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Olympiad workbookNSEPElectromagnetic Induction

A metal rod of mass m and length slides on frictionless parallel metal rails of negligible resistance, A resistance R is connected between the rails at their ends as shown in the figure. A uniform magnetic field B is directed into the plane of paper perpendicular to the plane of rails throughout the space. The rod is given an initial velocity v₀ (towards right). No other force acts on the rod. Then

Options

  1. Av(t)=v₀ e^ -B t_t m R
  2. Bthe rod stops after traveling a distance x= m v₀ R B^2 ^2
  3. Cthe total energy dissipated in resistance is 1 4 m v₀^2 i.e. half of the initial kinetic energy
  4. Dthe total charge that flows in the circuit is q= m v₀ B

Correct answer

D. the total charge that flows in the circuit is q= m v₀ B

Step-by-step solution

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