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Electromagnetic Induction question for NEET / JEE Main, with solution

Q 12-06-016NEETJEE MainMedium

A conducting rod of length $0.5$ m slides at $2$ m/s on two parallel rails joined by a $1\ \Omega$ resistor, in a field of $1$ T perpendicular to the plane. The force needed to keep the rod moving at constant speed is (neglect other resistances)