Question: (3) Consider a particle confined in a box that extends from x=0 to x=L. (i) Sketch the probability densities for the first five quantum states

(3) Consider a particle confined in a box that extends from

(3) Consider a particle confined in a box that extends from x=0 to x=L. (i) Sketch the probability densities for the first five quantum states of the above particle. (ii) Based on your sketches, can you guess the value of n for which there is exactly a 25% probability of finding the particle somewhere in the range 0xL/4 ? (iii) Confirm your guess by calculating the probability of finding the particle within the range 0xL/4 for that value of n

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