Problem 3: (30 pts.) A newly-discovered atom X is reported to have its lowest three energy levels as shown in the figure

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Problem 3 30 Pts A Newly Discovered Atom X Is Reported To Have Its Lowest Three Energy Levels As Shown In The Figure 1 (74.89 KiB) Viewed 54 times

Problem 3: (30 pts.) A newly-discovered atom X is reported to have its lowest three energy levels as shown in the figure. You are studying this atom by bombarding it with alpha particles and looking at the emission spectrum. The mass of an alpha particle is 6.65 x 10-27 kg, and the charge of an alpha particle is +2e. An alpha particle is accelerated by a pair of parallel plates of arca 0.250 mº, separated by a distance 0.0130 m, and charged to a potential difference of 8.60 V. An alpha particle is released from rest next to the positive plate, and accelerated towards the negative plate. When it reaches the negative plate, the particle passes through a small hole in the plate and then continues with the same energy until it collides with an atom of element X. After the collision, the alpha particle is observed to have kinetic energy 11.3eV, and the atom is observed to emit visible light with a wavelength of 620.0 nm. (Your equipment does not allow you to measure any light outside the visible spectrum.) What is the energy level Ex? (For this problem, assume those three energy levels are the only possible energy levels for this atom, and that the atom is normally in the lowest energy level, or ground state. Also, assume that atom X is sufficiently heavy that its recoil is negligible and the kinetic energy of X remains zero throughout. These are the same assumptions we made in class.) You should also assume that the spacing between levels 1 and 2 is greater than the spacing between levels 2 and 3, as is indicated on the diagram. (Again, this is consistent with what we saw for the Bohr model of the hydrogen atom.) Important: Explain your reasoning carefully. You can still carn substantial partial credit for a correct approach to parts of this problem even if your specific numerical values are incorrect. Ar