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QJEEM24Ph0d68: JEE Main 2024 Physics - Class 12 JEEM24Ph0d68 Solution: A moving coil galvanometer has 100 turns and each turn has an…

A moving coil galvanometer has 100 turns and each turn has an area of 2.0 cm22.0 \mathrm{~cm}^2 . The magnetic field produced by the magnet is 0.01 T0.01 \mathrm{~T} and the deflection in the coil is 0.05 radian when a current of 10 mA10 \mathrm{~mA} is passed through it. The torsional constant of the suspension wire is x×10−5 N−m/radx \times 10^{-5} \mathrm{~N}-\mathrm{m} / \mathrm{rad} . The value of xx is _______ .

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padding-right: 0px; padding-top: 0.15em; padding-bottom: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd extra="true"></mjx-mtd></mjx-mtr><mjx-mtr><mjx-mtd style="text-align: right; padding-right: 0px; padding-top: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd style="text-align: left; padding-left: 0px; padding-top: 0.15em;"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c78"></mjx-c></mjx-mi></mjx-texatom><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c34"></mjx-c></mjx-mn><mjx-tstrut></mjx-tstrut></mjx-mtd></mjx-mtr></mjx-itable></mjx-table></mjx-mtable></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mtable displaystyle="true" columnalign="right left" columnspacing="0em" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>τ</mi><mo>=</mo><mtext>&nbsp;BINAsin&nbsp;</mtext><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">C</mi></mrow><mi>θ</mi><mo>=</mo><mtext>&nbsp;BINAsin&nbsp;</mtext><msup><mn>90</mn><mrow data-mjx-texclass="ORD"><mo>∘</mo></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">C</mi></mrow><mo>=</mo><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">BINA</mi></mrow><mi>θ</mi></mfrac><mo>=</mo><mfrac><mrow><mn>0.01</mn><mo>×</mo><mn>10</mn><mo>×</mo><msup><mn>10</mn><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>3</mn></mrow></msup><mo>×</mo><mn>100</mn><mo>×</mo><mn>2</mn><mo>×</mo><msup><mn>10</mn><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>4</mn></mrow></msup></mrow><mn>0.05</mn></mfrac></mtd></mtr><mtr><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mi></mi><mo>=</mo><mn>4</mn><mo>×</mo><msup><mn>10</mn><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>5</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mtext>&nbsp;</mtext><mi mathvariant="normal">N</mi></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">m</mi></mrow><mrow data-mjx-texclass="ORD"><mo>/</mo></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-auto-op="false">rad</mi></mrow><mo>.</mo></mtd></mtr><mtr><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">x</mi></mrow><mo>=</mo><mn>4</mn></mtd></mtr></mtable></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container>

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