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Consider the motion of a positive point ...

Consider the motion of a positive point charge in a region where area simultaneous uniform electric and magnetic fields ` vec(E) = E_(0) hat(j)` and ` vec(B) = B_(0) hat(j)`. At time ` t = 0` , this charge has velocity ` vec(v)` in the ` x-y `plane , making an angle ` theta` with the ` x-axis `. Which of the following option(s) is (are) correct for time ` t gt 0`?

A

If `theta=0^(@)`, the charge moves in a circular path in the x-z plane.

B

If `theta=0^(@)`, the charge undergoes helical motion with constant pitch along the y-axis.

C

If `theta=10^(@)`, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.

D

If `theta=90^(@)`, the charge undergoes linear but acclerated motion along the y-axis.

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The correct Answer is:
C, D
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