BCECE Medical BCECE Medical Solved Papers-2008

  • question_answer
    A beam of light travelling along x-axis is described by the electric field \[{{E}_{y}}=(600\,\,V{{m}^{-1}})\,\sin \,\omega \,(t-x/c)\]then maximum magnetic force on a charge\[q=2e\], moving along y-axis with a speed of\[3.0\times {{10}^{7}}m{{s}^{-1}}\] is \[(e=1.6\times {{10}^{-19}}C)\]

    A)  \[19.2\times {{10}^{-17}}N\]

    B)  \[1.92\times {{10}^{-17}}N\]

    C)  0.192 N       

    D)  None of these

    Correct Answer: B

    Solution :

    Maximum magnetic field is given by                 \[{{B}_{0}}=\frac{{{E}_{0}}}{c}\] Here,     \[{{E}_{0}}=600\,V{{m}^{-1}}\],                 \[c=3\times {{10}^{8}}m/s\], \[\therefore \]  \[{{B}_{0}}=\frac{600}{3\times {{10}^{8}}}\]                 \[=2\times {{10}^{-6}}T\] Maximum magnetic force imposed on given charge is                 \[{{F}_{m}}=qv{{B}_{0}}=2ev{{B}_{0}}\]                 \[=2\times 1.6\times {{10}^{-19}}\times 3\times {{10}^{7}}\times 2\times {{10}^{-6}}\] \[=1.92\times {{10}^{-17}}N\]


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