Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
    A particle of charge \[-16\times {{10}^{-18}}C\]moving with velocity \[10\text{ }m{{s}^{-1}}\] along the x-axis enters a region where a magnetic field of induction B is along the y-axis and an electric field of magnitude \[{{10}^{4}}/m\]is along the negative z-axis. If the charged particle continues moving along the x-axis, the magnitude of B is

    A) \[{{10}^{16}}\text{Wb/}{{\text{m}}^{\text{2}}}\]                             

    B) \[{{10}^{5}}\text{Wb/}{{\text{m}}^{\text{2}}}\]

    C) \[{{10}^{3}}\text{Wb/}{{\text{m}}^{\text{2}}}\]                               

    D) \[{{10}^{-3}}\text{Wb/}{{\text{m}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

    As particle is moving without deviation, therefore \[Eq=Bqv\]                 \[\therefore \]  \[B=\frac{E}{v}=\frac{{{10}^{4}}}{10}\]                                 \[={{10}^{3}}Wb/{{m}^{2}}\]


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