RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    In hydrogen atom, an electron is revolving in the orbit of radius \[0.53\,\overset{\text{o}}{\mathop{\text{A}}}\,\] with \[6.6\,\times {{10}^{15}}\] rotation/s. Magnetic field produced at the centre of the orbit is

    A)  \[0.125\,Wb/{{m}^{2}}\]    

    B)         \[1.25\,Wb/{{m}^{2}}\]

    C)  \[12.5\,Wb/{{m}^{2}}\]               

    D)         \[125\,\,Wb/{{m}^{2}}\]

    Correct Answer: C

    Solution :

    The magnetic field at the centre of the orbit                 \[B=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{2\pi (qv)}{r}\] \[={{10}^{-7}}\times \frac{2\times 3.14\times (1.6\times {{10}^{-19}}\times 6.6\times {{10}^{15}})}{0.53\times {{10}^{-10}}}\]                 \[=12.5\,\,Wb/{{m}^{3}}\]


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