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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its:

    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., \[\frac{m{{v}^{2}}}{r}=qvB\] \[r=\frac{mv}{qB}\] Thus, the time period T is                 \[T=\frac{2\pi r}{v}\]                 \[=\frac{2\pi m}{qB}\] So, Tis independent of its speed.


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