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Q. An electron projected with velocity $\vec{v}=v_{0} \hat{i}$ in the electric field $\vec{E}=E_{0} \hat{j}$. Trace the path followed by the electron $E_{0} $.

AIIMSAIIMS 2012Electric Charges and Fields

Solution:

Since, $\vec{v}=v_{0}\hat{i}$
$\vec{E}=E_{0}\hat{i}$
The electron is moving in x-direction perpendicular to the electric field which is in y-direction.
Thus, the path of electron moving perpendicular to field will be a parabola.