Consider the motion of a positive point charge in a region where are simultaneous uniform electric and magnetic field E=E0j^ and B=B0j^. At time t=0, this charge has velocity v 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?
This question has multiple correct options
If θ=0o, the charge moves in a circular path in the x-z plane
If θ=0o, the charge undergoes helical motion with constant pitch along the y-axis
If θ=10o, the charge undergoes helical motion with pitch increasing with time, along the y-axis
If θ=90o, the charge undergoes linear but accelerated motion along the y-axis
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Updated on : 2022-09-05
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Correct options are C) and D)
If θ=0o then due to magnetic force path is circular but due to force qE0(↑)q will have accelerated motion along y-axis. So combined path of q will be a helical path with variable pitch so (a) and (b) are wrong. If θ=10o, then due to vcosθ, path is circular and due to qE0 and vsinθ, q has accelerated motion along y-axis so combined path is a helical path with variable pitch (C) is correct. If θ=90o then FB=0 and due to qE0 motion is accelerated along y-axis (D).
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