A) E is perpendicular to B
B) E is parallel to v and perpendicular to B
C) E, B and v are mutually perpendicular and \[v=\frac{E}{B}\]
D) E and B both are parallel to v
Correct Answer: C
Solution :
If magnetic field B, and electric field E are perpendicular to the direction of motion of proton, then proton will move without any deflection. So, magnetic force = electric force. \[evB=eE\] \[\therefore \] \[v=\frac{E}{B}\] \[\therefore \]E, B and v are mutually perpendicular and \[v=E/B\]
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