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Q. 32

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1115

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Short Answer

How much energy does it take to ionize a hydrogen atom that is in its first excited state?

The excited hydrogen atom's ionization energy will be eV or less.

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Step by Step Solution

Step 1: Given information

The given energy of the first excited state of a hydrogen atom

Step 2: Finding ionization energy of hydrogen

The energy of an electron in a quantum state is calculated as follows:

For the first excited state, the quantum number n is given by . Hence the energy of the electron in the first excited state is

The energy of the electron after ionization is

As a result, the energy we must provide is

As a result, ionizing a hydrogen atom from its first excited state will require eV of energy.

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