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1. An electron is confined to a region of size 0.15 nm (i.e., infinite potential walls...

1. An electron is confined to a region of size 0.15 nm (i.e., infinite potential walls at either end). (a) (5 pts) What is the ground state energy in eV? (b) (5 pts) The electron falls from the 5th excited state to the 3rd excited state, emitting a photon in the process. What is the wavelength of the photon in nm?

2. Refer to the previous problem. (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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