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Question: Answered & Verified by Expert
A charged particle with charge $\mathrm{q}$ enters a region of constant, uniform and mutually orthogonal fields $\mathrm{\vec{E}}$ and $\mathrm{\vec{B}}$ with a velocity $\mathrm{\vec{v}}$ perpendicular to both $\mathrm{\vec{E}}$ and $\mathrm{\vec{B}}$, and comes out without any change in magnitude or direction of $\mathrm{\vec{v}}$. Then
PhysicsMagnetic Effects of CurrentJEE MainJEE Main 2007
Options:
  • A
    $\mathrm{\vec{v}=\vec{E} \times \vec{B} / B^2}$
  • B
    $\mathrm{\vec{v}=\vec{B} \times \vec{E} / B^2}$
  • C
    $\mathrm{\vec{v}=\vec{E} \times \vec{B} / E^2}$
  • D
    $\overrightarrow{\mathrm{v}}=\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{E}} / \mathrm{E}^2$
Solution:
2658 Upvotes Verified Answer
The correct answer is:
$\mathrm{\vec{v}=\vec{E} \times \vec{B} / B^2}$
$\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}}=-\overrightarrow{\mathrm{E}}$

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