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BITSAT2024ChemistryStructure of AtomActual

The degeneracy of hydrogen atom that has energy equal to -R_ H 9 is (where, R_ H = Rydberg constant)

Options

  1. A6
  2. B8
  3. C5
  4. D9

Correct 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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