FYKOS Year 27 Series 4 Problem 4 — discharged pudding · FYKOS 27 #27.4.4
Physics · electromagnetism · modern-physics
Problem
There are a lot of models of hydrogens and many of these have been overcome but we like pudding and so we shall return to the pudding model of hydrogen. The atom is made of a sphere with a radius R with an equally distributed positive charge(„puding“), in which we can find an electron(„rozinka“). Obviously the electron prefers being in the place with the lowest possible energy and so he sits in the middle of the pudding. Overall the system is electrically neutral. What is the energy that we must give the electron to get it to infinity? What would radius have to be so that this energy would be equal to Rydberg's energy (the energy of excitation of an electron in an atom of hydrogen)? Express the radius in multiples of the Bohr radius.