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

  • question_answer
    A charged particle is moving in a uniform magnetic field in a circular path. Radius of circular path is R. When energy of particle is doubled, then new radius will be [CPMT 1999; Pb. PET 2002]

    A)            \[R\sqrt{2}\]                        

    B)            \[R\sqrt{3}\]

    C)            2 R

    D)            3 R

    Correct Answer: A

    Solution :

               \[r=\frac{\sqrt{2mK}}{qB}\Rightarrow r\propto \sqrt{K}\] \[\Rightarrow \frac{R}{{{R}_{2}}}=\sqrt{\frac{K}{2K}}\Rightarrow {{R}_{2}}=R\sqrt{2}\]


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