JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Motion of Charged Particle In Magnetic Field

  • question_answer
    A proton of energy 200 MeV enters the magnetic field of 5 T. If direction of field is from south to north and motion is upward, the force acting on it will be                     [RPET 1997]

    A)            Zero                                         

    B)            \[1.6\times {{10}^{-10}}N\]

    C)            \[3.2\times {{10}^{-8}}N\]     

    D)            \[1.6\times {{10}^{-6}}N\]

    Correct Answer: B

    Solution :

                       \[F=qvB\] also Kinetic energy \[K=\frac{1}{2}m{{v}^{2}}\]\[\Rightarrow v=\sqrt{\frac{2K}{m}}\]                    \ \[F=q\sqrt{\frac{2K}{m}}B\]                    \[=1.6\times {{10}^{-19}}\sqrt{\frac{2\times 200\times {{10}^{6}}\times 1.6\times {{10}^{-19}}}{1.67\times {{10}^{-27}}}}\times 5\]            \[=1.6\times {{10}^{-10}}N\]


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