Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: The potential ( $V$ ) at any axial point, at 2 m distance ( $r$ ) from the centre of the dipole of dipole moment vector $\dot{P}$ of magnitude, $4\times 10^{-6}Cm$ , is $\pm 9\times 10^3 V$ .

(Take $\frac{1}{4\pi {ϵ}_0}=9\times 10^9$ SI units)

Reason R :  $V=\pm \frac{2P}{4\pi {?}_0{r}^2}$ , where $r$  is the distance of any axial point, situated at 2 m from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

<p><span lang="EN-IN">The potential <span contenteditable="false"> <math> <mrow> <mi>V</mi> </mrow> </math> </span> at any point, at distance <span contenteditable="false"> <math> <mrow> <mi>r</mi> </mrow> </math> </span>from centre of dipole <span contenteditable="false"> <math> <mrow> <mo>=</mo> <mfrac> <mrow><mi>K</mi><mi>P</mi>cos<mi>θ</mi></mrow> <mrow> <msup> <mrow> <mi>r</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </math> </span>&lt;!- [endif]-&gt;&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1816432351"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</span></p><p><span lang="EN-IN">At axial point where&nbsp;<span contenteditable="false"> <math> <mrow><mi>θ</mi><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>? </mo></mrow></msup><mo>, </mo><mi>V</mi><mo>=</mo><mfrac><mrow><mi>K</mi><mi>P</mi></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>9</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>9</mn></mrow></msup><mo>×</mo><mn>4</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow><mrow><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>=</mo><mn>9</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>3</mn></mrow></msup>&nbsp;V</mrow> </math> </span>&lt;!- [endif]-&gt;&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1816432352"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</span></p><p><span lang="EN-IN">At axial point where&nbsp;<span contenteditable="false"> <math> <mrow><mi>θ</mi><mo>=</mo><mn>1</mn><mn>8</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>? </mo></mrow></msup><mo>, </mo><mi>V</mi><mo>=</mo><mfrac><mrow><mo>−</mo><mi>K</mi><mi>P</mi></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>=</mo><mo>−</mo><mn>9</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>3</mn></mrow></msup>&nbsp;V</mrow> </math> </span>&lt;!- [endif]-&gt;&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1816432353"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</span></p>

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