Chapter 6, Problem 117AP

The wave function for the is orbital in the hydrogen atom is

${\psi }_{\text{2s}}\text{=}\frac{\text{1}}{\sqrt{{\text{2a}}_{\text{0}}^{\text{3}}}}\left(\text{1-}\frac{\rho }{\text{2}}\right)e^{\text{-}\rho \text{/2}}$

Where ${\alpha }_{\text{o}}$: is the value of the radius of the first Bohr orbit. equal to $\text{0}\text{.529 nm; }\rho \text{ is Z(r/}{\alpha }_{\text{0}}\text{)}$ and r is the distance from the nucleus in meters. Calculate the distance from the nucleus (in nm) of the node of the 2s wave function.