Atomic Structure Result Question 4-1
4. The graph between $|\psi|^2$ and $r$ (radial distance) is shown below. This represents
(2019 Main, 10 April I)
(a) $1s$ -orbital
(b) $2 p$-orbital
(c) $3s$-orbital
(d) $2 s$-orbital
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Answer:
Correct Answer: 4. ( d )
Solution:
- The graphs between $|\psi|^2$ and $r$ are radial density plots having ( $n-l-1$ ) number of radial nodes. For $1 \mathrm{s}, 2 \mathrm{s}, 3 \mathrm{s}$ and $2 p$-orbitals these are respectively.
For $2$s-orbital number of radial node $= 2-0-1= 1$
For $3$s-orbital number of radial node $= 3-0-1= 2$
For $2$p-orbital number of radial node $= 2-1-1= 0$
Thus, the given graph between $|\psi|^2$ and $r$ represents $2 s$-orbital.
BETA
