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An electron is confined to a region of size 0.15 nm. Has a ground state energy...

An electron is confined to a region of size 0.15 nm. Has a ground state energy of 16.62eV.

(a) (4 pts) When the electron is in the 5th excited state, at how many places inside the region is the probability for finding the electron zero? (b) (4 pts) Assume that the electron is in the ground state. What is the probability for finding the particle in the middle 25% of the region? (c) (2 pts) If the potential walls were not infinitely high, how would that affect the energy of the ground state? Explain.

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