Question

For azimuthal quantum number \(l = 3\), \(m\) can have

• A. only one value
• B. 3 values
• C. 5 values
• D. 7 values

Hint:

Number of m values = \(2l + 1\). For \(l=3\), \(2(3)+1 = 7\).

Answer 1

The Correct Option is D

Step 1: Basic Principle
The magnetic quantum number \(m\) specifies the orbital orientation. Its values range from \(-l\) to \(+l\) including zero.
Step 2: Solution Procedure:
For \(l = 3\), \(m = -3, -2, -1, 0, +1, +2, +3\). This gives a total of 7 values.
Step 3: Required Answer:
\(m\) can have 7 values, option (D).