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EEJ MAIN Chemistry QUESTION #7172
Question 1
Which of the following values represents a physically possible energy level for an excited state of a hydrogen atom?
  • $+13.6 \text{ eV}$
  • $-6.8 \text{ eV}$
  • $-3.4 \text{ eV}$✔️
  • $+6.8 \text{ eV}$
Correct Answer Explanation
The energy of an electron in a hydrogen atom is given by $E_{n} = \frac{-13.6}{n^{2}} \text{ eV}$.
  • For $n=1$, $E = -13.6 \text{ eV}$ (Ground state)
  • For $n=2$, $E = \frac{-13.6}{4} = -3.4 \text{ eV}$
  • For $n=3$, $E = \frac{-13.6}{9} = -1.51 \text{ eV}$
Only $-3.4 \text{ eV}$ matches a valid transition level.