Which of the following statements on the square of atomic wave function at a point near to the nucleus is not correct?

Which of the following statements on the square of atomic wave function at a point near to the nucleus is not correct?

A
$Ψ^{2}$ may be positive, negative or imaginary
B
$Ψ^{2}$ is proportional to electron density
C
$Ψ^{2}$ is directly proportional to the probability of finding the electron
D
$Ψ^{2}$ is equal to the probability of finding the electron if $Ψ$ is a normalized wave function

Solution:

$Ψ^{2}$ cannot be imaginary. $Ψ^{2}$ is positive for a real wave function and $Ψ^{*} Ψ$ (where $Ψ^{*}$ is the complex conjugate of $Ψ$ ) is positive.

The square of the wave function (i.e.,ψ²) at a point gives the probability density of the electron at that point.

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