Question:
For any sub-shell defined by '$l$' value how many values of magnetic quantum number ($m_l$) are possible? ________.
For any sub-shell defined by '$l$' value how many values of magnetic quantum number ($m_l$) are possible? ________.
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$m_l$ values: $-l, \dots, 0, \dots, +l$.
Updated On: Jun 26, 2026
- $(2l)$
- $(2l-1)$
- $(2l+1)$
- $(l+1)$
- $(l-1)$
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The Correct Option is C
Solution and Explanation
Step 1: Concept
The magnetic quantum number $m_l$ depends on the azimuthal quantum number $l$.
Step 2: Meaning
$m_l$ values range from $-l$ to $+l$, including zero.
Step 3: Analysis
Total number of values $= l \text{ (negative)} + 1 \text{ (zero)} + l \text{ (positive)}$.
Step 4: Conclusion
Total values $= 2l + 1$. Final Answer: (C)
The magnetic quantum number $m_l$ depends on the azimuthal quantum number $l$.
Step 2: Meaning
$m_l$ values range from $-l$ to $+l$, including zero.
Step 3: Analysis
Total number of values $= l \text{ (negative)} + 1 \text{ (zero)} + l \text{ (positive)}$.
Step 4: Conclusion
Total values $= 2l + 1$. Final Answer: (C)
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