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Question

A charge particle goes undeflected in a region containing electric and magnetic fields. It is possible that (more than one may be correct)

A
E||B, v||E
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B
E is not parallel to B
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C
v||B but E is not parallel to B
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D
E||B but v is not parallel to E
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Solution

The correct option is B E||B, v||E
F=q(v×B)+qE
In the option (A), the force due to magnetic field is zero and the force is along electric field.
Therefore the particle is undeflected.
In all other cases, force is not along the direction of the particle.

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