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Question: Answered & Verified by Expert
A rod of length $20 \mathrm{~cm}$ is rotating with angular speed of $100 \mathrm{rps}$ in a magnetic field of strength $0.5 T$ about it's one end. What is the potential difference between two ends of the rod
PhysicsElectromagnetic InductionJEE Main
Options:
  • A $2.28 \mathrm{~V}$
  • B $4.28 \mathrm{~V}$
  • C $6.28 \mathrm{~V}$
  • D $2.5 \mathrm{~V}$
Solution:
1499 Upvotes Verified Answer
The correct answer is: $6.28 \mathrm{~V}$
$e=\left.\frac{1}{2} B\right|^2 \omega=B I^2 \pi v$
$\Rightarrow e=0.5\left(20 \times 10^{-2}\right)^2 \times 3.14 \times 100=6.28 \mathrm{~V}$

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