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JEE Main & Advanced Physics EM Waves Question Bank Self Evaluation Test - Electromagnetic Waves

  • question_answer
    A plane electromagnetic wave travels in free space along X-direction. If the value of \[\vec{B}\] (in tesla) at a particular point in space and time is\[1.2\times {{10}^{-8}}\hat{k}\]. The value of \[\vec{E}\] (in \[V{{m}^{-1}}\]) at that point is

    A) \[1.\,2\text{ }\hat{j}\]

    B) \[3.\,6\,\hat{k}\]

    C) \[1.\,2\,\hat{k}\]

    D) \[3.\,6\hat{j}\]

    Correct Answer: D

    Solution :

    [d] Given: \[\vec{B}=1.2\times {{10}^{-8}}\hat{k}T\] \[\vec{E}=?\] From formula, B is along Z-direction and the\[E=Bc=(1.2\times {{10}^{-8}}T)(3\times {{10}^{8}}\,m{{s}^{-1}})=3.6V{{m}^{-1}}\]\[\vec{B}\] is along Z-direction and the wave propagates along X-direction. Therefore \[\vec{E}\] should be along Y-direction. Thus, \[\vec{E}=3.6\hat{j}\,V{{m}^{-1}}\]


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