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JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its   AIEEE  Solved  Paper-2002

    A) speed                                      

    B) mass                                        

    C) charge     

    D)           magnetic induction

    Correct Answer: A

    Solution :

    In a circular motion in a uniform magnetic field, the necessary centripetal force to the charged particle is provided by the magnetic force, i.e.,              \[\frac{m{{v}^{2}}}{r}=qvB\]              or                               \[r=\frac{mv}{qB}\]              Thus, the time period T is                 \[T=\frac{2\pi r}{v}=\frac{2\pi }{v}\left( \frac{mv}{qB} \right)=\frac{2\pi m}{qB}\]              So, T is independent of its speed.


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