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 = 2 is the second state, n = 3 is the third state, and so on. If the atom's diameter is 1 10-10 m in its lowest energy state, what is its diameter in state number 41? How many unexcited atoms could be fit within this one giant atom?