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The maximum number of electrons in a sub...

The maximum number of electrons in a subshell is given by the expression

A

`4l-2`

B

`4l+2`

C

`2l+1`

D

`2n^(2)`

Text Solution

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The correct Answer is:
To determine the maximum number of electrons in a subshell, we can use the following steps: ### Step-by-Step Solution: 1. **Understanding Quantum Numbers**: - Each electron in an atom is described by a set of four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s). - The azimuthal quantum number (l) defines the shape of the subshell and can take values from 0 to (n-1). 2. **Maximum Electrons in a Subshell**: - The maximum number of electrons that can occupy a subshell is determined by the azimuthal quantum number (l). - For a given value of l, the number of possible values for the magnetic quantum number (m_l) is given by the range from -l to +l, which gives a total of (2l + 1) possible values. 3. **Considering Spin**: - Each orbital can hold a maximum of 2 electrons (due to the two possible spin states: +1/2 and -1/2). - Therefore, the total maximum number of electrons in a subshell can be calculated as: \[ \text{Maximum electrons} = 2 \times (2l + 1) = 4l + 2 \] 4. **Identifying the Correct Expression**: - The expression for the maximum number of electrons in a subshell is thus \(4l + 2\). - This can also be expressed in the form \(2(2l + 1)\), which simplifies to \(2n^2\) for the maximum number of electrons in a shell. 5. **Conclusion**: - From the options provided, the correct expression for the maximum number of electrons in a subshell is \(4l + 2\). ### Final Answer: The maximum number of electrons in a subshell is given by the expression \(4l + 2\). ---

To determine the maximum number of electrons in a subshell, we can use the following steps: ### Step-by-Step Solution: 1. **Understanding Quantum Numbers**: - Each electron in an atom is described by a set of four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s). - The azimuthal quantum number (l) defines the shape of the subshell and can take values from 0 to (n-1). ...
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Maximum numbe of electron in a subshell is given by

Give the correct order of initials T (true) or F (false) for following statements :- (I) If an ion has 2 electrons in K shell, 8 electrons in I . Shell and 6 electrons in M shell, then number of S electrons present in that element is 6 . (II) The maximum number of electrons in a subshell is given by 2n^(2) (III) If electron has magnetic quantum number -1 , then it cannot be present in s-orbital. (IV) Only one radial node is present in 3p orbital.

Knowledge Check

  • Maximum numbers of electrons in a subshell is given by-

    A
    `(2l + 1)`
    B
    `2(2 l + 1)`
    C
    `(2 l + 1)2`
    D
    `2(2 l + 1) 2`
  • The maximum number of electrons in a shell is given by expression

    A
    `n^(2)`
    B
    `2n^(2)`
    C
    `(n+1)^(2)`
    D
    `(2n)^(2)`
  • STATEMENT-1 : The maximum number of electrons in subshell p is 6. and STATEMENT -2 : The maximum number of electrons in a subshell isgiven by ( 4l +2 ) , where lis the azimuthal quantum number and for p-subshell l=1 .

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement-2 isTrue, Statement-2 is NOT a correct explanation for Statement-1
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False , Statement-2 isTrue
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