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

  • question_answer
    The orbital speed of electron orbiting around a nucleus in a circular orbit of radius 50 pm is\[2.2\times {{10}^{6}}\,m{{s}^{-1}}\]. Then the magnetic dipole moment of an electron is                      

    A) \[1.6\times {{10}^{-19}}A{{m}^{2}}\]

    B) \[5.3\times {{10}^{-21}}A{{m}^{2}}\]

    C) \[8.8\times {{10}^{-26}}A{{m}^{2}}\]

    D) \[8.8\times {{10}^{-25}}A{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Magnetic dipole moment \[m=iA=\frac{e}{T}\times \pi {{r}^{2}}=\frac{e}{(2\pi r/v)}\times \pi {{r}^{2}}=\frac{erv}{2}.\] \[=\frac{1.6\times {{10}^{-19}}\times 50\times {{10}^{-12}}\times 2.2\times {{10}^{6}}}{2}\] \[=8.8\times {{10}^{-25}}\,A{{m}^{2}}\].


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