A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the Earth’s magnetic field at that place is 4 × 10^-3 T and the angle of dip is 45°. The emf induced in the rod is………….mV.

<p><span contenteditable="false"> <math> <mrow> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>δ</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mrow> <mi>B</mi> </mrow> <mrow> <mi>v</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>B</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </math> </span></p><p><span contenteditable="false"> <math> <mrow> <mi>B</mi> <mi>v</mi> <mo>=</mo> <msub> <mrow> <mi>B</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mn>4</mn> <mn>5</mn> </mrow> </math> </span><strong> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</strong> &lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;</p><p>= 4 × 10^-³</p><p>emf induced in the rod is = <span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>B</mi> </mrow> <mrow> <mi>v</mi> </mrow> </msub> <mi>v</mi> <mi mathvariant="script">l</mi> </mrow> </math> </span>&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;</p><p><span contenteditable="false"> <math> <mrow> <mo>=</mo> <mn>4</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>×</mo> <mn>2</mn> <mn>0</mn> <mo>×</mo> <mfrac> <mrow> <mn>2</mn> <mn>0</mn> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> </mrow> </math> </span> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;</p><p><span contenteditable="false"> <math> <mtable columnalign="left"> <mtr> <mtd> <mrow> <mo>=</mo> <mn>1</mn> <mn>6</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <mn>1</mn> <mn>6</mn> <mi>m</mi> <mi>v</mi> </mrow> </mtd> </mtr> </mtable> </math> </span>&nbsp; &lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;</p>

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