Step 1: Understanding the Rydberg series.
Rydberg atoms are highly excited hydrogen-like atoms with large values of \( n \). When the atom transitions between adjacent energy levels, the emitted radiation lies in the ultraviolet (UV) range, with wavelengths on the order of nanometers (\( \lambda \sim \text{nm} \)).
Step 2: Conclusion.
Therefore, the correct answer is option (B), as the radiation lies in the UV range.