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Question

A proton moving with a velocity V is acted upon by electric field E and magnetic field B. The proton will move undeflected if
  1. E is parallel to V and perpendicular to B
  2. E, V and B are mutually perpendicular and V=E/B
  3. E is parallel to B and both are perpendicular to V
  4. E is perpendicular to B

A
E is perpendicular to B
B
E is parallel to B and both are perpendicular to V
C
E, V and B are mutually perpendicular and V=E/B
D
E is parallel to V and perpendicular to B
Solution
Verified by Toppr

Force due to magnetic field =Force due to electric field
q(V×B)=qE
V×B=E
So, E, V and B are mutually perpendicular and VB = E (sin900=1)
or V=EB

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