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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
    A proton is moving in a uniform magnetic field B is a circular path of radius a in a direction perpendicular to z-axis along which field B exists. Calculate the angular momentum, if the radius is a and charge on proton is e

    A)  \[\frac{Be}{{{a}^{2}}}\]                                

    B)  \[e{{B}^{2}}a\]

    C)  \[{{a}^{2}}eB\]                

    D)  \[aeB\]

    Correct Answer: C

    Solution :

                    As\[\frac{m{{v}^{2}}}{a}=evB\] \[\Rightarrow \]               \[v=\frac{aeB}{m}\] \[\Rightarrow \]               \[J=r\times P=a\times mv\]                 \[=a\times m\left( \frac{aeB}{m} \right)={{a}^{2}}eB\]


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