Calculate the frequency of the spectral line corresponding to`n(1) = 2` and `n_(2)= 4`. To which spectral series does this line belong ?

Explanation

To solve the problem of calculating the frequency of the spectral line corresponding to \( n_1 = 2 \) and \( n_2 = 4 \), and to determine to which spectral series this line belongs, we can follow these steps:

### Step 1: Use the Rydberg Formula
The Rydberg formula for the wave number \( \left( \frac{1}{\lambda} \right) \) is given by:

\[ \frac{1}{\lambda} = R \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]
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