An electron in a Bohr hydrogen atom with a n = 4 value would have an energy of ________. A)1.362 × 10^-19 J B)-1.362 × 10^-16 J C)-1.362 × 10¹⁹ J D)1.362 × 10¹⁹ J E)-1.362 × 10^-19 J

Question

Quizplus · Accepted Answer

The energy levels of an electron in a Bohr hydrogen atom are given by the formula E_n = -13.6 eV/n^2, where n is the principal quantum number. For n = 4, the energy is -13.6 eV/(4^2) = -13.6 eV/16 = -0.85 eV. Converting this energy to joules (using 1 eV = 1.602 × 10^-19 J), the energy is approximately -1.362 × 10^-19 J, which corresponds to choice E.

An Electron in a Bohr Hydrogen Atom with a N