For the Bohr hydrogen atom determine the energy level corresponding to n = 3. A)7.26 × 10^-19 J B)7.36 × 10^-35 J C)-2.42 × 10^-19 J D)3.33 × 10⁷ J E)1.96 × 10^-17 J

Question

Quizplus · Accepted Answer

The energy levels of the Bohr hydrogen atom are given by the formula $E_n = -\frac{13.6 \text{ eV}}{n^2}$, where $n$ is the principal quantum number. For $n = 3$, the energy level is $E_3 = -\frac{13.6 \text{ eV}}{3^2} = -\frac{13.6}{9} \text{ eV} = -1.51 \text{ eV}$. Converting this energy to joules (using $1 \text{ eV} = 1.602 \times 10^{-19} \text{ J}$), we get $E_3 = -1.51 \times 1.602 \times 10^{-19} \text{ J} = -2.42 \times 10^{-19} \text{ J}$.

For the Bohr Hydrogen Atom Determine the Energy Level Corresponding