A particle of mass M and charge Q is projected in a uniform magnetic field of induction B in a direction perpendicular to the field. Then length of path traversed by the particle in time t=$\frac{2\pi M}{QB} is$

• A

  $\mathrm{BQv}2\mathrm{\pi R}$

• B

  $\left(\frac{{\mathrm{Mv}}^2}{\mathrm{R}}\right)2\mathrm{\pi R}$

• C

  $\frac{2\mathrm{\pi MV}}{QB}$

• D

  $\mathrm{BQ}2\mathrm{\pi R}$