The `lambda` of `H_(alpha)` line of the Balmer series is `6500 Å` What is the `lambda` of `H_(beta)` line of the Balmer series

Explanation

To find the wavelength of the H_beta line of the Balmer series given that the wavelength of the H_alpha line is 6500 Å, we will use the Rydberg formula for hydrogen spectral lines.

### Step-by-Step Solution:

1. **Understand the Balmer Series**: The Balmer series corresponds to electronic transitions in hydrogen where electrons fall from higher energy levels (n ≥ 3) to n = 2. The H_alpha line corresponds to the transition from n = 3 to n = 2, while the H_beta line corresponds to the transition from n = 4 to n = 2.

2. **Identify the Rydberg Formula**: The Rydberg formula for the wavelength of emitted light during electronic transitions is given by:
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