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The maximum of electrons can have princi...

The maximum of electrons can have principal quantum number `n = 3` and spin quantum number `m_(s) = 1//2` is

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`n = 3 rArr 1= 0,1,2`
`{:(For l = 0 , m= 0 rArr m_(s) = - 1//2 and + 1//2),(For l = 1 , m= -1 rArr m_(s) = - 1//2 and + 1//2):}`
`{:(0 rArr m_(s) = - 1//2 and + 1//2),(-1 rArr m_(s) = - 1//2 and + 1//2),("For l= 2,m= "-2 rArr m_(s) = - 1//2 and + 1//2),(-1 rArr m_(s) = - 1//2 and + 1//2),(0 rArr m_(s) = - 1//2 and + 1//2),(1 rArr m_(s) = - 1//2 and + 1//2),(2 rArr m_(s) = - 1//2 and + 1//2):}`
Alermatively `n= 3`
Number of electron `= 2n^(2) = 2 xx 3^(2) = 18 `
Number of electron with `m_(s) = - (1)/(2) = (18)/(2) = 9`
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Knowledge Check

  • The maximum number of electrons that can have principal quantum number n = 3 & spin quantum number m_(s)=-(1)/(2) is :-

    A
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    B
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    C
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    D
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    Shape of orbital
    B
    Sub-shell of electron
    C
    Main energy shell of electron
    D
    Spin of electron
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    A
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    B
    1,2
    C
    4,6
    D
    2,3
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