JEE Main 2022 · 29 Jun · Shift 2 · Chemistry Q62

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ChemistrySingle correct+4 / -1Question 62 of 90

Which of the following is the correct plot for the probability density $\Psi^2(r)$ as a function of distance ' $r$ ' of the electron from the nucleus for 2s orbital?

Monotonic decrease from r = 0

Ψ²(r) against r: falls steadily from a high value at r = 0 towards zero, with no node.

Decrease to zero (one node), then a single smaller hump

Ψ²(r) against r: falls from a high value to zero at one radial node, then rises to a single smaller maximum and decays.

Dips below zero then rises to zero

Ψ²(r) against r: drops below the axis to a negative minimum, then rises back towards zero.

Two nodes with two humps

Ψ²(r) against r: falls to zero, rises to a maximum, falls to zero again, then a smaller second maximum (two nodes).

Answer and worked solution

Official answer: B

2s has one radial node: $\Psi^2$ falls to zero once, then shows one smaller maximum.

(B)

Topics:Orbitals and their shapes

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JEE Main 2022 · 29 Jun · Shift 2, Chemistry question 62