An electron in a Bohr hydrogen atom has an energy of - 1.362 × 10^-¹⁹J. The value of n for this electron is . A) 1 B) 2 C) 3 D) 4 E) 5

Question

Quizplus · Accepted Answer

The energy of an electron in a Bohr hydrogen atom is given by E = -13.6/n^2 eV, where n is the principal quantum number. Rearranging the equation, we get n = sqrt(-13.6/E), where E is given as -1.362 × 10^-18 J. Plugging in the values, n = sqrt(-13.6/(-1.362 × 10^-18)) = 4. Therefore, the electron has a principal quantum number of 4. The correct answer is D.

An Electron in a Bohr Hydrogen Atom Has an Energy