A particle with charge $-Q$ and mass m enters a magnetic field of magnitude $B,$ existing only to the right of the boundary $YZ$. The direction of the motion of the $m$ particle is perpendicular to the direction of $B.$ Let $T = 2\pi\frac{m}{{QB}}$ . The time spent by the particle in the field will be 

  • A

    $T\theta$

  • B

    $2T\theta$

  • C

    $T\left( {\frac{{\pi  + 2\theta }}{{2\pi }}} \right)$

  • D

    $T\left( {\frac{{\pi  - 2\theta }}{{2\pi }}} \right)$

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