question_answer

A particle of mass M and charge Q moving with velocity \[\overset{\to }{\mathop{v}}\,\]describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is                                                                                           [AIEEE 2003]

A)            \[B\,Qv\,2\pi \,R\]             

B)            \[\left( \frac{M{{v}^{2}}}{R} \right)\,2\pi R\]

C)            Zero                                         

D)            \[BQ2\pi R\]