c. Calculate the probability of finding the particle within 1.0 mm of the origin.

d. Interpret your answer to part b by shading the region representing this probability on the appropriate graph in part a.

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