VIT Engineering VIT Engineering Solved Paper-2010

  • question_answer
    In the hydrogen atom, the electron is making\[6.6\times {{10}^{15}}\,\text{rps}\]. If the radius of the orbit is \[0.53\times {{10}^{-10}}m\], then magnetic field produced at the centre of the orbit is

    A)  140 T          

    B)  12.5 T

    C)  1.4 T            

    D)  0.14 T  

    Correct Answer: B

    Solution :

    Current,   \[i=qv\] \[B=\frac{{{\mu }_{0}}i}{2r}=\frac{{{\mu }_{0}}qv}{2r}\] \[=\frac{4\pi \times {{10}^{-7}}\times 1.6\times {{10}^{-19}}\times 6.6\times {{10}^{15}}}{2\times 0.53\times {{10}^{-10}}}\] \[=\frac{2\pi \times 1.6\times 6.6}{5.3}=12.513T\]


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