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A 20 m long uniform copper wire held horizontally is allowed to fall under gravity (g = 10 m/s²) through a uniform horizontal magnetic field of 0.5 gauss perpendicular to the length of the wire. The induced EMF across the wire when it travels a vertical distance of 200 m is _____ mV.

Asked in JEE Main 23rd Jan 1st Shift 2026 · Free conductor moving in a field

Answer: (2) 20

Step-by-step solution

Falling 200 m from rest: v=√2gh=√2×10×200=20√10 m s⁻¹.

ε=Bℓ v=0.5×10⁻⁴×20×20√10.

ε=20√10 mV.

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