For the principal quantum number n = 2, the possible values of azimuthal quantum number and magnetic quantum number respectively are

Options

A. 0, 1 , 2 and 1, 2,3
B. 0, 1, 2 and -1, 0, +1
C. 0, 1 and -1, 0, +1
D. 1, 2, 3 and -1, 0, +1

Explanation

To solve the question regarding the possible values of the azimuthal quantum number (l) and the magnetic quantum number (m) for the principal quantum number n = 2, we can follow these steps:

### Step 1: Determine the possible values of the azimuthal quantum number (l)
The azimuthal quantum number (l) can take values from 0 to (n-1). Therefore, for n = 2:
- The possible values of l are:
- l = 0
- l = 1

### Step 2: Determine the possible values of the magnetic quantum number (m)
The magnetic quantum number (m) can take values from -l to +l, including zero. Thus, we need to consider the values of m for each possible value of l:
- For l = 0:
- m can only be 0 (since it ranges from -0 to +0).

- For l = 1:
- m can take values -1, 0, and +1 (since it ranges from -1 to +1).

### Step 3: Compile the results
Now we can summarize the possible values:
- For n = 2:
- Possible values of l: 0, 1
- Possible values of m for each l:
- If l = 0, m = 0
- If l = 1, m = -1, 0, +1

### Final Answer
Thus, the possible values of the azimuthal quantum number (l) are 0 and 1, and the possible values of the magnetic quantum number (m) are -1, 0, and +1.