A proton of mass $1.67\times10^{-27}\, kg$ and charge $1.6\times10^{-19}\, C$ is projected with a speed of $2\times10^6\, m/s$ at an angle of $60^o$ to the $X-$ axis. If a uniform magnetic field of $0.104\, tesla$ is applied along the $Y-$ axis, the path of the proton is

  • A

    A circle of radius $ \cong $ $0.1\, m$ and time period $2\pi \times10^{-7}\, s$.

  • B

    A circle of radius $ \cong $ $0.2\, m$ and time period $7\pi \times10^{-7}\, s$.

  • C

    A helix of radius $ \cong $ $0.1\, m$ and time period $2\pi \times10^{-7}\, s$.

  • D

    A helix of radius $ \cong $ $0.2\, m$ and time period $4\pi \times10^{-7}\, s$.

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