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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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