A metallic cube of side 15 cm moving along y -axis at a uniform… | JEE Main 2023 (11 Apr, Shift 2)

Q28JEE Main 2023 · 11 APR · SHIFT 2Medium

Motional EMF

A metallic cube of side $15\text{ cm}$ moving along $y$ -axis at a uniform velocity of $2\text{ ms}^{-1}$ . In a region of uniform magnetic field of magnitude $0.5\text{ T}$ directed along $z$ -axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be _________ mV.

Numerical answer type. Work it out, then open the answer.

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Answer: 150

$\vec v$ along $y$ , $\vec B$ along $z$ : $q\vec v\times\vec B$ is along $x$ , so charges collect on the faces normal to $x$ .
Equilibrium: $qE = qvB \Rightarrow V = Bva$ .
$V = 0.5 \times 2 \times 0.15 = 0.15$ V
Answer: $150$ mV.

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