The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n=1 labels the lowest or “ground” state, n=3 is the third state, and so on. If the atom’s diameter is 1x10-10m in its lowest energy state, what is its diameter in state number 50? How many unexcited atoms could be fit within this one giant atom?

Question

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom.  The diameter of the atom is proportional to n2, where n=1 labels the lowest or “ground” state, n=3 is the third state, and so on.  If the atom’s diameter is 1x10-10m in its lowest energy state, what is its diameter in state number 50?  How many unexcited atoms could be fit within this one giant atom?