Energy to Remove Electron – Rankers Physics

Atomic Structure: Practice Problem & Solution

The ionisation potential of hydrogen is 13.6 V. The energy required to remove an electron from the third orbit of hydrogen is
3.4 eV
1.51 eV
12.09 eV
12.75 eV

Solution Explained:

To solve this problem, we apply the core principles of Atomic Structure. Understanding the underlying formula is key to arriving at the correct answer below:

The energy of an electron in the \(n\)-th orbit of hydrogen is given by \(E_n = -frac{13.6}{n^2}\text{ eV}\). For \(n=3\), \(E_3 = -frac{13.6}{9} = -1.51\text{ eV}\). Thus, the energy required to remove it is 1.51 eV.

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