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 `Li^(2+)` ion, we will follow these steps:

### Step 1: Understand the Balmer Series
The Balmer series consists of spectral lines corresponding to electron transitions from higher energy levels to the second energy level (n=2) in hydrogen-like atoms. The transitions can be from n=3 to n=2, n=4 to n=2, etc.

### Step 2: Identify the transitions
- For the `He^(+)` ion (Z = 2), the first line corresponds to the transition from n=3 to n=2.
- For the `Li^(2+)` ion (Z = 3), the second line corresponds to the transition from n=4 to n=2.
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