The wavelength of `H_alpha` line in the Balmer series is 6563 Å . Compute the value of Rydberg constant and hence obtain the wavelength of `H_beta` line of Balmer series.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Balmer Series
The Balmer series describes the spectral lines of hydrogen when an electron transitions from a higher energy level (n ≥ 3) to the second energy level (n = 2). The wavelengths of these transitions can be calculated using the Rydberg formula.

### Step 2: Rydberg Formula
The Rydberg formula is given by:
\[
...