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Q.

A charged particle goes undeflected in a region containing electric and magnetic fields. It is possible that 

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a

E||B  but  V is not parallel to  E

b

V||B  but  E is not parallel to B

c

 E is not parallel to  B

d

E||B,V||E

answer is A, B.

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Detailed Solution

If electric field is parallel to magnetic field, the charged particle moving parallel to  E experiences a force in the direction of E , due to  B there will not be any force. Hence, no deflection. 

The particle may go undeflected in the case when forces due to electric field and magnetic field cancel each other. 

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