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

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