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What is the total number of orbitals ass...

What is the total number of orbitals associated with the principal quantum number n=3 ?

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For n = 3, the possible values of l are 0,1 and 2. Thus, there is one 3s orbital (n = 3, l = 0 and `m_l` = 0), there are three p orbitals (n = 3, l = 1 and ml = -1, 0, 1) there are five 3d orbitals (n = 3, l = 2, ml = -2, -1, 0, 1, 2).
Therefore, the total number of orbitals is 1+3+5 = 9.
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Knowledge Check

  • The total number of orbitals in a shell having principal quantum number 'n" is

    A
    2n
    B
    `n^2`
    C
    `2n^2`
    D
    (n+1)

  • The number of orbitals in n=4 is

    A
    2
    B
    8
    C
    16
    D
    32

  • Total number of orbitals associated with third shell will be___________

    A
    2
    B
    4
    C
    9
    D
    3

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