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

  • question_answer
    A uniform magnetic field B is acting from south to north and is of magnitude 1.5 \[Wb/{{m}^{2}}\]. If a proton having mass \[=1.7\times {{10}^{-27}}\,kg\] and charge \[=1.6\times {{10}^{-19}}\,C\] moves in this field vertically downwards with energy 5 MeV, then the force acting on it will be                                     [Pb. PMT 2002]

    A)            \[7.4\times {{10}^{12}}\,N\] 

    B)            \[7.4\times {{10}^{-12}}\,N\]

    C)            \[7.4\times {{10}^{19}}\,N\] 

    D)            \[7.4\times {{10}^{-19}}\,N\]

    Correct Answer: B

    Solution :

                       \[F=qvB\] and \[K=\frac{1}{2}m{{v}^{2}}\] Þ \[F=qB\sqrt{\frac{2k}{m}}\] \[=1.6\times {{10}^{-19}}\times 1.5\sqrt{\frac{2\times 5\times {{10}^{6}}\times 1.6\times {{10}^{-19}}}{1.7\times {{10}^{-27}}}}\]  \[=7.344\times {{10}^{-12}}\,N\]


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