The maximum number of electrons in p-orbital with n = 6, m = 0 is

Options

A. 2
B. 6
C. 10
D. 14

Answer

To determine the maximum number of electrons in a p-orbital with n = 6 and m = 0, we can follow these steps:

### Step 1: Understand the Quantum Numbers
- The principal quantum number (n) indicates the energy level of the electron. In this case, n = 6 means we are looking at the 6th energy level.
- The azimuthal quantum number (l) for p-orbitals is always 1. This means we are dealing with a p-orbital.
- The magnetic quantum number (m) can take values from -l to +l. For p-orbitals (l = 1), the possible values of m are -1, 0, and +1. Here, m = 0 indicates we are specifically looking at the p-orbital that is oriented along the z-axis (the pz orbital).

### Step 2: Determine the Maximum Number of Electrons in the Orbital
- According to the Pauli Exclusion Principle, each orbital can hold a maximum of 2 electrons. This is true for all types of orbitals (s, p, d, f).
- Since we are specifically considering one p-orbital (the pz orbital in this case), it can accommodate a maximum of 2 electrons.

### Conclusion
- Therefore, the maximum number of electrons in the p-orbital with n = 6 and m = 0 is **2**.

### Final Answer
The maximum number of electrons in the p-orbital with n = 6 and m = 0 is **2**.

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