Chapter 2, Problem 95E

The wave functions for the 1s and 2s orbitals are as follows:

   $1s\psi ={\left(1/\pi \right)}^{1/2}\left(1/a_0^{3/2}\right)\exp \left(-r/a_0\right)$

   $2s\psi ={\left(1/32\pi \right)}^{1/2}\left(1/a_0^{3/2}\right)\exp \left(2-r/a_0\right)\exp \left(-r/a_0\right)$

Where,
$a_0$ is a constant ( $a_0$ = 53 pm) and r is the distance from the nucleus. Use a spreadsheet to make a plot of each of these wave functions for values of r ranging from 0 pm to 200 pm. Describe the differences in the plots and identify the node in the 2s wave function.