A particle is released from the origin with a velocity \( v \hat{i} \). The electric field in th...

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A particle is released from the origin with a velocity \( v \hat{i} \). The electric field in the region is \( E \hat{i} \) and magnetic field is \( B \hat{k} \). Then
(1) If \( v=0 \) and \( E=0 \) then particle will execute a circular path.
(2) If \( v=0, E \neq 0 \) and particle is positively charged then it executes clockwise circle as seen from \( +z \) direction.
(3) If \( v=0 \) and \( E \neq 0 \) then the particle will execute a cycloidal motion in the \( x-y \) plane.
(4) If \( v0 \) and \( E=0 \) and the particle is positively charged and \( B0 \) then the particle will execute anticlockwise circle as seen from \( +z \) direction:
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