An electron in an atom has m = -2 value. Then
(I) its 'n' value should be greater thn 2
(II) its 's' value should +1/2
(III) its 'I' value should be 2
(IV) its 'l' value shoul be greater than 1

Options

A. I and II are correct
B. II and III are correct
C. III and IV are correct
D. I and IV are correct

Answer

To solve the question regarding the electron in an atom with a magnetic quantum number \( m = -2 \), we need to analyze the implications of this value on the other quantum numbers: principal quantum number \( n \), azimuthal quantum number \( l \), and spin quantum number \( s \).

### Step-by-Step Solution:

1. **Understanding the Magnetic Quantum Number \( m \)**:
The magnetic quantum number \( m \) can take values from \(-l\) to \(+l\) including zero. Therefore, if \( m = -2 \), it implies that \( l \) must be at least 2 (since \( m \) can take values from \(-l\) to \(+l\)).

2. **Determining the Azimuthal Quantum Number \( l \)**:
Since \( m = -2 \), the possible values of \( l \) can be:
- \( l = 2 \) (which corresponds to the d-subshell)
- \( l = 3 \) (which corresponds to the f-subshell)
- and so on (higher values of \( l \)).
Thus, \( l \) must be greater than or equal to 2.

3. **Finding the Principal Quantum Number \( n \)**:
The azimuthal quantum number \( l \) is related to the principal quantum number \( n \) by the relation \( l \) can take values from \( 0 \) to \( n-1 \). Therefore, if \( l \) is at least 2, then \( n \) must be at least \( l + 1 \). Hence, \( n \) must be greater than or equal to 3.

4. **Analyzing the Spin Quantum Number \( s \)**:
The spin quantum number \( s \) can take values of \( +\frac{1}{2} \) or \( -\frac{1}{2} \). Since the problem does not specify the spin state, \( s \) can be either of these values. Therefore, we cannot definitively state that \( s \) must be \( +\frac{1}{2} \).

5. **Conclusion**:
- (I) \( n \) value should be greater than 2: **True** (since \( n \) must be at least 3).
- (II) \( s \) value should be \( +\frac{1}{2} \): **False** (it can be either \( +\frac{1}{2} \) or \( -\frac{1}{2} \)).
- (III) \( l \) value should be 2: **False** (it can be 2 or greater).
- (IV) \( l \) value should be greater than 1: **True** (since \( l \) must be at least 2).

### Final Answer:
The correct options are (I) and (IV).