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Q.

A charged particle is projected with velocity V in a region where both electric field E and magnetic field B exist  If the charged particle passes undeviated , then

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a

E→,B→ and V→ maybe parallel and v may have any value.

b

E→,B→ and V→ may be mutually perpendicular and v may have any value.

c

E→,B→ and V→ may be mutually perpendicular and V must be equal to E/B.

d

Both (1) and (3) are correct.

answer is D.

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Detailed Solution

If  E→,B→ and V→ are parallel, then magnetic force FB→=aV→×B→=0. So the particle will continue to move along E with increasing speed. If  E→,B→ and V→ are mutually perpendicular, then QE→+QV→×B→=0 ⇒v= E/B.
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A charged particle is projected with velocity V in a region where both electric field E and magnetic field B exist  If the charged particle passes undeviated , then