The balancing length for a cell is $560\mathrm{c}\mathrm{m}$ in a potentiometer experiment. When an external resistance of $10\mathrm{\Omega }$ is connected in parallel to the cell, the balancing length changes by $60\mathrm{c}\mathrm{m}$ . If the internal resistance of the cell is $\frac{N}{10}\mathrm{\Omega }$ , where $N$ is an integer then value of $N$  is

$\mathrm{}{r}_{\text{in}}=\left(\frac{{\mathcal{l}}_1-{\mathcal{l}}_2}{{\mathcal{l}}_2}\right)R_{\text{ext}}=\frac{60}{500}\times 10$

$r=\frac{6}{5}=1.2\mathrm{\Omega }$

$\mathrm{n}=12$

 

<p><span contenteditable="false"> <math> <mrow> <mi mathvariant="normal"> </mi> </mrow> <msub> <mrow> <mrow> <mi>r</mi> </mrow> </mrow> <mrow> <mrow> <mtext>in</mtext> <mtext>&nbsp;</mtext> </mrow> </mrow> </msub> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mfrac> <mrow> <mrow> <msub> <mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </mrow> <mrow> <mrow> <mn>1</mn> </mrow> </mrow> </msub> <mo>-</mo> <msub> <mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> </mrow> </mrow> <mrow> <mrow> <msub> <mrow> <mrow> <mi mathvariant="script">l</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> </mrow> </mrow> </mfrac> </mrow> </mrow> </mfenced> <msub> <mrow> <mrow> <mi>R</mi> </mrow> </mrow> <mrow> <mrow> <mtext>ext</mtext> <mtext>&nbsp;</mtext> </mrow> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mrow> <mn>60</mn> </mrow> </mrow> <mrow> <mrow> <mn>500</mn> </mrow> </mrow> </mfrac> <mo>×</mo> <mn>10</mn> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><p><span contenteditable="false"> <math> <mi>r</mi> <mo>=</mo> <mfrac> <mrow> <mrow> <mn>6</mn> </mrow> </mrow> <mrow> <mrow> <mn>5</mn> </mrow> </mrow> </mfrac> <mo>=</mo> <mn>1.2</mn> <mi mathvariant="normal">Ω</mi> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><p><span contenteditable="false"> <math> <mi mathvariant="normal">n</mi> <mo>=</mo> <mn>12</mn> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1755769156phpjQBkHP.jpeg" alt="" width="545" height="208" loading="lazy"></picture></div></div><p>&nbsp;</p>

0 Upvotes 0 Upvotes 0 Downvotes

• • Report Abuse
• Comment