A) angle between \[\overrightarrow{v}\] and \[\overrightarrow{B,}\]is necessarily 90°
B) angle between \[\overrightarrow{v}\] and \[\overrightarrow{B,}\]can have any value other than 90°
C) angle between \[\overrightarrow{v}\] and \[\overrightarrow{B,}\] can have any value other than zero and 180°
D) angle between \[\overrightarrow{v}\] and \[\overrightarrow{B,}\] is either zero or 180°
Correct Answer: C
Solution :
When a charged particle q is moving in a uniform magnetic field\[\vec{B}\] with velocity \[\vec{v}\] such that angle between \[\vec{v}\]and \[\vec{B}\]be \[\theta ,\] then due to interaction between the magnetic field produced due to moving charge and magnetic force applied, the charge q experiences a force which is given by \[F=qvB\sin \theta \] If \[\theta ={{0}^{0}}\]or \[{{180}^{0}},\]then \[\sin \theta =0\] \[\therefore \] \[F=qvB\sin \theta =0\] Since, force on charged particle is non-zero, so angle between \[\vec{v}\]and\[\vec{B}\] can have any value other than zero and \[{{180}^{o}}.\] Note: Force experienced by the charged particle is Lorentz force.
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