Atomic Structure: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Atomic Structure. Understanding the underlying formula is key to arriving at the correct answer below:

Using Rydberg's formula, \(\frac{1}{\lambda} = R \left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right)\). Substituting \(n_1 = 3\) and \(n_2 = 4\) gives \(\frac{1}{\lambda} = R \left(\frac{1}{9} - \frac{1}{16}\right) = \frac{7R}{144}\). Hence, \(\lambda = \frac{144}{7R}\).