Calculate the ratio of wavelengths of the first line for the Balmer series for `He^(+)` ion and the second linefor the Balmer series for `Li^(2+)` ion?

Explanation

To solve the problem of calculating the ratio of wavelengths of the first line for the Balmer series for the `He^(+)` ion and the second line for the Balmer series for the `Li^(2+)` ion, we will follow these steps:

### Step 1: Understand the Balmer Series
The Balmer series corresponds to electronic transitions in hydrogen-like atoms where the electron falls to the n=2 energy level from higher energy levels (n=3, 4, 5, ...). The formula for the wavelength (λ) in the Balmer series is given by:

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