Consider a particle in a box with rigid walls at x = 0 and x = L.

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Consider a particle in a box with rigid walls at x = 0 and x = L. Let the particle be in the ground level. Calculate the probability | ψ |2 dx that the particle will be found in the interval x to x + dx for
(a) x = L/4;
(b) x = L/2;
(c) x = 3L/4.
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