JIPMER Jipmer Medical Solved Paper-2000

  • question_answer
    An electron having charge \[1.6\times {{10}^{-19}}\] and mass \[9\times {{10}^{-31}}kg\] is moving with \[4\times {{10}^{6}}m{{s}^{-1}}\] speed in a magnetic field \[2\times {{10}^{-1}}\] tesla in a circular orbit. The force acting on electron and the radius of the circular orbit will be:

    A)  \[1.28\times {{10}^{-13}}N,\text{ }1.1\times {{10}^{-4}}m\]

    B)         \[1.28\times {{10}^{-13~~}}N,\text{ }1.1\text{ }{{10}^{-3}}m\]

    C)         \[1.28\times {{10}^{-14~}}N,\text{ }1.1\times {{10}^{-3}}m\]

    D)         \[12.8\times {{10}^{-13~}}N,\text{ }1.1\times {{10}^{-4}}m\]

    Correct Answer: A

    Solution :

    From the relation \[F=qvB=1.6\times {{10}^{-19}}\times 4\times {{10}^{6}}\times 2\times {{10}^{-1}}\] \[=1.28\times {{10}^{-13}}N\] Radius of circular orbit is given by \[r=\frac{m\upsilon }{qB}=\frac{9\times {{10}^{-31}}\times 4\times {{10}^{6}}}{1.6\times {{10}^{-19}}\times 2\times {{10}^{-1}}}\] \[=1.1\times {{10}^{-4}}m\]


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