Question

[
psi_{3 S}=frac{1}{81 sqrt{3} pi}left(frac{1}{a_{0}}right)^{3 / 2}left[27-18left(frac{r}{a_{0}}right)+2left(frac{r}{a_{0}}right)^{2}right] e^{-r / 39_{0}}
]
at the nodes ( psi_{35}=0 )
[
begin{aligned} 2 frac{r^{2}}{q^{2}}-18 frac{r}{a_{0}}+27 &=0 frac{r_{0}}{a_{0}}=frac{18 pm sqrt{324-216}}{4}=frac{18 pm frac{3}{6 sqrt{3}}}{42} r=&left(frac{9 pm 3 sqrt{3}}{2}right)^{a_{0}} end{aligned}
]

# 104 Structure of Atom JEE (Advanced) (Level-II) wo kination of 3s diacronis given by va owar 6) 27-187)+28 of 3s electron is given by Vas دة آM Example 11: The wave function of 3s electron e at r = r. Find the relation between r, and a It has a node at r= r Find th e-r/За At nodal point, Y = 0. From the given

Solution