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Some early theories on nuclear structure proposed that the nucleus contained a number of electrons. Suppose...

Some early theories on nuclear structure proposed that the nucleus contained a number of electrons. Suppose that this is true. Treat an electron in the nucleus as a 1-dimensional Particle in a Box that has a nuclear size. In other words, the width of the box is 1 x 10-14 m. What is the Energy of the Ground State(give your answer in MeV)?

What is the Energy of the First Excited State (give your answer in MeV)?

What is the Energy of the Photon that is emitted when an electron makes a transition from the first excited state to the ground state (give your answer in MeV)?

The typical energy of radioactive emissions from a nucleus (gamma rays, etc…) are on the order of 1 MeV. Based on the result for photon energy (above), can an electron can be inside the nucleus?

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