The hydrogen ground state. (a) a hydrogen atom is in its ground state. if space is divided into identical infinitesimal cubes, in which cube is the electron most likely to be found? if instead space is divided into shells of infinitesimal thickness, like the layers of an onion, centered on the proton, what is the radius of the shell in which the electron is most likely to be found? (b) calculate the mean radius (r) = 4 pi integral^infinity_0 r |psi(r)|^2 r^2 dr. (c) calculate the mean value of v(r). what then, without further calculation, is the mean value of the kinetic energy k?