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Q.

In a region of space both electric and magnetic fields exist. A charge particle is fired in that field and it passes unaccelerated. Then

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a

E→ and B→ are parallel

b

E→ and B→ are mutually perpendicular

c

E→ and B→ are mutually perpendicular and velocity of projection  V→ must be perpendicular to both E→ and B→ and B = EV

d

If velocity of projection is  V→ then E→, B→ and  V→must be mutually perpendicular and E = BV

answer is D.

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Detailed Solution

Lorentz force F→ =QV→×B→ + QE→Since acceleration is zero,QV→×B→ + QE→=0⇒E→=B→×V→From the equation it is evident that E→, B→ and V→ are mutually perpendicular.
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In a region of space both electric and magnetic fields exist. A charge particle is fired in that field and it passes unaccelerated. Then