The total number of possible values of magnetic quantum number for the value of l = 3 is

Options

A. 3
B. 1
C. 5
D. 7

Explanation

To find the total number of possible values of the magnetic quantum number (m_l) for a given azimuthal quantum number (l), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given quantum number**:
The problem states that the azimuthal quantum number (l) is equal to 3.

2. **Understand the range of the magnetic quantum number**:
The magnetic quantum number (m_l) can take values from -l to +l. This means that for a given value of l, m_l can be any integer within this range.

3. **Calculate the possible values of m_l**:
For l = 3, the possible values of m_l are:
-3, -2, -1, 0, +1, +2, +3

4. **Count the total values**:
Now, we count the values:
- The values are: -3, -2, -1, 0, +1, +2, +3
- This gives us a total of 7 possible values.

5. **Conclusion**:
Therefore, the total number of possible values of the magnetic quantum number (m_l) for l = 3 is 7.

### Final Answer:
The total number of possible values of the magnetic quantum number for l = 3 is **7**.

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