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JIPMER2010PhysicsMagnetic Effects of Current

An electron of mass m and charge q is travelling with a speed v along a circular path of radius r at right angles to a uniform magnetic field B . If speed of the electron is doubled and the magnetic field is halved, then resulting path would have a radius of

Options

  1. Ar 4
  2. Br 2
  3. C2 r
  4. D4 r

Correct answer

D. 4 r

Step-by-step solution

In a perpendicular magnetic field, Magnetic force = centripetal force ie, aligned & B q v= m v^2 r r= m v B q & r₁ r₂ = v₁ v₂ B₂ B₁ & r₁ r₂ = 1 2 1 2 & r₂=4 r₁ & r₂=4 r & aligned

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