A particle of mass $M$ and charge $Q$ moving with velocity $\overrightarrow{v}$ 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 :

Question

( A ) $(\frac{Mv^2}{R}) 2 \pi R$
( B ) $B Q v2 \pi R$
( C ) zero
( D ) $BQ2 \pi R$