The total allowed values of m for an given value of l are equal to …………..

Explanation

To determine the total allowed values of the magnetic quantum number \( m \) for a given value of the azimuthal quantum number \( l \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Quantum Numbers**:
- The azimuthal quantum number \( l \) defines the shape of the orbital and can take values from \( 0 \) to \( n-1 \), where \( n \) is the principal quantum number.
- The magnetic quantum number \( m \) specifies the orientation of the orbital in space.

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