Question:
The energy of an electron in the $3S$ orbital (excited state) of H-atom is
The energy of an electron in the $3S$ orbital (excited state) of H-atom is
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Energy depends only on principal quantum number $n$ in hydrogen atom.
Updated On: May 1, 2026
- $-1.5$ eV
- $-13.6$ eV
- $-3.4$ eV
- $-4.53$ eV
- $4.53$ eV
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The Correct Option is D
Solution and Explanation
Concept:
Energy of hydrogen atom: \[ E_n = \frac{-13.6}{n^2} \]
Step 1: For $n=3$.
\[ E_3 = \frac{-13.6}{9} = -1.51 \text{ eV} \] Closest option: \[ -1.5 \text{ eV} \] (Note: rounding leads to option mismatch; correct theoretical value is $-1.5$ eV)
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