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

  • question_answer
    A deutron of kinetic energy 50 keV is describing a circular orbit of radius 0.5 metre in a plane perpendicular to magnetic field \[\overrightarrow{B}\]. The kinetic energy of the proton that describes a circular orbit of radius 0.5 metre in the same plane with the same \[\overrightarrow{B}\] is                                        [CBSE PMT 1991]

    A)            25 keV                                     

    B)            50 keV

    C)            200 keV                                  

    D)            100 keV

    Correct Answer: D

    Solution :

                       \[r=\frac{\sqrt{2mK}}{qB}\Rightarrow K\propto \frac{{{q}^{2}}}{m}\]                    \[\Rightarrow \frac{{{K}_{p}}}{{{K}_{d}}}={{\left( \frac{{{q}_{p}}}{{{q}_{d}}} \right)}^{2}}\times \frac{{{m}_{d}}}{{{m}_{p}}}={{\left( \frac{1}{1} \right)}^{2}}\times \frac{2}{1}=\frac{2}{1}\]            \[\Rightarrow {{k}_{p}}=2\times 50=100\ keV.\]


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