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MHT CET 2021 (21 Sep, Shift 1) · Motional EMF

Motional EMF question from MHT CET 2021 (21 Sep, Shift 1)

Q37MHT CET 2021 · 21 SEP · SHIFT 1Medium

Motional EMF

A wire of length ' $L$ '; having resistance ' $R$ ' falls from a height ' $\ell$ ' in earth's horizontal magnetic field ' $B$ '. The current through the wire is ( $g =$ acceleration due to gravity)

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Answer: (a)

Speed after falling height $\ell$ : $v = \sqrt{2g\ell}$ .
$\varepsilon = BLv = BL\sqrt{2g\ell}$
$I = \frac{\varepsilon}{R} = \frac{BL\sqrt{2g\ell}}{R}$ . So the answer is (a).

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