Below is a energy level scheme of a hypothetical one-electron element Mathematicum. The potential energy is taken to be zero for an electron at an infinite distance from the nucleus. The definition of the ground state is n = 1. What will happen to the atom if a photon of energy of 20 eV strikes a Mathematicum atom in its ground state? Explain. An 18-eV photon is absorbed by a Mathematicum atom in the ground state. As the atom returns to the ground state, what possible energies can the emitted photons have? Assume there can be transitions between all pairs of levels, including sub-transitions back to the ground state. What will happen to the atom if a photon of energy of 5 eV strikes a Mathematicum atom in its ground state? Explain. What will happen to the atom if a photon of energy of 15 eV strikes a Mathematicum atom in its ground state? Explain. Photons emitted in the Mathematicum transitions n = 4 to n = 2 and n = 3 to n = 1 will eject photoelectrons from a certain metal, but the photons emitted from the transitions n = 4 to n = 3 will not. What are the limits (minimum and maximum values) of the Work function of the metal? Could the work function be 6.0 eV?

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

k2s for potassium sulphide

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