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

  • question_answer
    An electron (mass = \[9.1\times {{10}^{-31}}\] kg; charge = \[1.6\times {{10}^{-19}}\]C) experiences no deflection if subjected to an electric field of \[3.2\times {{10}^{5}}\]V/m, and a magnetic fields of \[2.0\times {{10}^{-3}}\] Wb/m2. Both the fields are normal to the path of electron and to each other. If the electric field is removed, then the electron will revolve in an orbit of radius                                                                 [BCECE 2005]

    A)            45 m                                        

    B)            4.5 m

    C)            0.45 m                                     

    D)            0.045 m

    Correct Answer: C

    Solution :

                       For no deflection in mutually perpendicular electric and magnetic field \[v=\frac{E}{B}=\frac{3.2\times {{10}^{5}}}{2\times {{10}^{-3}}}=1.6\times {{10}^{8}}\,m/s\].                    If electric field is removed then due to only magnetic field radius of the path described by electron \[r=\frac{mv}{qB}=\frac{9.1\times {{10}^{-31}}\times 1.6\times {{10}^{8}}}{1.6\times {{10}^{-19}}\times 2\times {{10}^{-3}}}=0.45\,m\]


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