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JEE Main20238 Apr 2023Evening ShiftPhysicsElectromagnetic InductionActual

An emf of 0 . 08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0 . 4 T , when move with a velocity of:

Options

  1. A0 . 5   m   s - 1
  2. B20   m   s - 1
  3. C3 . 2   m   s - 1
  4. D2   m   s - 1

Correct answer

D. 2   m   s - 1

Step-by-step solution

The formula to calculate the motional emf induced in a moving conductor in a magnetic field is given by ε = B l v       . . . 1 Substitute the values of the known parameters into equation (1) and solve to calculate the required velocity of the rod. 0 . 08   V = 0 . 4   T × 10   cm × 1   m 100   cm × v ⇒ v = 0 . 08   V 0 . 4   T × 10   cm × 1   m 100   cm =   2   m   s - 1

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