The energy required to move an electron in a hydrogen atom from energy level 2 to energylevel 3 is:
A)0.7 eV.
B)1.9 eV.
C)2.6 eV.
D)2.9 eV.
E)3.4 eV.

Question

Quizplus · Accepted Answer

The energy levels of a hydrogen atom can be calculated using the formula $E_n = -13.6 \, \text{eV} \times \frac{1}{n^2}$, where $n$ is the principal quantum number of the energy level. The energy required to move an electron from level 2 to level 3 is the difference in energy between these two levels. For level 2: $E_2 = -13.6 \, \text{eV} \times \frac{1}{2^2} = -3.4 \, \text{eV}$For level 3: $E_3 = -13.6 \, \text{eV} \times \frac{1}{3^2} = -1.51 \, \text{eV}$The energy required to move from level 2 to level 3 is $E_3 - E_2 = -1.51 \, \text{eV} - (-3.4 \, \text{eV}) = 1.89 \, \text{eV}$, which rounds to approximately 1.9 eV.

The Energy Required to Move an Electron in a Hydrogen