NEET Sample Paper NEET Sample Test Paper-93

  • question_answer
    The electric field associated with an e.m. wave in vacuum is given by \[\overrightarrow{E}=\overrightarrow{i}\,\,40\cos (kz-6\times {{10}^{8}}t),\] where E, z and t are in volt/m, meter and seconds respectively. The value of wave vector k is

    A) \[2\,\,{{m}^{-1}}\]      

    B)        \[0.5\,{{m}^{-1}}\]

    C) \[6\,{{m}^{-1}}\]        

    D)        \[3\,{{m}^{-1}}\]

    Correct Answer: A

    Solution :

    [a] On comparing the given equation to \[\overrightarrow{E}={{a}_{0}}\hat{i}\cos (\omega t-kz)\] \[\omega =6\times {{10}^{8}},\] \[k=\frac{2\pi }{r}=\frac{\omega }{c}\] \[k=\frac{\omega }{c}=\frac{6\times {{10}^{8}}}{3\times {{10}^{8}}}=2\,{{m}^{-1}}\]


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