A Carbon-12 nucleus has a number of internal energy levels that correspond to different orbital congurations of protons and neutrons inside of it. These energy levels are shown in Figure 6.21. Suppose...

A Carbon-12 nucleus has a number of internal energy levels that correspond to different orbital congurations of protons and neutrons inside of it. These energy levels are shown in Figure 6.21. Suppose that a Carbon-12 nucleus in an excited state emits a gamma ray from the highest energy level shown and then transitions itself to its most stable state, which corresponds to the lowest energy shown. Part 1: What is the energy of the gamma ray that is emitted in this process? Part 2: Suppose that the gamma ray then collides with the nucleus of a hydrogen atom and is subsequently absorbed. What velocity does the hydrogen nucleus recoil away from this reaction? You may assume in this case that the collision with the hydrogen atom is an elastic one. Part 3: Suppose that the hydrogen nucleus subsequently decides to emit another gamma ray with 10% of the energy of the original gamma ray. What is the frequency and the wavelength of the emitted gamma ray in this case?