What would be degeneracy of H-atom corresponding to n = 4?Correct answer is '16'. Can you explain this answer?

Question

Answer

Explanation:

The degeneracy of an energy level is the number of orbitals that have the same energy. In hydrogen atom, the energy of a level depends only on the principal quantum number n.

Determination of degeneracy:

The number of orbitals in a given energy level is given by n^2. Hence, for n=4, the number of orbitals will be:

4^2 = 16

Therefore, the degeneracy of the hydrogen atom corresponding to n=4 is 16.

Conclusion:

Degeneracy is a term used in quantum mechanics to describe the number of orbitals that have the same energy. In a hydrogen atom, the energy of a level depends only on the principal quantum number n. By using the formula n^2, we can determine the number of orbitals in a given energy level. For n=4, the degeneracy of the hydrogen atom is 16.

Similar Chemistry Doubts

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Energy of hydrogen atom is given by En = -e2/128ao where ao is the Bohr’s radius. What would be the value of degeneracy? Correct answer is '16'. Can you explain this answer?

If N/2atoms of X are converted into X + absolving E1, N/2 atoms of X are converted to X-, E2 energy is released then 1.) Ionization potential of X would be2E1/N 2.) Ionization of potential X would be2E1 3.) Electron affinity of X would be2E2/N 4.) Electron affinity of X would be 2E2?

Which one among following is incorrect?

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