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 mass m and charge +e is moving in a circular orbit in a magnetic field with energy 1 MeV. What should be the energy of \[\alpha -\]particle (mass = 4m and charge = + 2e), so that it can revolve in the path of same radius [BHU 1997]

    A)            1 MeV                                     

    B)            4 MeV

    C)            2 MeV                                     

    D)            0.5 MeV

    Correct Answer: A

    Solution :

                       \[r=\frac{\sqrt{2mK}}{qB}\] Þ \[K\propto \frac{{{q}^{2}}}{m}\] Þ \[\frac{{{K}_{p}}}{{{K}_{\alpha }}}={{\left( \frac{{{q}_{p}}}{{{q}_{\alpha }}} \right)}^{2}}\times \frac{{{m}_{\alpha }}}{{{m}_{p}}}\]            Þ \[\frac{1}{{{K}_{\alpha }}}={{\left( \frac{{{q}_{p}}}{2{{q}_{p}}} \right)}^{2}}\times \frac{4{{m}_{p}}}{{{m}_{p}}}=1\] Þ \[{{K}_{\alpha }}=1\,MeV\].


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