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, a proton, a deuteron and an alpha particle, each having the same speed are in a region of constant magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively Re, Rp, Rd and Ra. It follows that                                                              [UPSEAT 2004]

    A)            \[{{R}_{e}}={{R}_{p}}\]    

    B)            \[{{R}_{p}}={{R}_{d}}\]

    C)            \[{{R}_{d}}={{R}_{\alpha }}\]

    D)            \[{{R}_{p}}={{R}_{\alpha }}\]

    Correct Answer: C

    Solution :

                       By using \[r=\frac{mv}{qB}=\frac{v}{\left( \frac{q}{m} \right)B}\Rightarrow r\propto \ \frac{1}{\left( q/m \right)}\]                    \[\because \ {{\left( \frac{q}{m} \right)}_{{{e}^{-}}}}>{{\left( \frac{q}{m} \right)}_{{{p}^{+}}}}>\left\{ {{\left( \frac{q}{m} \right)}_{d}}={{\left( \frac{q}{m} \right)}_{\alpha }} \right\}\]            \[\therefore \ {{R}_{d}}={{R}_{\alpha }}\]


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