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NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    A particle of charge \[-16\times {{10}^{-18}}C\] moving with velocity \[10m/s\] 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 \[{{10}^{4}}\text{ }V/m\] is along the negative Z-axis. If the charged particle continues moving along the X-axis, the magnitude of B is along the Y-axis and electric field of magnitude \[{{10}^{4}}\text{ }V/m\] is along the negative Z-axis. If the charged particles continues moving along the X-axis, the magnitude of B is:

    A)  \[{{10}^{3}}wb/{{m}^{2}}\]     

    B)  \[{{10}^{5}}wb/{{m}^{2}}\]

    C)  \[{{10}^{16}}wb/{{m}^{2}}\]               

    D)  \[{{10}^{-3}}wb/{{m}^{2}}\]

    Correct Answer: A

    Solution :

    As the net force on the charge \[F={{F}_{e}}+{{F}_{m}}=0\]             \[\Rightarrow \]                \[F=qE+q\,(V\times B)=0\]                          \[\Rightarrow \]               \[B=\frac{E}{V}={{10}^{3}}wb/{{m}^{2}}\]        


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