The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are: [2026]

Question

Given,

(A) $n = 5, m_{ℓ} = - 1$

(B) $n = 3, ℓ = 2, m_{ℓ} = - 1, m_{s} = + \frac{1}{2}$

The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are: [2026]

Smart Achievers · Accepted Answer

(3)

(A) $n = 5$

$l = 0 m_{l} = 0$

$l = 1 m_{l} = - 1, 0, 1 \Rightarrow 2 electrons$

$l = 2 m_{l} = - 2, - 1, 0, 1, 2 \Rightarrow 2 electrons$

$l = 3 m_{l} = - 3, - 2, - 1, 0, 1, 2, 3 \Rightarrow 2 electrons$

$l = 4 m_{l} = - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4 \Rightarrow 2 electrons$

Total number of electrons = 8

(B) $n = 3, l = 2, m_{l} = - 1, m_{s} = + \frac{1}{2} \Rightarrow$ only 1 electron is possible

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