Identify the pair of orbitals having similar | vedclass

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Question

(C) The $(n + l)$ rule states that the energy of an orbital depends on the sum of the principal quantum number $(n)$ and the azimuthal quantum number

Vedclass · Accepted Answer

$3d$ and $4p$

Vedclass · Answer

(C) The $(n + l)$ rule states that the energy of an orbital depends on the sum of the principal quantum number $(n)$ and the azimuthal quantum number $(l)$.$(1)$ For $3s$: $n = 3, l = 0 \implies n + l = 3 + 0 = 3$. For $3p$: $n = 3, l = 1 \implies n + l = 3 + 1 = 4$.$(2)$ For $2p$: $n = 2, l = 1 \implies n + l = 2 + 1 = 3$. For $4s$: $n = 4, l = 0 \implies n + l = 4 + 0 = 4$.$(3)$ For $3d$: $n = 3, l = 2 \implies n + l = 3 + 2 = 5$. For $4p$: $n = 4, l = 1 \implies n + l = 4 + 1 = 5$.$(4)$ For $2p$: $n = 2, l = 1 \implies n + l = 3$. For $3p$: $n = 3, l = 1 \implies n + l = 4$.Since $3d$ and $4p$ both have $(n + l) = 5$, they have similar values.

Identify the pair of orbitals having similar $(n + l)$ values from the following.

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