A rectangular loop PQMN with movable arm PQ of length 12 cm and… | MHT CET 2021 (24 Sep, Shift 2)

Q35MHT CET 2021 · 24 SEP · SHIFT 2Easy

Motional EMF

A rectangular loop $PQMN$ with movable arm $PQ$ of length $12\text{ cm}$ and resistance $2\ \Omega$ is placed in a uniform magnetic field of $0.1\text{ T}$ acting perpendicular to the plane of the loop as shown in figure. The resistances of the arms MN, NP and MQ are negligible. The current induced in the loop when arm PQ is moved with velocity $20\text{ ms}^{-1}$ is

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Answer: (a)

Emf in moving arm: $\varepsilon = Blv = 0.1 \times 0.12 \times 20 = 0.24$ V.
Only PQ has resistance: $I = \frac{\varepsilon}{R} = \frac{0.24}{2}$ .
$I = 0.12$ A. So the answer is (a).

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Motional EMF question from MHT CET 2021 (24 Sep, Shift 2)

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