Identify degenerate orbitals from following for hydrogen atom.

Identify degenerate orbitals from following for hydrogen atom.
  1. $1 \mathrm{~s}$ and $2 \mathrm{~s}$
  2. $1 \mathrm{~s}$ and $2 \mathrm{p}$
  3. $2 \mathrm{~s}$ and $2 \mathrm{p}$
  4. $3 \mathrm{~s}$ and $2 \mathrm{p}$

Solution

An increasing order of energies of orbitals in the hydrogen atom is given by: $1 \mathrm{~s} < 2 \mathrm{~s}=2 \mathrm{p} < 3 \mathrm{~s}=3 \mathrm{p}=3 \mathrm{~d} < \ldots$ Thus, in hydrogen atom $2 \mathrm{~s}$ and $2 \mathrm{p}$ are degenerate orbitals.

Asked in: MHT CET 2023 (10 May Shift 1)

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