A proton of velocity $\left( {3\hat i + 2\hat j} \right)\,ms^{-1}$ enters a magnetic field of  $(2\hat j + 3\hat k)\, tesla$. The acceleration produced in the proton is (charge to mass ratio of proton $= 0.96 \times10^8\,Ckg^{-1}$)

  • A

    $2.88 \times {10^8}\left( {2\hat i - 3\hat j} \right)\,m/s^2$

  • B

    $2.88 \times {10^8}\left( {2\hat i - 3\hat j + 2\hat k} \right)\,m/s^2$

  • C

    $2.88 \times {10^8}\left( {2\hat i + 3\hat k} \right)\,m/s^2$

  • D

    $2.88 \times {10^8}\left( {\hat i - 3\hat j + 2\hat k} \right)\,m/s^2$

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  • [JEE MAIN 2020]

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