Question

Consider Rydberg (hydrogen-like) atoms in a highly excited state with \( n \) around 300. The wavelength of radiation coming out of these atoms for transitions to the adjacent states lies in the range:

• A. Gamma rays (\( \lambda \sim \text{pm} \))
• B. UV (\( \lambda \sim \text{nm} \))
• C. Infrared (\( \lambda \sim \mu m \))
• D. RF (\( \lambda \sim \text{m} \))

Hint:

For very large values of \( n \), Rydberg transitions typically produce radiation in the RF range.

Answer 1

The Correct Option is D

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 moves to the radio frequency (RF) range for such large values of \( n \), with wavelengths on the order of meters (\( \lambda \sim \text{m} \)).
Step 2: Conclusion.
Therefore, the correct answer is option (D), as the radiation lies in the RF range for these transitions.