The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8\times 10^8 N m^{-2}$ and $2\times 10^{11} N m^{-2}$ , is:

<p><span lang="EN-IN">In the case for maximum elongation, </span></p><p><span lang="EN-IN">Stress = Elastic limit</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>δ</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mrow> <mi>σ</mi> </mrow> <mrow>elastic&nbsp;</mrow> </msub> <mo>×</mo> <mi>L</mi> </mrow> <mrow>&nbsp;Young's&nbsp;modulus&nbsp;</mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>8</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>8</mn> </mrow> </msup> <mo>×</mo> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>1</mn> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mo>=</mo> <mn>4</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </math> </span>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow><mo>=</mo><mn>4</mn>&nbsp;mm</mrow> </math> </span>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p><p><span lang="EN-IN">i.e. maximum elongation is 4 mm</span></p>

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