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How much energy is required to raise a hydrogen atom from the ground state to the first excited state?

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Question

How much energy is required to raise a hydrogen atom from the ground state to the first excited state?

Options

  • \[E_{2}-E_{1}=12.09\,\mathrm{eV}\]

  • \[E_{2}-E_{1}=3.40\,\mathrm{eV}\]

  • \[E_{2}-E_{1}=10.2\,\mathrm{eV}\]

  • \[E_{2}-E_{1}=13.6\,\mathrm{eV}\]

MCQ
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Solution

The first excited state is the second orbit. The required energy is \[E_{2}-E_{1}=(-3.40)-(-13.6)=10.2\,\mathrm{eV}\].

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