BCECE Medical BCECE Medical Solved Papers-2010

  • question_answer
    In hydrogen atom the electron is making \[6.6\times {{10}^{15}}\] rev/s around the nucleus of radius 0.53 \[\overset{o}{\mathop{A}}\,\]. The magnetic field produced at the centre of the orbit is nearly

    A)  0.12 \[Wb/{{m}^{2}}\]    

    B)  1.2 \[Wb/{{m}^{2}}\]

    C)  12 \[Wb/{{m}^{2}}\]

    D)  120 \[Wb/{{m}^{2}}\]

    Correct Answer: C

    Solution :

    Magnetic field produced at the centre                 \[B=\frac{{{\mu }_{0}}i}{2\,r}\]                 \[=\frac{{{\mu }_{0}}}{2\,r}\frac{q}{T}=\frac{{{\mu }_{0}}}{2\,r}ef\] \[\therefore \] \[B=\frac{4\pi \times {{10}^{-7}}}{2\times 0.53\times {{10}^{-10}}}\times 1.6\times {{10}^{-19}}\]                  \[\times 6.6\times {{10}^{15}}\]                 \[=\frac{2\pi }{0.53}\times 1.6\times 6.6\times {{10}^{-1}}\] \[\approx 12\,Wb/{{m}^{2}}\]


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