In Problem 14, we find that the particle in a box is not a good model for the electron in a hydrogen atom. As it turns out, the particle in a box is a reasonable first approximation for a model for the protons in the nucleus. Work with your group to show this as follows. Imagine a proton confined in an infinitely high square well of length 10.0 fm, a typical nuclear diameter. Assuming the proton makes a transition from the n = 2 state to the ground state, calculate (a) the energy and (b) the wavelength of the emitted photon. (c) Identify the region of the electromagnetic spectrum to which this wavelength belongs.
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