Calculate the energy of a photon in the Balmer series that results from the transition n = 3 to n = 2.What is the region of the electromagnetic spectrum? The Rydberg constant equals 2.180 × 10−¹⁸ J.

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Quizplus · Accepted Answer

The energy of a photon in the Balmer series for a transition from n = 3 to n = 2 can be calculated using the formula $E = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right)$, where $R_H$ is the Rydberg constant, $n_1 = 2$ for the Balmer series, and $n_2 = 3$ for the given transition. Substituting the given values, $E = 2.180 \times 10^{-18} \left( \frac{1}{2^2} - \frac{1}{3^2} \right) = 3.028 \times 10^{-19} J$. The Balmer series lies in the visible region of the electromagnetic spectrum.

Calculate the Energy of a Photon in the Balmer Series