For all hydrogen-like atoms and ions in their ground states, which of the following parameters is identical?

Step-by-step solution

For hydrogen-like atoms and ions in the ground state, the principal quantum number n = 1 . The radius of the orbit is given by r = 0.529 n^2 Z , which depends on the atomic number Z . The energy of the atom is given by E = -13.6 Z^2 n^2 eV, which depends on Z . The speed of the electron is given by v = 2.18 10^6 Z n m/s, which depends on Z . The orbital angular momentum of the electron in the ground state ( 1s orbital, l = 0 ) is l(l+1) h 2 = 0 . According to Bohr's theory, the angular momentum is nh 2 = h 2 . In b