A) angle between \[\vec{V}\]and\[\vec{B}\] is necessarily\[90{}^\circ \]
B) angle between\[\vec{V}\]and\[\vec{B}\]can have any value other than \[90{}^\circ \]
C) angle between \[\vec{V}\]and \[\vec{B}\]can have any value other than zero and\[180{}^\circ \]
D) angle between \[\vec{V}\]and\[\vec{B}\]is either zero or \[180{}^\circ \]
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 field applied, the charge q experiences a force which is given by \[F=qvB\sin \theta \]If \[\theta ={{0}^{o}}\]or \[{{180}^{o}},\]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\[{{180}^{o}}\].
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