Chapter 28.1, Problem 1PP

To determine

To Calculate: Energy of the second, third, fourth energy levels of the Hydrogen atom.

Explanation of Solution

Given data:

For second energy level, $n_2=2$

For third energy level, $n_3=3$

For fourth energy level, $n_4=4$

Formula used:

Energy of hydrogen atom in energy level n can be:

  $E\left(n\right)=\frac{-1}{n^2}\times 13.6\text{eV}$

Calculation:

For second energy level, $n_2=2$

  $E\left(2\right)=\frac{1}{2^2}\times \left(-13.6\right)=-3.4\text{eV}$

For third energy level, $n_3=3$

  $E\left(3\right)=\frac{1}{3^2}\times \left(-13.6\right)=-1.51\text{eV}$

For fourth energy level, $n_4=4$

  $E\left(4\right)=\frac{1}{4^2}\times \left(-13.6\right)=-0.85\text{eV}$