What is $\psi$ and what is $|\psi|^2$? What do they represent?

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(N/A) $\psi$ is the wave function. It is a mathematical function and does not have any direct physical significance.
$|\psi|^2$ represents the probability density of finding an electron at any point in the atom. It has physical significance. The probability of finding an electron is proportional to the value of $|\psi|^2$.

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Assertion $(A)$: The probability of finding an electron in a small volume around a point $(x, y, z)$ at a distance $r$ from the nucleus is proportional to $\psi^2$.
Reason $(R)$: Subatomic particles possess both particle and wave nature.

Explain the graph of $\psi(r)$ and $\psi^2(r)$ with distance $r$ from the nucleus.

$A$ particle of mass $25 \, g$ has an uncertainty in position of $10^{-5} \, m$. The uncertainty in velocity is ... (Planck's constant $h = 6.6 \times 10^{-34} \, J \cdot s$).

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