Q.

Let E→ and B→ denote the electric and magnetic fields in a certain region of space. A proton moving with a velocity along a straight line enters the region and is found to pass through it undeflected. Indicate which of the following statements are consistent with the observations:

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a

E→=0 and B→=0

b

E→≠0 and B→=0

c

E→≠0 and B→≠0 both E→ and B→ are parallel to v→

d

E→ is parallel to v→ but B→ is perpendicular to v→

answer is A.

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Detailed Solution

If a charge particle experiences no electromagnetic force, then electric field must be zero (as F→=qE→). The magnetic field may or may not be zero as a charge particle at rest or moving in the direction of magnetic field experiences no force.(a) When both E→ and B→ are 0, it is undeflected.(b) If E→ is non-zero and B=0, it will move in the direction of E and remains undeflected.(c) E→ is non-zero, force will be in direction of E. B is non-zero and V is parallel to B→.(d) F→=qv→×B→ will not be zero due to B→ and proton will not move in the direction of E→ because of F→.
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