What is the maximum number of electron in an atom that can have the quantum numbers `n = 4, m_(l) =+1`?

Options

A. `4`
B. `15`
C. `3`
D. `6`

Explanation

To find the maximum number of electrons in an atom that can have the quantum numbers \( n = 4 \) and \( m_l = +1 \), we will follow these steps:

### Step 1: Identify the Principal Quantum Number
The principal quantum number \( n \) indicates the energy level of the electron. Here, \( n = 4 \).

### Step 2: Determine the Possible Values of the Azimuthal Quantum Number \( l \)
The azimuthal quantum number \( l \) can take values from \( 0 \) to \( n-1 \). Therefore, for \( n = 4 \):
- Possible values of \( l \) are \( 0, 1, 2, 3 \).
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