Which of the following statement concerning probability density (ψ2) and radial distribution function (4πr2ψ2) for a s-orbital of H-like species is correct? -

A
$ψ^{2}$ is minimum at nucleus but 4 ${πr}^{2}$ $ψ^{2}$ is maximum at nucleus
B
$ψ^{2}$ is maximum at nucleus but 4 ${πr}^{2}$ $ψ^{2}$ is minimum at nucleus.
C
Both $ψ^{2}$ and 4 ${πr}^{2}$ $ψ^{2}$ are maximum at nucleus.
D
Both $ψ^{2}$ and 4 ${πr}^{2}$ $ψ^{2}$ are minimum at nucleus.

Solution:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maxirnum at r = 0, but 4 ${πr}^{2}$ $ψ^{2}$ is minimum at r = 0.

Which of the following statement concerning probability density ( $ψ^{2}$ ) and radial distribution function (4 $π$ r² $ψ^{2}$ ) for a s-orbital of H-like species is correct?

Solution:

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