What is the change in energy of the hydrogen atom when it undergoes an electronic transition from n_initial= 5 to n_final= 2?

Question

Quizplus · Accepted Answer

The change in energy for a hydrogen atom undergoing an electronic transition can be calculated using the formula derived from the Rydberg equation: $\Delta E = -R_H \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right)$, where $R_H$ is the Rydberg constant (approximately $2.18 \times 10^{-18} J$), $n_i$ is the initial energy level, and $n_f$ is the final energy level. Substituting $n_i = 5$ and $n_f = 2$ into this formula gives a change in energy that matches the value in choice B.

What Is the Change in Energy of the Hydrogen Atom