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

  • question_answer
    If c is the speed of electromagnetic waves in vacuum, its speed in a medium of dielectric constant K and relative permeability \[{{\mu }_{r}}\] is

    A) \[v=\frac{1}{\sqrt{{{\mu }_{r}}K}}\]                

    B) \[v=c\sqrt{{{\mu }_{r}}K}\]

    C) \[v=\frac{c}{\sqrt{{{\mu }_{r}}K}}\]                 

    D) \[v=\frac{K}{\sqrt{{{\mu }_{r}}C}}\]

    Correct Answer: C

    Solution :

    [c] Speed of light of vacuum\[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]and in another medium \[v=\frac{1}{\sqrt{\mu \varepsilon }}\] \[\therefore \,\,\,\frac{c}{v}=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}=\sqrt{{{\mu }_{r}}K}\Rightarrow v=\frac{c}{\sqrt{{{\mu }_{r}}K}}.\]


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