In the radial probability distribution curve for the 2s orbital of the hydrogen atom, the minor maximum, the node and the major maximum occur at the following distances from the nucleus respectively

To solve this question, we need to understand the radial probability distribution curve for the 2s orbital of the hydrogen atom. This curve represents the probability of finding an electron at a particular distance from the nucleus.

1. Radial probability density is obtained by multiplying the square of the radial wavefunction by $4\pi r^2$. For the 2s orbital, this gives a curve with:
   • A minor maximum closer to the nucleus.
   • A node (where the probability is zero).
   • A major maximum farther from the nucleus.
2. The positions of the minor maximum, the node, and the major maximum are determined by solving the Schrödinger equation for the hydrogen atom and analyzing the radial wavefunction for the 2s orbital.

The approximate distances of these features for the hydrogen atom's 2s orbital in terms of the Bohr radius ($a_0$) are:

• Minor maximum: $r \approx 0.17a_0$
• Node: $r = 2a_0$
• Major maximum: $r \approx 5.2a_0$

The minor maximum, the node, and the major maximum occur at the following distances respectively:

$0.17a_0$$0.17$$a$$0$​, $2a_0$$2$$a$$0$​, and $5.2a_0$$5.2$$a$$0$​.

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