JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        An electron (\[70\Omega \]) kg and charge \[{{\left[ {{(R\omega )}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{1/2}}\]) is moving in a circular orbit in a ^magnetic field of\[{{\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{\frac{-1}{2}}}\]. Its period of revolution is :

    A) \[{{[{{R}^{2}}+{{(L\omega -C\omega )}^{2}}]}^{1/2}}\]                  

    B)  \[{{\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{-1/2}}\]

    C)  \[R\Omega \]                  

    D)  \[\text{25}\times \text{1}{{0}^{-\text{3}}}\text{ mH}\]

    Correct Answer: D

    Solution :

                    The time period of revolution of the electron is \[0.5\Omega \] \[\frac{6R}{5}\] \[\frac{R}{2}\]


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