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What is the total spin and magnetic m...

What is the total spin and magnetic moment of an atom with atomic number `7`?

Text Solution

Verified by Experts

The atom number of the electron is `7` , so the electronic confguration is `1s^(2)2s^(2)2p^(3)`

Therefore the number of unpaired electron I s (n) `3`
Total spin of electron `= +- (1)/(2) n = +- (1)/(2) xx 3 = +- (3)/(2)`
Magnetic moment of the element `sqrt(n(n+2))BM`
`= sqrt(3(3 +2))BM`
`= sqrt(15)BM`
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Knowledge Check

  • The Total spin and magnetic number far the atom with atomic number 7 are

    A
    `+- 3,sqrt(3) BM`
    B
    `+- 1,sqrt(8) BM`
    C
    `+- (2)/(3)sqrt(15) BM`
    D
    `+- 0,sqrt(8) BM`
  • The Total spin and magnetic number far the atom with atomic number 24 are

    A
    `+- 3,sqrt(48) BM`
    B
    `+- 3,sqrt(35) BM`
    C
    `+- (3)/(2)sqrt(48) BM`
    D
    `+- (2)/(3)sqrt(35) BM`
  • The total magnetic moment of an atom is due to

    A
    orbital motion of electrons.
    B
    spin motion of electrons.
    C
    both (A) and (B).
    D
    existence of protons in nucleus.
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