Question
The degeneracy of hydrogen atom that has energy equal to -R_ H 9 is (where, R_ H = Rydberg constant)
BITSAT
Chemistry
Structure of Atom
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Chemistry Question (2024) — Solution
Options
- A. 6
- B. 8
- C. 5
- D. 9
Answer
D. 9
Step-by-step solution
The energy is given as, E=- R_ H 9 ...(i) We know that, aligned E_n & =- R_ H n^2 ...(ii)\\ n^2 & =9 \\ n & =3 aligned When n=3, l=0,1,2 (3 s, 3 p, 3 d sub-shells) Orbitals present (i.e., degeneracy), 3 s=1,3 p=3,3 d=5 Total number of orbital present =3+1+5=9
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