J & K CET Medical J & K - CET Medical Solved Paper-2009

  • question_answer
    A charge q coulomb makes n revolutions in one second in a circular orbit of radius r. The magnetic field at the centre of the orbit in \[N{{A}^{-1}}{{m}^{-1}}\]is

    A) \[\frac{2\pi rn}{q}\times {{10}^{-7}}\]                    

    B) \[\left( \frac{2\pi q}{r} \right)\times {{10}^{-7}}\]

    C) \[\left( \frac{2\pi q}{nr} \right)\times {{10}^{-7}}\]                          

    D) \[\left( \frac{2\pi nq}{r} \right)\times {{10}^{-7}}\]

    Correct Answer: D

    Solution :

                     \[{{\beta }_{centre}}=\frac{{{\mu }_{0}}I}{2r}\]\[=\frac{{{10}^{-7}}\times 4\pi \times (nq)}{2r}=\frac{2\pi nq}{r}\times {{10}^{-7}}\]


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