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Question

Consider the motion of a positive point charge in a region where are simultaneous uniform electric and magnetic field →E=E0^j and →B=B0^j. 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?If θ=0o, the charge undergoes helical motion with constant pitch along the y-axisIf θ=0o, the charge moves in a circular path in the x-z planeIf θ=90o, the charge undergoes linear but accelerated motion along the y-axisIf θ=10o, the charge undergoes helical motion with pitch increasing with time, along the y-axis

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

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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