A) the proton will be accelerated along the axis
B) the proton path will be circular about the axis
C) the proton moves along helical path
D) the proton will continue to move with velocity v along the axis.
Correct Answer: D
Solution :
Force on the proton, \[{{\overrightarrow{F}}_{B}}=e\left( \overrightarrow{v}\times \overrightarrow{B} \right)\] Since, \[\overrightarrow{v}\] is parallel to \[\overrightarrow{B}\] \[\therefore \,\,\,\,\,\,\,\,{{\overrightarrow{F}}_{B}}=0\] Hence proton will continue to move with velocity v along the axis of solenoid.
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