Question

The wavelength of an electron for transition from a state \(n_1\) to \(n_2\) is \( \frac{9}{8R} \). Which of the following wavelengths is possible for a transition from \(n_2\) to \(n_1\)?

• A. \( 16 \times 15R \)
• B. \( 4R \)
• C. \( 9R \)
• D. \( 36 \times 5R \)

Hint:

In atomic transitions, the wavelength of emitted or absorbed light is inversely related to the energy difference between the levels.

Answer 1

The Correct Option is C

Step 1: Relation between Wavelength and Energy.
The wavelength for a transition between energy levels is inversely proportional to the difference in energy levels. Using the given information, the wavelength for the reverse transition would be directly related to the energy difference, resulting in \( 9R \).
Step 2: Conclusion.
The correct answer is (C), \( 9R \).