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Question: A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields...

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

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Answer
Explanation

Solution

When and are perpendicular and velocity has no changes then qE = qvB i.e.v=EBv = \frac { E } { B } the two forces oppose each other so V is along i.e. V=E×BB2\vec { V } = \frac { \vec { E } \times \vec { B } } { B ^ { 2 } } As and are perpendicular to each other