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Magnetism question

2012 · Shift 1 · Q52
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Magnetism question

2012 · Shift 1 · Q52

JEE AdvancedPhysicsMagnetismMultiple correct+4 / −2
Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields E→=E0j^\overrightarrow E = {E_0}\widehat jE=E0​j​ and B→=B0j^\overrightarrow B = {B_0}\widehat jB=B0​j​. At time t = 0, this charge has velocity v→\overrightarrow vv in the xy-plane, making an angle θ\thetaθ with the x-axis. Which of the following option(s) is(are) correct for time t > 0 ?
  1. A
    If θ\thetaθ = 0 ∘^\circ∘, the charge moves in a circular path in the xy-plane.
  2. B
    If θ\thetaθ = 0 ∘^\circ∘, the charge undergoes helical motion with constant pitch along the y-axis.
  3. C
    If θ\thetaθ = 10 ∘^\circ∘, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.
  4. D
    If θ\thetaθ = 90 ∘^\circ∘, the charge undergoes linear but accelerated motion along the y-axis.
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