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Question: Answered & Verified by Expert
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:
PhysicsElectromagnetic InductionJEE MainJEE Main 2023 (08 Apr Shift 2)
Options:
  • A 0.5 m s-1
  • B 20 m s-1
  • C 3.2 m s-1
  • D 2 m s-1
Solution:
2499 Upvotes Verified Answer
The correct answer is: 2 m s-1

The formula to calculate the motional emf induced in a moving conductor in a magnetic field is given by

ε=Blv   ...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 m100 cm×vv=0.08 V0.4 T×10 cm×1 m100 cm= 2 m s-1

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