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JEE Main & Advanced Physics EM Waves Question Bank Mock Test - Electromagnetic Waves and Dual Nature

  • question_answer
    A plane electromagnetic wave \[{{E}_{z}}=100\cos (6\times {{10}^{8}}t+4x)V/m\] propagates in a medium of dielectric constant

    A) 1.5

    B)  2.0

    C) 2.4                   

    D) 4.0

    Correct Answer: B

    Solution :

    [b] Comparing the given equation with equation of plane electromagnetic wave, \[{{E}_{z}}={{E}_{0}}\cos (\omega t+kx)\], we have \[\omega =6\times {{10}^{-8}}\]and \[k=4.\] Velocity of light in medium \[v=\frac{\omega }{k}=\frac{6\times {{10}^{8}}}{4}=\frac{3}{2}\times {{10}^{8}}m/s\] Refractive index, \[\mu =\frac{c}{v}=\frac{3\times {{10}^{8}}}{(3/2)\times {{10}^{8}}}=2\]


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