Question

What is the degeneracy of the level of H-atom that has energy \( \frac{R_H}{9} \)?

• A. 16
• B. 9
• C. 4
• D. 1

Hint:

The degeneracy of energy levels in the hydrogen atom is proportional to \( n^2 \), where \( n \) is the principal quantum number.

Answer 1

The Correct Option is B

Step 1: Understanding degeneracy.
The degeneracy of an energy level in the hydrogen atom is given by \( 2n^2 \), where \( n \) is the principal quantum number. For the given energy, \( n = 3 \), so the degeneracy is \( 9 \).

Step 2: Conclusion.
The degeneracy of the level is 9, corresponding to option (2).