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A charged particle with charge q enters ...

A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields `vecE and vecB` with a velocity `vecv` perpendicular toboth `vecE and vecB`, and comes out without any change in its magnitude or direction. Then

A

`vecv=vecExxvecB//B^(2)`

B

`vecv=vecExxvecE//B^(2)`

C

`vecv=vecExxvecE//E^(2)`

D

`vecv=vecBxxvecE//E^(2)`

Text Solution

Verified by Experts

The correct Answer is:
1

`qvecvxxvecB=qvecE`...(1)
Taking cross product of equation `(1)` with `vecB`
`q(vecvxxvecB)xxvecB=q(vecExxvecB)`
`vecv=vecExxvecB//B^(2)`
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