Q74 / 90 · JEE Main 2022 (26 Jun Shift 2) · Physics

A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s-1. If the horizontal component of earth's magnetic field is 0.2×10-4 T, then emf induced between the two ends of the conductor is

  • A
    5μV
  • Correct answer
    B
    50μV
  • C
    5 mV
  • D
    50 mV

Solution

Given here,  BH=0.2×10-4 T, ω=5 rad s-1 and l= 1 m.

Emf induced in a rotating conducting rod is given by,

ε=12Bωl2

Substituting the given values, we obtain

ε=12×0.2×10-4×5×12=0.5×10-4 V=50 μV

Hence, the correct answer is option: 'B'.

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