The wave number of the first line in the Balmer series of hydrogen atom is `15200 cm^(-1)`. What is the wave number of the first line in the Balmer series of `Be^(3+)`?

Explanation

To solve the problem, we need to find the wave number of the first line in the Balmer series for the Be^(3+) ion, given the wave number for hydrogen. Here’s a step-by-step solution:

### Step 1: Understand the Balmer Series
The Balmer series consists of spectral lines resulting from electron transitions to the n=2 energy level from higher energy levels (n=3, 4, 5, ...). The first line in the Balmer series corresponds to the transition from n=3 to n=2.

### Step 2: Use the Rydberg Formula
The wave number (ṽ) for the transition can be calculated using the Rydberg formula:
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