Consider the following set of quantum numbers.

	n	$\mathcal{l}$	$m_{\mathcal{l}}$
A.	3	3	-3
B.	3	2	-2
C.	2	1	+1
D.	2	2	+2

The number of correct sets of quantum numbers is____________.

<p>n = 1, 2, 3 …….; &lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1813567638"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;&nbsp;<span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> <mo>=</mo> <mn>0</mn> </mrow> </math> </span>……. to n – 1, <span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </msub> <mo>=</mo> <mi mathvariant="script">l</mi> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mn>0</mn> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>+</mo> <mi mathvariant="script">l</mi> </mrow> </math> </span>&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1813567639"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;&nbsp;</p><p><strong>A. </strong>n = 3 &nbsp;<span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> <mo>=</mo> <mn>3</mn> </mrow> </math> </span> <span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>3</mn> </mrow> </math> </span> &nbsp;is incorrect as <span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> </mrow> </math> </span>&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1813567642"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;&nbsp;can not be equal to n.</p><p><strong>B. </strong>n = 3 &nbsp;<span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> <mo>=</mo> <mn>2</mn> </mrow> </math> </span> &nbsp;<span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </msub> </mrow> </math> </span>= -2 is correct set.</p><p><strong>C.</strong> n = 2 &nbsp;<span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> <mo>=</mo> <mn>1</mn> </mrow> </math> </span> <span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </msub> </mrow> </math> </span>= +2 is incorrect set as&nbsp;<span contenteditable="false"> <math> <mrow> <mi mathvariant="script">l</mi> </mrow> </math> </span>&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1034" DrawAspect="Content" ObjectID="_1813567647"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;can not be equal to n.</p><p>So; correct set of quantum numbers is B and C.</p>

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