ElectroMagnetic InductionHard

Question

Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields . At time t = 0, this charge has velocity in the x-y plane,making an angle θ with the x-axis. Which of the following option(s) is (are) correct for time t > 0?

Options

A.If θ = 0o, the charge moves in a circular path in the x-z plane.
B.If θ = 0o, the charge undergoes helical motion with constant pitch along the y-axis.
C.If θ = 10o, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.
D.If θ = 90o, the charge undergoes linear but accelerated motion along the y-axis.

Solution

If θ = 90o, exerts no force on q.
If θ = 0o, 10o; the charge particle moves in helix with increasing pitch due to along y-axis.

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