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An electron in an atom can be completely...

An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital.
The maximum number of electrons in a subshell having the same value of spin quantum number is given by

A

`l+2`

B

`2l+1`

C

`l(l+1)`

D

`sqrt(l(l+1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Number of orbitals in a subshell =2l+1
Each of these can have one electron having same value of spin quantum number
`:.` Maximum number of electrons in a subshell having same values of the of spin quantum number =2l+1
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Knowledge Check

  • An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. The electronic configuration of P in H_(3)PO_(4) is

    A
    `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(3)`
    B
    `1s^(2) 2s^(2) 2p^(6) 3s^(2)`
    C
    `1s^(2)2s^(2) 2p^(6)`
    D
    `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(1)`

  • An electron in an atom can be completely designated with the help of four quantum numbers. Out of these, the first three i.e., principal (n), azimuthal (l) and magnetic (m) quantum number are obtained from the solution of Shrodinger wave equation while the spin(s) quantum number arises from the spin of the electron around its axis clockwise or antiaclockwise. Ot of these principal quantum number tells about the size, azimuthal quantum number about the shape and magnetic quantum signifies the orientation of the electron orbital. How many electrons in a given atom have the following set of quantium numbers? n = 3, l =2, m = +2, s = -1//2

    A
    1
    B
    18
    C
    14
    D
    cannot be known

  • The maxium number of electrons in an orbital having same spin quantum number will be:

    A
    ` l+2`
    B
    ` 2l+1`
    C
    `l(l +1)`
    D
    ` sqrt l(l+1)`

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