Quantum Mechanical Model Of Atom

Electronic configuration of is . Here the valence electron is in orbital.
The value of this orbital is zero So, the magnetic quantum number of this orbital is zero

Step 1: Magnetic Quantum Number
The magnetic quantum number ( ) describes the orientation of an orbital around the nucleus.
The total number of possible values for the magnetic quantum number is given by the formula: Where is the azimuthal quantum number (also called the angular momentum quantum number).
Step 2: Explanation of Other Options
Option (a) is incorrect because represents the number of orbitals for the principal quantum number , not the magnetic quantum number.

Option (b) is incorrect because is not the correct formula for the total number of magnetic quantum numbers.
Option (d) is incorrect because is the correct formula, not .

Step 3: Conclusion
Thus, the total value of the magnetic quantum number is .