JEE MAIN - Chemistry (2025 - 4th April Evening Shift - No. 6)
Consider the ground state of chromium atom $(Z=24)$. How many electrons are with Azimuthal quantum number $l=1$ and $l=2$ respectively ?
16 and 5
12 and 5
12 and 4
16 and 4
Explanation
The ground state electron configuration of chromium (Cr, $ Z = 24 $) is:
$$ \text{Cr: } [\text{Ar}]\,3d^5\,4s^1 $$
Let's break down the configuration:
The noble gas core $[\text{Ar}]$ represents:
$1s^2$ (with $l=0$)
$2s^2$ (with $l=0$)
$2p^6$ (with $l=1$)
$3s^2$ (with $l=0$)
$3p^6$ (with $l=1$)
Electrons with azimuthal quantum number $l = 1$ are found in $p$ orbitals:
$2p^6$: 6 electrons
$3p^6$: 6 electrons
Total $p$-electrons: $6 + 6 = 12$.
Electrons with azimuthal quantum number $l = 2$ are found in $d$ orbitals:
$3d^5$: 5 electrons
Thus, there are 12 electrons with $l = 1$ and 5 electrons with $l = 2$.
The correct option is Option B.
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