A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields $\overrightarrow{E}$ and $\overrightarrow{B}$ with a velocity $\overrightarrow{v}$ perpendicular to both $\overrightarrow{E}$ and $\overrightarrow{B}$, and comes out without any change in magnitude or direction of $\overrightarrow{v}$. Then :

Question

( A ) $\overrightarrow{v} = \overrightarrow{B} \times \overrightarrow{E}/B^2$
( B ) $\overrightarrow{v} = \overrightarrow{B} \times \overrightarrow{E}/E^2$
( C ) $\overrightarrow{v} = \overrightarrow{E} \times \overrightarrow{B}/E^2$
( D ) $\overrightarrow{v} = \overrightarrow{E} \times \overrightarrow{B}/B^2$