A metallic conductor of length 1m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5rad s^-1. If the horizontal component of earth’s magnetic field is 0.2 × 10^-4T, then emf induced between the two ends of the conductor is:

<p>emf induced =&nbsp;<math><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>H</mi></mrow></msub><mfrac><mrow><mi>ω</mi><msup><mrow><mi mathvariant="script">l</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></math></p><p><math><mtable columnalign="left"><mtr><mtd><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup><mo>×</mo><mn>5</mn><mo>×</mo><mfrac><mrow><msup><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mrow><mo>=</mo><mn>5</mn><mn>0</mn><mi>μ</mi><mi>v</mi></mrow></mtd></mtr></mtable></math></p>

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