Physics · Electromagnetic Induction

JEE Main 2024 — 29 January, Shift 2 — Question 50

A horizontal straight wire 5m long extending from east to west falling feely at right angle to horizontal component of earths magnetic field $0.60\times {{10}^{-4}}\text{Wb}{{\text{m}}^{-2}}$ . The instantaneous value of emf induced in the wire when its velocity is 10 $m{{s}^{-1}}$ is _____ $\times {{10}^{-3}}V$

Answer: 3

Numerical answer — enter this value.

Step-by-step solution

{{B}_{H}}=0.60\times {{10}^{-4}}Wb/{{m}^{2}}

Induced emf $$\begin{aligned} & e={{B}_{H}}v\ell \ & =0.60\times {{10}^{-4}}\times 10\times 5 \ & =3\times {{10}^{-3}}V \ \end{aligned}$$$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 29 January, Shift 2
Subject: Physics
Chapter: Electromagnetic Induction
Topic: Motional EMF