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NEET UG PHYSICS MCQ: MAGNETIC EFFECT OF CURRENT

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A charged particle with charge qq enters a region of constant, uniform and mutually orthogonal fields E\mathbf{E} and B\mathbf{B} with a velocity v\mathbf{v} perpendicular to both E  and  B\mathbf{E}\;and\;\mathbf{B}, and comes out without any change in magnitude or direction of v\mathbf{v}. Then
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Correct option: A
v  =  E  ×  B/B2\mathbf{v}\; = \;\mathbf{E}\; \times \;\mathbf{B}/{\mathrm{B}^2}
Option A is correct because the condition for a charged particle to move undeflected in mutually perpendicular electric and magnetic fields is v=E×B/B2\mathbf{v} = \mathbf{E} \times \mathbf{B}/{\mathrm{B}^2}.

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