Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields $$\overrightarrow{E} = E_0 \hat{j}$$ and $$\overrightarrow{B} = B_0 \hat{j}$$. At time t = 0, this charge has velocity $$\overrightarrow{v}$$ 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 > 0?

A

if $$\theta = 0^\circ$$, the charge moves in circular path in the x-z plane.

B

If $$\theta = 0^\circ$$, the charge undergoes helical motion with constant pitch along the y-axis.

C

If $$\theta = 10^\circ$$, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.

D

If $$\theta = 90^\circ$$, the charge undergoes linear but accelerated motion along the y-axis.