JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Self Evaluation Test - Moving Charges and Mangetism

  • question_answer
    A helium nucleus makes a full rotation in a circle of radius 0.8 meter in 2 sec. The value of the magnetic field induction B in tesla at the centre of circle will be

    A) \[2\times {{10}^{-19}}{{\mu }_{0}}\]     

    B)        \[{{10}^{-19}}/{{\mu }_{0}}\]

    C) \[{{10}^{-19}}{{\mu }_{0}}\]     

    D) \[2\times {{10}^{-20}}/{{\mu }_{0}}\]

    Correct Answer: C

    Solution :

    [c] \[B=\frac{{{\mu }_{0}}}{4\pi }\frac{2\pi i}{r}\]where \[i=\frac{2e}{t}=\frac{2\times 1.6\times {{10}^{-19}}}{2}=1.6\times {{10}^{-19}}\,A\] \[\therefore \,\,B=\frac{{{\mu }_{0}}i}{2r}=\frac{{{\mu }_{0}}\times 1.6\times {{10}^{-19}}}{2\times 0.8}={{\mu }_{0}}\times {{10}^{-19}}T\]  


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