An excited hydrogen atom emits a photon of wavelength in returning to the ground state. If is the Ry — Atomic Structure Chemistry Question

💡 Solution & Explanation

$\frac{1}{\lambda} = R\left(1 - \frac{1}{n^2}\right) \implies \frac{1}{\lambda R} = 1 - \frac{1}{n^2} \implies \frac{1}{n^2} = 1 - \frac{1}{\lambda R} = \frac{\lambda R - 1}{\lambda R}$. Therefore, $n^2 = \frac{\lambda R}{\lambda R - 1} \implies n = \sqrt{\frac{\lambda R}{\lambda R - 1}}$. Therefore, correct answer is C.